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|---|---|---|---|---|---|---|---|---|---|---|---|---|
ART001185302
|
oai_dc
|
Some Inequalities for Random Variables Whose Probability Density Functions Are Bounded Using an Improvement of Gruss Inequality
|
Some Inequalities for Random Variables Whose Probability Density Functions Are Bounded Using an Improvement of Gruss Inequality
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Dah-Yan Hwang(Northern Taiwan Institute of Science and Technology)"
] |
Some recent inequalities for expectation and cumulative distribution functions are improved.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART001185301
|
oai_dc
|
Uniform Topology on Hilbert Algebras
|
Uniform Topology on Hilbert Algebras
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"A. Borumand Saeid(Islamic Azad University of Kerman); H. Babaei(Islamic Azad University of Kerman); M. Haveshki(Shahid Bahonar University of Kerman)"
] |
We use a congruence relation on deductive systems of a Hilbert algebra H , to define a uniform structure on H and investigate the corresponding topology.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART001099378
|
oai_dc
|
Remarks on Fixed Point Theorems of Non-Lipschitzian Self-mappings
|
Remarks on Fixed Point Theorems of Non-Lipschitzian Self-mappings
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Tae-Hwa Kim(Pukyong National University); Byung-Ik Jeon(Pukyong National University)"
] |
In 1994, Lim-Xu asked whether the Maluta’s constant D(X )< 1 implies fixed point property for asymptotically nonexpansive mappings and gave a partial solution for this question under an additional assumption for T, i.e., weakly asymptotic regularity of T. In this paper, we shall prove that the result due to Lim-Xu is also satisfied for more general non-Lipschitzian mappings in refrexive Banach spaces with weak uniform normal structure. Some applications of this result are also added.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART000971060
|
oai_dc
|
Existence and Uniqueness Theorems for Certain Forth-order Boundary Value Problems
|
Existence and Uniqueness Theorems for Certain Forth-order Boundary Value Problems
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Pei Minghe(Bei Hua University); Sung Kag Chang(Yeungnam University)"
] |
In this paper, by using the Leray-Schauder continuation theorem and Wirtinger-type inequalities, we establish the existence and uniqueness theorems for two-point boundary value problems of a certain class of fourth-order nonlinear dierential equations.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART000971062
|
oai_dc
|
First Order Differential Subordinations and Starlikeness of Analytic Maps in the Unit Disc
|
First Order Differential Subordinations and Starlikeness of Analytic Maps in the Unit Disc
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Sukhjit Singh(Sant Longowal Institute of Engineering and Technology); Sushma Gupta(Sant Longowal Institute of Engineering and Technology)"
] |
Let be a complex number with a > 0. Let the functions f and g be analytic in the unit disc E = {z :|z| < 1} and normalized by the conditions f(0) = g(0) = 0, f'(0) = g'(0) = 1. In the present article, we study the differential subordinations of the forms z2f00(z)f(z)+zf0(z)f(z)z2g00(z)g(z)+zg0(z)g(z); z2 E;andz2f00(z)f(z)z2g00(z)g(z); z2 E:As consequences, we obtain a number of sufficient conditions for starlikeness of analytic maps in the unit disc. Here, the symbol ‘< ’ stands for subordination.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART000971061
|
oai_dc
|
Generalizations of V-rings
|
Generalizations of V-rings
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Xianmei Song(Southeast University); Xiaobin Yin(Anhui Normal University)"
] |
In this paper, we introduce a new notion which we call a generalized weakly ideal. We also investigate characterizations of strongly regular rings with the condition that every maximal left ideal is a generalized weakly ideal. It is proved that R is a strongly regular ring if and only if R is a left GP-V-ring whose every maximal left (right) ideal is a generalized weakly ideal. Furthermore, if R is a left SGPF ring, and every maximal left (right) ideal is a generalized weakly ideal, it is shown that R=J(R) is strongly regular.Several known results are improved and extended.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART001099379
|
oai_dc
|
On Lifting Modules and Weak Lifting Modules
|
On Lifting Modules and Weak Lifting Modules
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Derya Keskin Tutuncu(University of Hacettepe); Rachid Tribak(Facult des sciences de Ttouan)"
] |
We say that a module M is weak lifting if M is supplemented and every supplement submodule of M is a direct summand. The module M is called lifting, if it is weak lifting and amply supplemented. This paper investigates the structure of weak lifting modules and lifting modules having small radical over commutative noetherian rings.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART000971647
|
oai_dc
|
Examples of Quadratically Hyponormal Weighted Shifts
|
Examples of Quadratically Hyponormal Weighted Shifts
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Wei He(Fudan University); Chunji L(Northeastern University)"
] |
In this paper, we have a further discussion about quadratically hyponormal weighted shifts with weight sequence : a:1;1;pa;.pb;pc;pd.^ on the basis of sufficient conditions for positively quadratically hyponormal weighted shifts. We set examples of quadratically hyponormal weighted shifts with weight sequence of the above form, and also establish a general method for setting examples.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART001099375
|
oai_dc
|
Harmonic Analysis on × , II: Unitary Representations of the Group GL(n,R)
|
Harmonic Analysis on × , II: Unitary Representations of the Group GL(n,R)
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Jae-Hyun Yang(Inha University)"
] |
In this paper, we study unitary representations of the groupGL(n;R)(R^{m;n}).
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART001099376
|
oai_dc
|
Value Distribution of Meromorphic Derivatives
|
Value Distribution of Meromorphic Derivatives
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Indrajit Lahiri(University of Kalyani); Shyamali Dewan(Bhairab Ganguly College)"
] |
In this paper, we discuss the value distribution of the derivative of a mero-morphic function.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART001099377
|
oai_dc
|
Study of Isotropic Immersions
|
Study of Isotropic Immersions
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Nobutaka Boumuki(Osaka City University); Sadahiro Maeda(Shimane University)"
] |
In this expository paper we survey basic results on isotropic immersions.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART001185300
|
oai_dc
|
On (φ, ψ)-intuitionistic Fuzzy Subgroups
|
On (φ, ψ)-intuitionistic Fuzzy Subgroups
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Young Bae Jun(Gyeongsang National University (Korea))"
] |
Using the belongs to relation and quasi-coincidence with relation (q) between intuitionistic fuzzy points and intuitionistic fuzzy sets, the concept of (Φ;Ψ)-intuitionistic fuzzy subgroup where Φ;Ψ are any two of f2;q;2_ q;2^ qg with Φ6= 2^ q is introduced, and related properties are investigated.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART000952555
|
oai_dc
|
On Semirings which are Distributive Lattices of Rings
|
On Semirings which are Distributive Lattices of Rings
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"S. K. Maity(University of Calcutta(India))"
] |
We introduce the notions of nilpotent element, quasi-regular element in a semiring which is a distributive lattice of rings. The concept of Jacobson radical is introduced for this kind of semirings.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART000952556
|
oai_dc
|
Strongly Solid Varieties and Free Generalized Clones
|
Strongly Solid Varieties and Free Generalized Clones
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Klaus Denecke(University of Potsdam (Germany))"
] |
Clones are sets of operations which are closed under composition and contain all projections. Identities of clones of term operations of a given algebra correspond to hyperidentities of this algebra, i.e., to identities which are satisfied after any replacements of fundamental operations by derived operations ([7]). If any identity of an algebra is satisfied as a hyperidentity, the algebra is called solid ([3]). Solid algebras correspond to free clones. These connections will be extended to so-called generalized clones, to strong hyperidentities and to strongly solid varieties. On the basis of a generalized superposition operation for terms we generalize the concept of a unitary Menger algebra of finite rank([6]) to unitary Menger algebras with infinitely many nullary operations and prove that strong hyperidentities correspond to identities in free unitary Menger algebras with infinitely many nullary operations.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART001099322
|
oai_dc
|
Regular Difference Covers
|
Regular Difference Covers
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"K. T. Arasu(Wright State University (U.S.A.)); Ashwani K. Bhandari(Panjab University (India)); Siu-Lun Ma(National University of Singapore (Singapore)); Surinder Sehgal(Ohio State University (U.S.A.))"
] |
We introduce the concept of what we call “regular difference covers” and prove many nonexistence results and provide some new constructions. Although the techniques employed mirror those used to investigate difference sets, the end results in this new setting are quite different.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART000952591
|
oai_dc
|
Locally Polynomial Rings over PVMD's
|
Locally Polynomial Rings over PVMD's
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Hwankoo Kim(Hoseo University (Korea)); Tae In Kwon(Changwon NationalUniversity (Korea))"
] |
Let an integral domain R be locally polynomial over an integral domain D and let R be a content module over D. We show that if D is a PVMD, then Clt(R)= Clt(D).This generalizes the polynomial case. We also show that R is a PVMD if and only if D is a PVMD if and only if RN v is a PVMD.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART000952557
|
oai_dc
|
On a Normal Contact Metric Manifold
|
On a Normal Contact Metric Manifold
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Constantin Calin(Technical University Gh. Asachi (Rumania)); Mihai Ispas(Technical University Gh. Asachi (Rumania) )"
] |
We find the expression of the curvature tensor field for a manifold with is endowed with an almost contact structure satisfying the condition (1.7). By using this condition we obtain some properties of the Ricci tensor and scalar curvature (cf. Theorem3.2 and Proposition 3.2).
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART000970956
|
oai_dc
|
Quasi BCC-algebras
|
Quasi BCC-algebras
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Young Bae Jun(Gyeongsang National University (Korea)); Seok Zun Song(Cheju National University (Korea))"
] |
Using the concept of fuzzy points, the notions of fuzzy point BCC-(sub)algebras, quasi BCC-(sub)algebras and quasi BCC-ideals are introduced. Some characterizations of them are discussed.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART001185138
|
oai_dc
|
Some Applications of Generalized Closed Sets in Fuzzy Topological Spaces
|
Some Applications of Generalized Closed Sets in Fuzzy Topological Spaces
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"M. E. El-Shafei(Mansoura University (Egypt))"
] |
In this paper we introduce the notions of g-regularity and g-normality in fuzzy topological spaces. We obtain some characterizations and several preservation theorems of such spaces.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART000952558
|
oai_dc
|
On L1-convergence of Certain Trigonometric Sums with Generalized Sequence K
|
On L1-convergence of Certain Trigonometric Sums with Generalized Sequence
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Kulwinder Kaur(GZS College of Engineering and Technology (India))"
] |
In this paper a criterion for L1 convergence of a new modied sine sums is obtained by using Ces`aro means of integral and non-integral orders.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART000952559
|
oai_dc
|
Non-homogeneous Linear Differential Equations with Solutions of Finite Order
|
Non-homogeneous Linear Differential Equations with Solutions of Finite Order
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Benharrat Belaidi(University of Mostaganem (Algeria))"
] |
In this paper we investigate the growth of finite order solutions of the differential equation f(k) + Ak 1(z)f(k 1) + + A1(z)f0+ A0(z)f = F(z), where A0(z); ;Ak 1(z) and F(z) 6 0 are entire functions. We find conditions on the coefficients which will guarantees the existence of an asymptotic value for a transcendental entire solution of finite order and its derivatives. We also estimate the lower bounds of order of solutions if one of the coefficient is dominant in the sense that has larger order than any other coefficients.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART000952590
|
oai_dc
|
On a Class of Analytic Functions Related to the Starlike Functions
|
On a Class of Analytic Functions Related to the Starlike Functions
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Chunyi Gao(Changsha University of Science & Technology (China)); Shiqiong Zhou(Changsha University of Science & Technology (China))"
] |
In this paper we discuss a class of analytic functions related to the starlike functions in the unit disk. We prove that this class belongs to the class of close-to-convex functions, we obtain the sharp coefficient upper bounds and distortion theorem of this class, we also get the convexity radius of this class.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART000972556
|
oai_dc
|
On the Basis Number of the Semi-Strong Product of Bipartite Graphs with Cycles
|
On the Basis Number of the Semi-Strong Product of Bipartite Graphs with Cycles
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"M. M. M. Jaradat(Yarmouk University (Jordan)); Maref Y. Alzoubi(Yarmouk University (Jordan))"
] |
A basis of the cycle spaceC(G) is d-fold if each edge occurs in at most d cycles of C(G). The basis number,b(G),of a graph G is defined to be the least integer d such that G has a d-fold basis for its cycle space. MacLane proved that a graph G is planar if and only if b(G) 2. Schmeichel showed that for n 5,b(K n P2) 1 + b(K n ). Ali proved that for n;m 5, b(K n K m ) 3 + b(K n )+ b(K m ). In this paper,we give an upper bound for the basis number of the semi-strong product of a bipartite graph with a cycle.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART001099280
|
oai_dc
|
A Note on Multidimensional Fractional Calculus Operators Involving Gauss Hypergeometric Functions
|
A Note on Multidimensional Fractional Calculus Operators Involving Gauss Hypergeometric Functions
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"R. K. Raina(M. P. University of Agri. & Technology (India)); Pramod Kr. Chhajed(M. L. Sukhadia University (India))"
] |
Making use of the multidimensional fractional calculus operators introduced in
[20], this paper gives the images under these operators of the celebrated Fox’s H-function. Special cases are briefly point out, and some of the results are also studied on general spaces of functions M¸(Rn+ )
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART001099321
|
oai_dc
|
On Lorentzian α-Sasakian Manifolds
|
On Lorentzian α-Sasakian Manifolds
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Ahmet Yildiz(Dumlupinar University (Turkey)); Cengizhan Murathan(Uludag University (Turkey))"
] |
The present paper deals with Lorentzian-Sasakian manifolds with conformally at and quasi conformally at curvature tensor. It is shown that in both cases,the manifold is locally isometric with a sphere S2n +1 (c). Further it is shown that an Lorentzian -Sasakian manifold with R(X;Y):C = 0 is locally isometric with a sphere S2n +1 (c), wherec = 2.0.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART000970959
|
oai_dc
|
The Tunnel Number One Knot with Bridge Number Three is a (1, 1)-knot
|
The Tunnel Number One Knot with Bridge Number Three is a (1, 1)-knot
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"김수환(Dongeui University (Korea))"
] |
We call K a (1;1)-knot in M if M is a union of two solid tori V1 and V2 glued along their boundary tori@V1 and @V2 and if K intersects each solid torus Vi in a trivial arc ti fori = 1 and 2. Note that every (1;1)-knot is a tunnel number one knot. In this article,we determine when a tunnel number one knot is a (1;1)-knot. In other words,we show that any tunnel number one knot with bridge number 3 is a (1;1)-knot.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART001099429
|
oai_dc
|
On the Rate of Convergence of Modified Baskakov Type Operators on Functions of Bounded Variation
|
On the Rate of Convergence of Modified Baskakov Type Operators on Functions of Bounded Variation
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Naokant Deo(Delhi College of Engineering)"
] |
The aim of this paper is to establish the rate of convergence of Baskakov-Durrmeyer operators for bounded variation function. We have given the better estimateover the results due to Guo ([4]), Anial and Teberska ([1]) and Gupta and Srivastava ([8]).
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART001099481
|
oai_dc
|
Oscillation Criteria of Second-order Half-linear Delay Difference Equations
|
Oscillation Criteria of Second-order Half-linear Delay Difference Equations
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"S. H. Saker(Mansoura University)"
] |
In this paper, we will establish some new oscillation criteria for the second-order half-linear delay dierence equation(pn (xn )) + qn xn = 0 ; n n0; where > 0 is a quotient of odd positive integers. Our results in this paper are sharp andimprove some of the well known oscillation results in the literature. Some examples areconsidered to illustrate our main results.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART001099424
|
oai_dc
|
Fredholm Type Integral Equations and Certain Polynomials
|
Fredholm Type Integral Equations and Certain Polynomials
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"V. B. L. Chaurasia(University of Rajasthan); A. S. Shekhawat(University of Rajasthan)"
] |
This paper deals with some useful methods of solving the one-dimensionalintegral equation of Fredholm type. Application of the reduction techniques with a viewto inverting a class of integral equation with Lauricella function in the kernel, Riemann-Liouville fractional integral operators as well as Weyl operators have been made to reduceto this class to generalized Stieltjes transform and inversion of which yields solution ofthe integral equation. Use of Mellin transform technique has also been made to solve theFredholm integral equation pertaining to certain polynomials and H -functions.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART000979080
|
oai_dc
|
Extension of Exponentially Convex Function on the Heisenberg Group
|
Extension of Exponentially Convex Function on the Heisenberg Group
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"A. M. Zabel(Al-Azhar University); Maha A. Bajnaid(Girls College of Education in Jeddah)"
] |
The main purpose of this paper is to extend the exponentially convex func-tions which are dened and exponentially convex on a cylinderical neighborhood in theHeisenberg group. They are expanded in terms of an integral transform associated to thesub-Laplacian operator. Extension of such functions on abelian Lie group are studied in[15].
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART000978941
|
oai_dc
|
A Completion of Semi-simple MV-algebra
|
A Completion of Semi-simple MV-algebra
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"T. H. Choe(McMaster University); E. S. Kim(Kyungpook National University); Y. S. Park(Kyungpook National University)"
] |
We first show that any complete MV -lgebra whose Boolean subalgebraof idempotent elements is atomic, called a complete MV -algebra with atomic center, isisomorphic to a product of unit interval MV -algebra I’s and finite linearly ordered MV -algebras of A(m)-type (m 2 Z+). Secondly, for a semi-simple MV -algebra A, we introduce a completion ±(A) of A which is a complete, MV -algebra with atomic center. Under their intrinsic topologies (see x3) A is densely embedded into ±(A): Moreover, ±(A) has the extension universal property so that complete MV -algebras with atomic centers are epireflective in semi-simple MV -algebras
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART001099428
|
oai_dc
|
Inverse of Frobenius Graphs and Flexibility
|
Inverse of Frobenius Graphs and Flexibility
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Abdulla Aljouiee(Teachers College of Saudi Arabia)"
] |
Weak Crossed Product Algebras correspond to certain graphs called lowersubtractive graphs. The properties of such algebras can be obtained by studying this kindof graphs ([4], [5]). In [1], the author showed that a weak crossed product is Frobeniusand its restricted subalgebra is symmetric if and only if its associated graph has a uniquemaximal vertex. A special construction of these graphs came naturally and was known asstandard lower subtractive graph. It was a deep question that when such a special graphpossesses unique maximal vertex? This work is to answer the question partially and to give a particular characterizationfor such graphs at which the corresponding algebras are isomorphic. A graph that followsthe mentioned characterization is called exible. Flexibility is to some extend a general-ization of the so-called Coxeter groups and its weak Bruhat ordering.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART000979083
|
oai_dc
|
A Note on Central Separable Cancellative Semialgebras
|
A Note on Central Separable Cancellative Semialgebras
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"R. P. Deore(North Maharashtra University); K. B. Patil(Jaihind College)"
] |
Here we dene Central separable semialgebras and to prove some structuretheorems for central separable cancellative, semialgebras over a commutative and cancella-tive semiring.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART000979081
|
oai_dc
|
A Note on Potent Elements
|
A Note on Potent Elements
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Huanyin Chen(Zhejiang Normal University)"
] |
In this paper, we prove that every exchange ring can be characterized bypotent elements. Also we extend [10, Theorem 3.1 and Theorem 4.1] to quasi-clean ringsin which every element is a sum of a potent element and a unit.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART000979082
|
oai_dc
|
Some Topologies Induced by b-open Sets
|
Some Topologies Induced by b-open Sets
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"M. E. Abd El-Monsef(Tanta University); A. A. El-Atik(Tanta University); M. M. El-Sharkasy(Tanta University)"
] |
The class ofb-open sets in the sense of Andrijevi´c([3]), was discussed byEl-Atik ([9]) under the name of-open sets. This class is closed under arbitraryunion. The aim of this paper is to use Λ-sets and_-sets due to Maki ([15]) sometopologies are constructed with the concept ofb-open sets.b-Λ-sets,b-_-sets arethe basic concepts introduced and investigated. Moreover, several types of nearcontinuous function based onb-Λ-sets,b-_-sets are constructed and studied.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART000979247
|
oai_dc
|
Intuitionistic Fuzzy Bi-ideals of Ordered Semigroups
|
Intuitionistic Fuzzy Bi-ideals of Ordered Semigroups
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Young Bae Jun(Gyeongsang National University)"
] |
The intuitionistic fuzzication of the notion of a bi-ideal in ordered semigroupsis considered. In terms of intuitionistic fuzzy set, conditions for an ordered semigroup tobe completely regular is provided. Characterizations of intuitionistic fuzzy bi-ideals inordered semigroups are given. Using a collection of bi-ideals with additional conditions,an intuitionistic fuzzy bi-ideal is constructed. Natural equivalence relations on the set ofall intuitionistic fuzzy bi-ideals of an ordered semigroup are investigated.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART001099427
|
oai_dc
|
An-annular Complexes in 3-manifolds
|
An-annular Complexes in 3-manifolds
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Yo'av Rieck(University of Arkansas)"
] |
Given a non-Haken, non Seifert bred manifold we describe an algorithm thattakes 2 (not necessarily distinct) Heegaard surfaces and produces a complex with certainuseful properties (Properties 5.1). Our main tool is Rubinstein and Scharlemann’s Cerftheoretic work ([5]).
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART000978940
|
oai_dc
|
Variants of Compactness in Pointfree Topology
|
Variants of Compactness in Pointfree Topology
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Bernhard Banaschewski(Mcmaster university); Sung Sa Hong(서강대학교)"
] |
This paper introduces compactnessnotions forframeswhich areexpressedintermsofthe convergenceofsuitably specied general lters.It establishesseveral preser-vation propertiesforthem as well as theircoreectivenessin the settingofregularframes.Further,it shows that supercompact,compact,and Lindelof framescan be described bycompactnessconditions of the present formso that various familiarfactsbecome conse-quences of these general results.In addition, the Prime Ideal Theorem and the AxiomofCountable Choice are proved to be equivalent to certainconditions connected with thekind ofcompactnessconsidered here.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART001185303
|
oai_dc
|
A Note on an Analogous Continued Fraction of Ramanujan
|
A Note on an Analogous Continued Fraction of Ramanujan
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Bhaskar Srivastava(Lucknow University)"
] |
We give an integral representation for an analogous continued fraction of Ra-manujan, for this we rst prove an interesting identity.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART001099425
|
oai_dc
|
Multifractal Analysis of Perturbed Cantor Sets
|
Multifractal Analysis of Perturbed Cantor Sets
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Hun Ki Baek(Kyungpook National University); Hung Hwan Lee(Kyungpook National University)"
] |
LetfK g 2 . be the multifractal spectrums of a perturbed Cantor setK . Wend the set of values of nonempty setK by using the Birkho ergodic theorem. Andwe also show that suchK is a fractal set in the sense of Taylor [12].
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART001099426
|
oai_dc
|
Eventually Regular Regressive Generalized Transformation Semigroups
|
Eventually Regular Regressive Generalized Transformation Semigroups
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Amorn Wasanawichit(Chulalongkorn University); T. Phongpattanacharoen(Chulalongkorn University); Yupaporn Kemprasit(Chulalongkorn University)"
] |
Necessary and sucient conditions have been provided for some standardregressive transformation semigroups on a poset to be eventually regular. Our main pur-pose is to generalize this result by characterizing when their generalized semigroups areeventually regular.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART001263865
|
oai_dc
|
The Real Rank of CCR C*-Algebras
|
The Real Rank of CCR C*-Algebras
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Takahiro Sudo(University of the)"
] |
We estimate the real rank of CCR C*-algebras under some assumptions. As
applications we determine the real rank of the reduced group C*-algebras of non-compact
connected, semi-simple and reductive Lie groups and that of the group C*-algebras of
connected nilpotent Lie groups
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART001263871
|
oai_dc
|
Normal Families and Shared Values of Meromorphic Functions
|
Normal Families and Shared Values of Meromorphic Functions
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Chao Meng(Shandong University)"
] |
Some criteria for determining the normality of the family F of meromorphic
functions in the unit disc, which share values depending on f ∈ F with their derivatives
is obtained. The new results in this paper improve some earlier related results given by
Pang and Zalcman [3], Fang and Zalcman [2], A. P. Singh and A. Singh [5].
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART001263864
|
oai_dc
|
On Bessel's and Gruss Inequalities for Orthonormal Families in 2-Inner Product Spaces and Applications
|
On Bessel's and Gruss Inequalities for Orthonormal Families in 2-Inner Product Spaces and Applications
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Sever Silverstru Dragomir(Victoria University of Technology); 조열제(경상대학교); Seong Sik Kim(Dongeui University); 김영호(창원대학교)"
] |
A new counterpart of Bessel’s inequality for orthonormal families in real or complex 2-inner product spaces is obtained. Applications for some Gr¨uss inequality for determinantal integral inequalities are also provided.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART001258209
|
oai_dc
|
A Formula for the Colored Jones Polynomial of 2-Bridge Knots
|
A Formula for the Colored Jones Polynomial of 2-Bridge Knots
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Toshie Takata(Niigata University)"
] |
We derive a formula for the colored Jones polynomial of 2-bridge knots. For
a twist knot, a more explicit formula is given and it leads to a relation between the degree
of the colored Jones polynomial and the crossing number.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART001262564
|
oai_dc
|
On the Finiteness and Non-Existence of Certain Mod 2 Galois Representations of Quadratic Fields
|
On the Finiteness and Non-Existence of Certain Mod 2 Galois Representations of Quadratic Fields
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Hyunsuk Moon(Kyungpook National University); Yuichiro Taguchi(Kyushu University)"
] |
Some finiteness and non-existence results are proved of 2-dimensional mod 2
Galois representations of quadratic fields unramified outside 2.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART001263863
|
oai_dc
|
Conformally Flat Totally Umbilical Submanifolds in Some Semi-Riemannian Manifolds
|
Conformally Flat Totally Umbilical Submanifolds in Some Semi-Riemannian Manifolds
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Stanisław Ewert-Krzemieniewski(Szczecin University of Technology)"
] |
We prove that totally umbilical submanifold M of an extended quasi-recurren
manifold is also extended quasi-recurrent. If, moreover, M is conformally flat then, locally,
M is isometric to the manifold with known metric. Some curvature properties of such
submanifold are investigated. Making use of these results we shall prove the existence of
totally umbilical submanifold being pseudosymmetric in the sense of Ryszard Deszcz and
satisfying some other curvature conditions.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART001263752
|
oai_dc
|
On The Function Rings of Pointfree Topology
|
On The Function Rings of Pointfree Topology
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Bernhard Banaschewski(McMaster University)"
] |
The purpose of this note is to compare the rings of continuous functions,
integer-valued or real-valued, in pointfree topology with those in classical topology. To
this end, it first characterizes the Boolean frames (= complete Boolean algebras) whose
function rings are isomorphic to a classical one and then employs this to exhibit a large
class of frames for which the functions rings are not of this kind. An interesting feature of
the considerations involved here is the use made of nonmeasurable cardinals. In addition,
the integer-valued function rings for Boolean frames are described in terms of internal
lattice-ordered ring properties
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART001263872
|
oai_dc
|
Pascal Triangle and Properties of Bipartite Steinhaus Graphs
|
Pascal Triangle and Properties of Bipartite Steinhaus Graphs
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"임대근(계명대학교)"
] |
In this paper, we investigate the number of ones in rows of Pascal’s Rectangle.
Using these results, we determine the existence of regular bipartite Steinhaus graphs. Also, we give an upper bound for the minimum degree of bipartite Steinhaus graphs.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART001263868
|
oai_dc
|
Crosscap Numbers of Two -component Links
|
Crosscap Numbers of Two -component Links
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Gengyu Zhang(Tokyo Institute of Technology)"
] |
We define the crosscap number of a 2-component link as the minimum of the
first Betti numbers of connected, non-orientable surfaces bounding the link. We discuss
some properties of the crosscap numbers of 2-component links.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART001263862
|
oai_dc
|
The Asymptotic Stability of x_n+1-a²x_n-1+bx_n-k=0
|
The Asymptotic Stability of x_n+1-a²x_n-1+bx_n-k=0
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Piyapong Niamsup(Chiangmai University); Yongwimon Lenbury(Mahidol University)"
] |
We give the necessary and sufficient conditions for the asymptotic stability of
the linear delay difference equation x_n+1 − a²x_n−1 + bx_n−k = 0, n = 0, 1, · · · , where a
and b are arbitrary real numbers and k is a positive integer greater than 1. The obtained
conditions are given in terms of parameters a and b of difference equations. The method
of proof is based on arithematic of complex numbers as well as properties of analytic functions.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART001265163
|
oai_dc
|
Some Finite Integrals Involving The Product of Srivastava's Polynomials and A Certain H-Function with Applications
|
Some Finite Integrals Involving The Product of Srivastava's Polynomials and A Certain H-Function with Applications
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Yashwant Singh(S.M.L.(P.G.)College); Atul Garg(S.M.L.(P.G.)College)"
] |
The aim of this paper is to evaluate four finite integrals involving the product
of Srivastava’s polynomials, a generalized hypergeometric function and ¯H -function proposed
by Inayat Hussian which contains a certain class of Feynman integrals. At the end,
we give an application of our main findings by connecting them with the Riemann-Liouville
type of fractional integral operator. The results obtained by us are basic in nature and
are likely to find useful applications in several fields notably electric networks, probability
theory and statistical mechanics.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART001263869
|
oai_dc
|
Weakly Complementary Cycles in 3-Connected Multipartite Tournaments
|
Weakly Complementary Cycles in 3-Connected Multipartite Tournaments
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Lutz Volkmann(RWTH Aachen); Stefan Winzen(RWTH Aachen)"
] |
The vertex set of a digraph D is denoted by V (D). A c-partite tournament is
an orientation of a complete c-partite graph. A digraph D is called cycle complementary
if there exist two vertex disjoint cycles C₁ and C₂ such that V (D) = V (C₁) ∪ V (C₂),
and a multipartite tournament D is called weakly cycle complementary if there exist
two vertex disjoint cycles C₁ and C₂ such that V (C₁) ∪ V (C₂) contains vertices of all
partite sets of D. The problem of complementary cycles in 2-connected tournaments was
completely solved by Reid [4] in 1985 and Z. Song [5] in 1993. They proved that every
2-connected tournament T on at least 8 vertices has complementary cycles of length t and
│V(T)│ ¡ t for all 3 ≤ t ≤ │V(T)│/2. Recently, Volkmann [8] proved that each regular
multipartite tournament D of order │V (D)│ ≥ 8 is cycle complementary. In this article,
we analyze multipartite tournaments that are weakly cycle complementary. Especially, we
will characterize all 3-connected c-partite tournaments with c ≥ 3 that are weakly cycle
complementary.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART001263870
|
oai_dc
|
The Basis Number of the Lexicographic Product of DifferentLadders with Paths and Cycles
|
The Basis Number of the Lexicographic Product of DifferentLadders with Paths and Cycles
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Maref Y. M. Alzoubi(Yarmouk University); Reem A. Al-Ta’ani(Yarmouk University)"
] |
In [8] M. Y. Alzoubi and M. M. Jaradat studied the basis number of the composition
of paths and cycles with Ladders, Circular ladders and M¨obius ladders. Namely,
they proved that the basis number of these graphs is 4 except possibly for some cases in
each of them. Since the lexicographic product is noncommutative, in this paper we investigate
the basis number of the lexicographic product of the different kinds of ladders with
paths and cycles. In fact, we prove that the basis number of almost all of these graphs is
4.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART001263866
|
oai_dc
|
On a Background of the Existence of Multi-variable Link Invariants
|
On a Background of the Existence of Multi-variable Link Invariants
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Fumikazu Nagasato(Meijo University); Kanau Hamai(Kozo Keikaku Engineering Inc.)"
] |
We present a quantum theorical background of the existence of multi-
variable link invariants, for example the Kauffman polynomial, by observing the quan-
tum (sl(2,C), ad)-invariant from the Kontsevich invariant point of view. The background
implies that the Kauffman polynomial can be studied by using the sl(N,C)-skein theory
similar to the Jones polynomial and the HOMFLY polynomial
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART001265707
|
oai_dc
|
A Note on Subnormal and Hyponormal Derivations
|
A Note on Subnormal and Hyponormal Derivations
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Vasile Lauric(Florida A&M University)"
] |
In this note we prove that if A and B* are subnormal operators and X
is a bounded linear operator such that AX − XB is a Hilbert-Schmidt operator, then
f(A)X − Xf(B) is also a Hilbert-Schmidt operator and
||f(A)X − Xf(B)||₂≤ L||AX − XB||₂,
for f belonging to a certain class of functions. Furthermore, we investigate the similar
problem in the case that S, T are hyponormal operators and X 2 L(H) is such that
SX − XT belongs to a norm ideal (J, || · ||J ) and prove that f(S)X − Xf(T) 2 J and
||f(S)X − Xf(T)||J ≤ C ||SX − XT||J ,
for f in a certain class of functions.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART001024919
|
oai_dc
|
On an Extension of Hardy-Hilbert'sInequality
|
On an Extension of Hardy-Hilbert'sInequality
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Bicheng Yang(Guangdong Institute of Education)"
] |
In this paper, by introducing three parameters A, B and ¸, and estimating
the weight coefficient, we give a new extension of Hardy-Hilbert’s inequality with a best
constant factor, involving the Beta function. As applications, we consider its equivalent
inequality.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART001024920
|
oai_dc
|
Remarks on ＂Representable DifferenceAlgebras＂
|
Remarks on ＂Representable DifferenceAlgebras＂
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Sun Shin Ahn(Dongguk University); Kyoung Ja Lee(Kookmin University)"
] |
In this note we show that a representable difference algebra is equivalent to a
commutative BCK-algebra.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART001099636
|
oai_dc
|
Symmetry Properties of 3-dimensional D'Atri Spaces
|
Symmetry Properties of 3-dimensional D'Atri Spaces
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Mohamed Belkhelfa(Centre Universitaire); Ryszard Deszcz(Agricultural University of Wroclaw); Leopold Verstraelen(Catholic University Leuven)"
] |
We investigate semi-symmetry and pseudo-symmetry of some 3-dimensional
Riemannian manifolds: the D’Atri spaces, the Thurston geometries as well as the ´-
Einstein manifolds. We prove that all these manifolds are pseudo-symmetric and that
many of them are not semi-symmetric.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART001099637
|
oai_dc
|
The Action of the Handlebody Group on the First Homology Group of the Surface
|
The Action of the Handlebody Group on the First Homology Group of the Surface
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Susumu Hirose(Saga University)"
] |
The action of mapping class groups of a handlebody on the first homology
group is investigated. A homological analogy of mapping class groups of a handlebody is
defined and its system of generators is given.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART001024916
|
oai_dc
|
Lp Boundedness for Singular IntegralOperators with (log ) Kernels on Product Spaces
|
Lp Boundedness for Singular IntegralOperators with (log ) Kernels on Product Spaces
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Hussain Al-Qassem(Yarmouk University); Mohammed Ali(Yarmouk University)"
] |
In this paper, we study the Lp mapping properties of singular integral operators
related to homogeneous mappings on product spaces with kernels which belong to
L(log+ L)2. Our results extend as well as improve some known results on singular integrals.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART001024915
|
oai_dc
|
The Uniform Convergence of a Sequence of Weighted Bounded Exponentially Convex Functions on Foundation Semigroups
|
The Uniform Convergence of a Sequence of Weighted Bounded Exponentially Convex Functions on Foundation Semigroups
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Hoda A. Ali(Al-Azhar University)"
] |
In the present paper we shall prove that on a foundation ¤-semigroup S with
an identity and with a locally bounded Borel measurable weight function !, the pointwise
convergence and the uniform convergence of a sequence of !-bounded exponentially convex
functions on S which are also continuous at the identity are equivalent.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART001099640
|
oai_dc
|
Path-connected Group Extensions
|
Path-connected Group Extensions
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Laurie A. Edler(Georgia College); Victor P. Schneider(University of Louisiana at Lafayette)"
] |
Let N be a normal subgroup of a path-connected topological group (G; t). In
this paper, the authors consider the existence of path-connectedness in refined topologies
in order to address the property of maximal path-connectedness in topological groups. In
particular, refinements on t and refinements on the quotient topology on G=N are studied.
The preservation of path-connectedness in extending topologies and translation topologies
is also considered.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART001024755
|
oai_dc
|
On Finite Integrals Involving JacobiPolynomials and the -function
|
On Finite Integrals Involving JacobiPolynomials and the -function
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Rajendra P. Sharma(Government Engineering College (India))"
] |
In this paper, we first establish an interesting new finite integral whose integrand
involves the product of a general class of polynomials introduced by Srivastava [13]
and the generalized H-function ([9], [10]) having general argument. Next, we present five
special cases of our main integral which are also quite general in nature and of interest by
themselves. The first three integrals involve the product of H-function with Jacobi polynomial,
the product of two Jacobi polynomials and the product of two general binomial
factors respectively. The fourth integral involves product of Jacobi polynomial and well
known Fox’s H-function and the last integral involves product of a Jacobi polynomial and
‘g’ function connected with a certain class of Feynman integral which may have practical
applications.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART001024914
|
oai_dc
|
Discrete Group Method for Nonlinear HeatEquation
|
Discrete Group Method for Nonlinear HeatEquation
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Parviz Darania(Urmia University); Ali Ebadian(Urmia University)"
] |
In the category of the group theoretic methods using invertible discrete group
transformation, we give a useful relation between Emden-Fowler equations and nonlinear
heat equation. In this paper, by means of appropriate transformations of discrete group
analysis, the nonlinear hate equation transformed into the class of the Emden-Fowler equations.
This approach shows that, under the group action, the solution of reference equation
can be transformed into the solution of the transformed equation.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART001099586
|
oai_dc
|
Sensitivity Analysis for GeneralizedNonlinear Implicit Quasi-variational Inclusions
|
Sensitivity Analysis for GeneralizedNonlinear Implicit Quasi-variational Inclusions
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Jae Ug Jeong(Dong Eui University)"
] |
In this paper, by using the concept of the resolvent operator, we study the
behavior and sensitivity analysis of the solution set for a new class of parametric generalized
nonlinear implicit quasi-variational inclusion problem in Lp(p ¸ 2) spaces. The results
presented in this paper are new and generalize many known results in this field.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART001099638
|
oai_dc
|
Smarandache Fresh and Clean Ideals ofSmarandache -algebras
|
Smarandache Fresh and Clean Ideals ofSmarandache -algebras
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Young Bae Jun(Gyeongsang National University)"
] |
The notion of Smarandache fresh and clean ideals is introduced, examples are
given, and related properties are investigated. Relations between Q-Smarandache fresh ideals
and Q-Smarandache clean ideals are given. Extension properties for Q-Smarandache
fresh ideals and Q-Smarandache clean ideals are established.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART001024917
|
oai_dc
|
Best Approximation Result in Locally Convex Space
|
Best Approximation Result in Locally Convex Space
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Hemant Kumar Nashine(Raipur Institute of Technology)"
] |
A fixed point theorem of Singh and Singh [10] is generalized to locally convex
spaces and the new result is applied to extend a result on invariant approximation of
Jungck and Sessa [5].
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART001024918
|
oai_dc
|
Conformally Flat Quasi-Einstein Spaces
|
Conformally Flat Quasi-Einstein Spaces
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Uday Chand De(University of Kalyani); Joydeep Sengupta(Raiganj College); Diptiman Saha(St. Xavier's College)"
] |
The object of the present paper is to study a conformally flat quasi-Einstein
space and its hypersurface.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART001099639
|
oai_dc
|
Uniqueness of Meromorphic Functions and a Question of Gross
|
Uniqueness of Meromorphic Functions and a Question of Gross
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Hong-Xun Yi(Shandong University); Wei-Chuan Lin(Fujian Teachers University)"
] |
In this paper, we deal with the uniqueness of meromorphic functions concerning
one question of Gross (see [5, Question 6]), and obtain some results that are
improvements of that of former authors. Moreover, the example shows that the result is
sharp.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART001099585
|
oai_dc
|
Boundedness for Multilinear Littlewood-PaleyOperators on Certain Hardy Spaces
|
Boundedness for Multilinear Littlewood-PaleyOperators on Certain Hardy Spaces
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Lanzhe Liu(Changshs University of Science and Technology)"
] |
In this paper, the Boundedness for the multilinear Littlewood-Paley operator
on certain Hardy and Herz-Hardy spaces are obtained.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART001099635
|
oai_dc
|
A Note on Regular Ternary Semirings
|
A Note on Regular Ternary Semirings
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Tapan Kumar Dutta(University of Calcutta); Sukhendu Kar(University of Calcutta)"
] |
This paper is a sequel of our previous paper [1]. In this paper, we introduce
the notions of regular ideal and partial ideal (p-ideal) in a ternary semiring and using these
two notions we characterize regular ternary semiring.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART001099641
|
oai_dc
|
Finite Type Invariants and Virtual TwistMoves of Virtual Knots
|
Finite Type Invariants and Virtual TwistMoves of Virtual Knots
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Myeong-Ju Jeong(Korea Science Academy)"
] |
Generalizing twist moves of classical knots, we introduce t(a1; ; am)-moves
of virtual knots for an m{tuple (a1; ; am) of nonzero integers. In [4], M. Goussarov, M.
Polyak and O. Viro introduced finite type invariants of virtual knots and Gauss diagram
formulae giving combinatorial presentations of nite type invariants. By using the Gauss
diagram formulae for the nite type invariants of degree 2, we give a necessary condition
for a virtual long knot K to be transformed to a virtual long knot K0 by a nite sequence
of t(a1; ; am)-moves for an m-tuple (a1; ; am) of nonzero integers with the same sign.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART001099278
|
oai_dc
|
Idealizers, Complete Integral Closures and Almost Pseudo-valuation Domains
|
Idealizers, Complete Integral Closures and Almost Pseudo-valuation Domains
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Mitsuo Kanemitsu(Aichi University of Education (Japan)); Ryuki Matsuda(Ibaraki University (Japan)); Nobuharu Onoda(University of Fukui (Japan)); Takasi Sugatani(Toyama University (Japan))"
] |
We determine the complete integral closure R of an almost pseudo-valuation domain R : if R has a prime ideal P of height 1, then R= ( P :P) and R= RP provided that R is of dimension 2, and if otherwise,R= K .
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART001099277
|
oai_dc
|
Regularities of Fractal Measures on R^{2}
|
Regularities of Fractal Measures on R^{2}
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Hun Ki Baek(Kyungpook National University (Korea)); Hung Hwan Lee()"
] |
We get a characterization of strong regularity with d-measure on.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART001099279
|
oai_dc
|
Inequality for Totally Real Warped Products in Locally Conformal Kaehler Space Forms
|
Inequality for Totally Real Warped Products in Locally Conformal Kaehler Space Forms
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"김영호(경북대학교); Dae Won Yoon(Gyeongsang National University (Korea))"
] |
In this article, we establish the inequality between the warping function of a warped product submanifold isometrically immersed in a locally conformal Kaehler space form of constant holomorphic sectional curvature and the squared mean curvature. Fur-thermore, some applications are derived.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART000972180
|
oai_dc
|
Uniqueness of Meromorphic Functions with Deficient Poles
|
Uniqueness of Meromorphic Functions with Deficient Poles
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Indrajit Lahiri(University of Kalyani (India)); Abhijit Banerjee(Kalyani Gevernment Engineering College (India))"
] |
We discuss the uniqueness problem of meromorphic functions having deficient poles and answer a question of H. X. Yi ([9]).
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART000946861
|
oai_dc
|
An Extension Theory Analogue of Menger-Urysohn Addition Theorem for Stratifiable Spaces
|
An Extension Theory Analogue of Menger-Urysohn Addition Theorem for Stratifiable Spaces
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Vera Tonic(University of Zagreb (Croatia))"
] |
The classical Menger-Urysohn addition theorem states that, given two subsets A and B of a metrizable space, we have dim(A [ B) dim A + dim B + 1. Jerzy Dydak’s extension theory analogue was the following: given two subsets A and B of a metrizable space, and two CW-complexes K and L such that AK and BL, we have (A[ B) K L.We generalize this further using stratifiable spaces instead of metrizable ones. The class of stratifiable spaces lies between paracompact and metric spaces.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART000946864
|
oai_dc
|
Normal Interpolation on Ax=y in CSL-Algebra ALG L
|
Normal Interpolation on Ax=y in CSL-Algebra ALG L
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Young Soo Jo(Keimyung University (Korea)); Joo Ho Kang(Daegu University (Korea))"
] |
Given vectors x and y in a Hilbert space, an interpolating operator is a bounded operator T such that Tx = y. An interpolating operator for n vectors satisfies the equation Txi = yi, for i = 1 ;2; ;n. In this paper the following is proved : Let H be a Hilbert space and L be a commutative subspace lattice on H. Let x and y be vectors in H. Let M x =.n.i=1iEix :n 2 N;i 2 . and Ei 2 L.and M y =.n.i=1iEiy :n 2 N;i 2 . and Ei 2 L.: Then the following are equivalent.(1)There exists an operator A in AlgL such that Ax = y,Af = 0 for all f in M x?,AA = AAand AE = EA for all E 2 L.(2)sup.k. ni=1 iEiykk. ni=1 iEiyk:n 2 N;i 2 . and Ei 2 L.< 1 ,M y M x and there is a vector h in M x such that hEy;xi = hEx;hi and hEy;yi = hEh;hi for all E in L.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART000946863
|
oai_dc
|
On the Laplace Transform and the Generalized Weyl Fractional Integral Operator Involving the H-function
|
On the Laplace Transform and the Generalized Weyl Fractional Integral Operator Involving the H-function
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"S. P. Goyal(University of Rajasthan (India)); R. Mukherjee(University of Rajasthan (India)); R. Jain(Malviya National Institute of Technology (India))"
] |
In the present paper, we establish a general theorem exhibiting a relationship existing between the Laplace transform and the generalized Weyl fractional integral operator (FIO) of related functions. This theorem is very general in nature and involves a multidimensional series with essentially arbitrary sequence of complex numbers. By suitably assigning different values to these sequences, one can easily evaluate the generalized Weyl fractional integral operator of special functions of several variables. References of known results which follow as special cases of our theorem are also cited. We have obtained here as applications of the theorem, the generalized Weyl fractional integral of(Srivastava-Daoust) generalized Lauricella function which gives a number of results involving special functions of one or more variables merely by specializing the parameters. The results recently obtained by R. Jain and M. A. Pathan and S. P. Goyal and Ritu Goyal,etc. follow as special cases of our main findings.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART000946862
|
oai_dc
|
On Certain Unified Integrals Involving General Class of Polynomials and the Multivariable H-function
|
On Certain Unified Integrals Involving General Class of Polynomials and the Multivariable H-function
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Mridula Garg(University of Rajasthan (India)); Shweta Mittal(University of Rajasthan (India))"
] |
In the present paper we evaluate two infinite integrals involving the product of two general classes of polynomials and the multivariable H -function with general arguments. These integrals are unified in nature and we can derive from them a large number of integrals involving simpler functions and polynomials as their particular cases. It maybe pointed out here that in the present paper we have also corrected an integral recorded erroneously in the well known book by Gradshteyn I. S. and Ryzhik I. M. [1, p.346, eq.3.257] .
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART000946865
|
oai_dc
|
Periodic Solutions of a Delayed Population Model with One Predator and Two Preys
|
Periodic Solutions of a Delayed Population Model with One Predator and Two Preys
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Rui Xu(Shijiazhuang Mechanical Engineering College (China)); M. A. J. Chaplain(University of Dundee (UK)); F. A. Davidson(University of Dundee (UK))"
] |
A delayed periodic Lotka-Volterra predator-prey model with one predator and two preys is investigated. By using Gaines and Mawhin’s continuation theorem of coincidence degree theory and by constructing appropr iate Lyapunov functionals, a set ofeasily veriable sufficient conditions are derived for the existence, uniqueness and global stability of positive periodic solutions to the model.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART000946866
|
oai_dc
|
Primitive Ideals of Semigroup Graded Rings
|
Primitive Ideals of Semigroup Graded Rings
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Hema Gopalakrishnan(Sacred Heart University (U.S.A.))"
] |
Prime ideals of strong semigroup graded rings have been characterized by Bell, Stalder and Teply for some important classes of semigroups. The prime ideals correspond to certain families of ideals of the component rings called prime families. In this paper,we define the notion of a primitive family and show that primitive ideals of such rings correspond to primitive families of ideals of the component rings.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART000971951
|
oai_dc
|
On Generalized Quasi Einstein Manifolds
|
On Generalized Quasi Einstein Manifolds
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"U. C. De(University of Kalyani (India)); G. C. Ghosh(University of Kalyani (India))"
] |
The object of the present paper is to study a type of Riemannian manifold called generalized quasi Einstein manifold.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART000946867
|
oai_dc
|
An Extension of the Fuglede-Putnam Theorem to (p, k)-quasihyponormal Operators
|
An Extension of the Fuglede-Putnam Theorem to (p, k)-quasihyponormal Operators
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Mi young Lee(Gyeongju University (Korea))"
] |
The equation AX = XB implies AX = XB when A and B are normal(Fuglede-Putnam Theorem). In this paper, the hypothesis on A and B can be relaxed by using a Hilbert-Schmidt operator X : LetA be (p;k)-quasihyponormal and let Bbe invertible (p;k)-quasihyponormal such that AX = XB for a Hilbert-Schmidt operatorX and kjAj1 pk kjB1j1 pk 1. Then AX = XB.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART000946868
|
oai_dc
|
Poisson Brackets on Banach Algebras
|
Poisson Brackets on Banach Algebras
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Chun-Gil Park(Chungnam National University (Korea))"
] |
We prove that every almost Poisson bracket B :A A ! A on a Banach algebra A is a Poisson bracket when B(2x;z) = B(x;2z) = 2 B(x;z),B(3x;z) = B(x;3z) =3B(x;z) orB(qx;z) = B(x;qz) = qB(x;z) for allx;z2 A . Here the numbers 2;3;q dependon the functional equations given in the almost Poisson brackets.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART001099274
|
oai_dc
|
Two Variations of the Choquet Game
|
Two Variations of the Choquet Game
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Jiling Cao(The University of Auckland (New Zealand)); Zbigniew Piotrowski(Youngstown State University (U.S.A.))"
] |
The Banach-Mazur game and the Choquet game are revisited to deduce new characterizations of sieve (almost) complete spaces. Some classical results of Choquet are extended to larger classes of spaces. By using the notion of sieve (almost) completeness, certain types of topological closed graph and open mapping theorems are established.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART001099276
|
oai_dc
|
Error Estimation of Convergence of Distributions of Average of Reciprocals of Sine to the Cauchy Distribution
|
Error Estimation of Convergence of Distributions of Average of Reciprocals of Sine to the Cauchy Distribution
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"K. Neammanee(Chulalongkorn University (Thailand))"
] |
Let X1;X2; be a sequence of independent identically distributed random variables such that sinXn 6= 0 and Fn the distribution function of 1n. nk=11sin X k . Neammanee ([7]) showed that lim n !1 Fn (x) = F(x) where F is the Cauchy distribution. In this paper, we investigate the accuracy of the approximation of F(x) to Fn (x): Under general conditions, we show that sup1 <x< 1 jFn (x) F(x)j is bounded by Cn d for 0< d <19 where C is a constant.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART001099275
|
oai_dc
|
Cauchy Completeness of κ-frames
|
Cauchy Completeness of κ-frames
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"M. M. Ebrahimi(Shahid Beheshti University (Iran)); M. Mahmoudi(Shahid Beheshti University (Iran)); M. Vojdani Tabatabaee(Shahid Beheshti University (Iran))"
] |
Considering general Cauchy filters for κ-frames, we prove some results about completeness, given by Banaschewski, for κ-frames. In particular, we show that a uniform-frame L is complete if and only if every general regular Cauchy filter of L is convergent.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART001099227
|
oai_dc
|
Twist of Knots and the Q-polynomials
|
Twist of Knots and the Q-polynomials
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Younhee Choi(Kyungpook National University (Korea)); Myeong-ju Jeong(Kyungpook National University (Korea)); Chan-young Park(Kyungpook National University (Korea))"
] |
The last two authors ([16]) gave solutions for the problem whether a higher derivative of the Conway, Alexander and Jones polynomial at a point is a Vassiliev invariant or not, by using Birman and Lin’s result ([2]). For the Q-polynomial it is known that the nth derivative Q(n )K (a) of theQ polynomial QK (x) of a knot K at a is not a Vassiliev invariant if a 6= 1 ; 2 ([16], [39]). A sequence fK ig1i=0 of knots is called a twist sequence if they differ in a local part of two strands in whichK i+1 is obtained from K i by adding a full twist for each i. The local transform of two parallel strands with parallel orientation to the k-half twist of the two strands is called the tk-move.In this paper we show that, for any positive integer n,Q(n )K (1) is not a Vassiliev invariant and Q(n )K ( 2) is not a Vassiliev invariant of degree< 2n, by using R. Trapp’sresult ([41]) on twist sequences of knots. Also by using higher derivatives Q(n )K ( 2) of the Q polynomial, we give some criterions to detect whether a knot K can be transformed to a knot K0 by finitely many t2k-moves, and if so, we give some results on the number of t2k-moves necessary in the transformation.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART000946833
|
oai_dc
|
Green's D-relation of Birget-Rhodes Expansions and Partial Group Algebras
|
Green's D-relation of Birget-Rhodes Expansions and Partial Group Algebras
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Keunbae Choi(Jeju National University of Education (Korea))"
] |
In this paper, we refine Theorem 3.2 of [4] using the counting problem of Green D-classes in the Birget-Rhodes expansion of a finite group.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART000973906
|
oai_dc
|
Properties of Regular Set-connected Functions
|
Properties of Regular Set-connected Functions
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Erdal Ekici(Canakkale Onsekiz Mart University (Turkey))"
] |
In 1999, Dontchev, Ganster and Reilly introduced the notion of regular set-connected functions. In this paper, properties of regular set-connected functions are investigated and obtained.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART001099223
|
oai_dc
|
Matrix Transformations on the Bounded Variation Vector-valued Sequence Space
|
Matrix Transformations on the Bounded Variation Vector-valued Sequence Space
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Chanan Sudsukh(Kasetsart University (Thailand)); Pongpan Rattanathanawan(King Mongkut's Institute of Technology (Thailand)); Praiboon Pantaragphong(King Mongkut's Institute of Technology (Thailand)); Suputchara Kongnual(King Mongkut's Institute of Technology (Thailand))"
] |
In this paper, the characterizations of infinite matrices which transform bounded variation vector-valued sequence space into Maddox sequence spaces, where the sequence p = ( pk) are bounded sequences of positive real numbers such that pk 1 for all k 2 N is presented.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART001099226
|
oai_dc
|
On the Stability of the Quadratic Equation in Banach Modules over a Banach Algebra
|
On the Stability of the Quadratic Equation in Banach Modules over a Banach Algebra
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Kil-Woung Jun(Chungnam National University (Korea)); Hark-Mahn Kim(Chungnam National University (Korea))"
] |
We prove the Hyers-Ulam-Rassias stability of quadratic functional equations f(x + y)+ f(x y ) = (1+ 2)(f(x)+ f(y)) and f(x + y)+ f(x y ) = (1+)(f(x)+ f(y)) between Banach modules over a Banach algebra.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART001185137
|
oai_dc
|
A Note on the Extended Sum of Radical Classes of Rings
|
A Note on the Extended Sum of Radical Classes of Rings
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"M. Aslam(Government College University); M. Zulfiqar(Government College University )"
] |
The concept of the sum of radical classes of rings was introduced by Y. L.Lee and R. E. Propes ([6]), and further extended by R. E. Propes and A. M. Zaidi in [7] as the extended sum of the two radical classes. In this paper, we develop a relationship between these sums and show that the two concepts coincide when the sum is a radical class and also generalize several results of [7].
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART000974018
|
oai_dc
|
A Method of Constructing Compatible Frame Quasi-uniformities
|
A Method of Constructing Compatible Frame Quasi-uniformities
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Maria Joao Ferreira(Universidade de Coimbra (Portugal)); Jorge Picado(Universidade de Coimbra (Portugal))"
] |
Unlike a uniformity, a quasi-uniformity is not determined by its quasi-uniform covers. However, a classical construction, due to P. Fletcher, which assigns a transitive quasi-uniformity to each family of interior-preserving open covers, allows to describe all transitive quasi-uniformities on the topological spaces in terms of those families of covers. In this paper we develop a point free generalization of this, which solves a problem posed by G. C. L. Br¨ummer, together with various examples and applications that illustrateits remarkable usefulness. By this construction, many kinds of interior-preserving open covers (e.g. locally finite, point-finite, spectrum, well-monotone) induce compatible quasi-uniformities on an arbitrary frame.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART001099224
|
oai_dc
|
A Certain Class of Multivalent Prestarlike Functions Involving the Srivastava-Saigo-Owa Fractional Integral Operator
|
A Certain Class of Multivalent Prestarlike Functions Involving the Srivastava-Saigo-Owa Fractional Integral Operator
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Gamal M. Shenan(Al-Azhar University-Gaza (Palestine)); Tariq O. Salim(Al-Azhar University-Gaza (Palestine)); Mousa S. Marouf(Al-Azhar University-Gaza (Palestine))"
] |
In the present paper we introduce the class Spn;r (A;B;) consisting of p-valent prestarlike functions with negative coefficients denfined by Salagean operator. Growth and distortion Theorems are proved in terms of Srivastava-Saigo-Owa fractional integral operator. Class preserving integral operator and radius of convexity for functions belonging to this class is also determined.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART000947207
|
oai_dc
|
Caccioppoli Type Inequality for Weak Solutions of A-harmonic Equation and Its Applications
|
Caccioppoli Type Inequality for Weak Solutions of A-harmonic Equation and Its Applications
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Hongya Gao(Hebei University (China)); Yinzhu Chen(Teacher's School of Shijiazhuang (China))"
] |
In this paper, we use a sufficient and necessary condition of weak solutions of A-harmonic equation to obtain the Caccioppoli type inequality and reverse Hőlder inequality. As some applications of the above results, we derive the Lp-integrability, Hőlder continuity and almost everywhere differentiability for weak solutions of A-harmonic equation. The same results were given for the component functions of quasi regular mappings.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART000947206
|
oai_dc
|
Representable Difference Algebras
|
Representable Difference Algebras
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Ivan Chajda(Palacky University Olomouc (Czech Republic)); Petr Emanovsky(Palacky University Olomouc (Czech Republic))"
] |
We introduce the concept of so-called representable difference algebra which is a particular case of difference algebra introduced formerly by J. Meng. Such an algebra can be represented as a suitable meet-semilattice with 0 where every interval [0;x] has antiotne involution. The converse is true under certain conditions investigated in the paper. It is shown that this is e.g. satisfied for semilattices which are direct products of finite chains.
|
수학
| null |
kci_detailed_000042.xml
|
|||
ART001099179
|
oai_dc
|
A Recurrence Relation of Kauffman Bracket Polynomials
|
A Recurrence Relation of Kauffman Bracket Polynomials
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Yong Ju Bae(Kyungpook National University (Korea)); Seogman Seo(Kyungpook National University (Korea))"
] |
We will introduce an iterative family of link diagrams fP]kQn gn 2 . , in which the family of periodic links and Chan’s iterative family of links are included, and show that their Kauffman bracket polynomials fhP]kQn ig satisfy a homogeneous linear recurrence relation which depends only on Q.
|
수학
| null |
kci_detailed_000042.xml
|
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