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Kyungpook mathematical journal
Journal Basic Information
pISSN :
1225-6951
eISSN :
0454-8124
Journal DOI :
10.5666/KMJ
Frequency :
Others
Publisher:
Department of Mathematics, Kyungpook National University
Editor in Chief :
Sang-Dong Kim
Volume & Issues
Volume 49, Issue 4 - Dec 2009
Volume 49, Issue 3 - Sep 2009
Volume 49, Issue 2 - Jun 2009
Volume 49, Issue 1 - Mar 2009
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1
Two-Weighted Intergal Inequalities for Differential Forms
Xiuyin, Shang ; Zhihua, Gu ; Zengbo, Zhang ;
Kyungpook mathematical journal, volume 49, issue 3, 2009, Pages 403~410
DOI : 10.5666/KMJ.2009.49.3.403
Abstract
In this paper, we make use of the weight to obtain some two-weight integral inequalities which are generalizations of the Poincar
inequality. These inequalities are extensions of classical results and can be used to study the integrability of differential forms and to estimate the integrals of differential forms. Finally, we give some applications of this results to quasiregular mappings.
2
Weak Strictly Persistence Homeomorphisms and Weak Inverse Shadowing Property and Genericity
Honary, Bahman ; Bahabadi, Alireza Zamani ;
Kyungpook mathematical journal, volume 49, issue 3, 2009, Pages 411~418
DOI : 10.5666/KMJ.2009.49.3.411
Abstract
In this paper we introduce the notions of strict persistence and weakly strict persistence which are stronger than those of persistence and weak persistence, respectively, and study their relations with shadowing property. In particular, we show that the weakly strict persistence and the weak inverse shadowing property are locally generic in Z(M).
3
On the Mordell-Weil Groups of Jacobians of Hyperelliptic Curves over Certain Elementary Abelian 2-extensions
Moon, Hyun-Suk ;
Kyungpook mathematical journal, volume 49, issue 3, 2009, Pages 419~424
DOI : 10.5666/KMJ.2009.49.3.419
Abstract
Let J be the Jacobian variety of a hyperelliptic curve over
. Let M be the field generated by all square roots of rational integers over a finite number field K. Then we prove that the Mordell-Weil group J(M) is the direct sum of a finite torsion group and a free
-module of infinite rank. In particular, J(M) is not a divisible group. On the other hand, if
is an extension of M which contains all the torsion points of J over
, then
is a divisible group of infinite rank, where
is the maximal solvable extension of
.
4
On Compact-covering Images of Locally Separable Metric Spaces
Van Dung, Nguyen ;
Kyungpook mathematical journal, volume 49, issue 3, 2009, Pages 425~433
DOI : 10.5666/KMJ.2009.49.3.425
Abstract
In this paper, we give the internal characterizations of compact-covering s-(resp.,
-)images of locally separable metric spaces. As applications of these results, we obtain characterizations of compact-covering quotient s-(resp.,
-)images of locally separable metric spaces.
5
General Formulas for Explicit Evaluations of Ramanujan`s Cubic Continued Fraction
Naika, Megadahalli Sidda Naika Mahadeva ; Maheshkumar, Mugur Chinna Swamy ; Bairy, Kurady Sushan ;
Kyungpook mathematical journal, volume 49, issue 3, 2009, Pages 435~450
DOI : 10.5666/KMJ.2009.49.3.435
Abstract
On page 366 of his lost notebook [15], Ramanujan recorded a cubic continued fraction and several theorems analogous to Rogers-Ramanujan`s continued fractions. In this paper, we derive several general formulas for explicit evaluations of Ramanujan`s cubic continued fraction, several reciprocity theorems, two formulas connecting V (q) and V (
) and also establish some explicit evaluations using the values of remarkable product of theta-function.
6
Some Results of QF Rings
Jun, Dong ;
Kyungpook mathematical journal, volume 49, issue 3, 2009, Pages 451~456
DOI : 10.5666/KMJ.2009.49.3.451
Abstract
Let R be a ring. We give some new characterizations of QF under the special annihilators condition. Some known results are obtained as corollaries.
7
E-Inversive Γ-Semigroups
Sen, Mridul Kanti ; Chattopadhyay, Sumanta ;
Kyungpook mathematical journal, volume 49, issue 3, 2009, Pages 457~471
DOI : 10.5666/KMJ.2009.49.3.457
Abstract
Let S
8
Entire Functions and Their Derivatives Share Two Finite Sets
Meng, Chao ; Hu, Pei-Chu ;
Kyungpook mathematical journal, volume 49, issue 3, 2009, Pages 473~481
DOI : 10.5666/KMJ.2009.49.3.473
Abstract
In this paper, we study the uniqueness of entire functions and prove the following theorem. Let n(
5), k be positive integers, and let
9
On Sums of Products of Horadam Numbers
Cerin, Zvonko ;
Kyungpook mathematical journal, volume 49, issue 3, 2009, Pages 483~492
DOI : 10.5666/KMJ.2009.49.3.483
Abstract
In this paper we give formulae for sums of products of two Horadam type generalized Fibonacci numbers with the same recurrence equation and with possibly different initial conditions. Analogous improved alternating sums are also studied as well as various derived sums when terms are multiplied either by binomial coefficients or by members of the sequence of natural numbers. These formulae are related to the recent work of Belbachir and Bencherif,
erin and
erin and Gianella.
10
A New Dual Hardy-Hilbert`s Inequality with some Parameters and its Reverse
Zhong, Wuyi ;
Kyungpook mathematical journal, volume 49, issue 3, 2009, Pages 493~506
DOI : 10.5666/KMJ.2009.49.3.493
Abstract
By using the improved Euler-Maclaurin summation formula and estimating the weight coefficients in this paper, a new dual Hardy-Hilbert`s inequality and its reverse form are obtained, which are all with two pairs of conjugate exponents (p, q); (r, s) and a independent parameter
. In addition, some equivalent forms of the inequalities are considered. We also prove that the constant factors in the new inequalities are all the best possible. As a particular case of our results, we obtain the reverse form of a famous Hardy-Hilbert`s inequality.
11
On Conformally at Almost Pseudo Ricci Symmetric Mani-folds
De, Uday Chand ; Gazi, Abul Kalam ;
Kyungpook mathematical journal, volume 49, issue 3, 2009, Pages 507~520
DOI : 10.5666/KMJ.2009.49.3.507
Abstract
The object of the present paper is to study conformally at almost pseudo Ricci symmetric manifolds. The existence of a conformally at almost pseudo Ricci symmetric manifold with non-zero and non-constant scalar curvature is shown by a non-trivial example. We also show the existence of an n-dimensional non-conformally at almost pseudo Ricci symmetric manifold with vanishing scalar curvature.
12
On Hilbert-type Integral Inequalities with the Homogenous Kernel of -4-degree
Huang, Qiliang ; He, Bing ;
Kyungpook mathematical journal, volume 49, issue 3, 2009, Pages 521~532
DOI : 10.5666/KMJ.2009.49.3.521
Abstract
In this paper, by introducing a homogenous kernel of -4-degree, we establish a new Hilbert-type integral inequality with multi-parameter and a best constant factor. As applications, the equivalent form, the reverse forms and some particular results are given correspondingly.
13
Hypersurfaces of an almost r-paracontact Riemannian Manifold Endowed with a Quarter Symmetric Non-metric Connection
Ahmad, Mobin ; Haseeb, Abdul ; Ozgur, Cihan ;
Kyungpook mathematical journal, volume 49, issue 3, 2009, Pages 533~543
DOI : 10.5666/KMJ.2009.49.3.533
Abstract
We define a quarter symmetric non-metric connection in an almost r-paracontact Riemannian manifold and we consider invariant, non-invariant and anti-invariant hypersurfaces of an almost r-paracontact Riemannian manifold endowed with a quarter symmetric non-metric connection.
14
Multivalent Harmonic Uniformly Starlike Functions
Ahuja, Om ; Joshi, Santosh ; Sangle, Naveneet ;
Kyungpook mathematical journal, volume 49, issue 3, 2009, Pages 545~555
DOI : 10.5666/KMJ.2009.49.3.545
Abstract
In this paper, we investigate a generalized family of complex-valued harmonic functions that are multivalent, sense-preserving, and are associated with k-uniformly harmonic functions in the unit disk. The results obtained here include a number of known and new results as their special cases.
15
On Generalizations of Extending Modules
Karabacak, Fatih ;
Kyungpook mathematical journal, volume 49, issue 3, 2009, Pages 557~562
DOI : 10.5666/KMJ.2009.49.3.557
Abstract
A module M is said to be SIP-extending if the intersection of every pair of direct summands is essential in a direct summand of M. SIP-extending modules are a proper generalization of both SIP-modules and extending modules. Every direct summand of an SIP-module is an SIP-module just as a direct summand of an extending module is extending. While it is known that a direct sum of SIP-extending modules is not necessarily SIP-extending, the question about direct summands of an SIP-extending module to be SIP-extending remains open. In this study, we show that a direct summand of an SIP-extending module inherits this property under some conditions. Some related results are included about
and SIP-modules.
16
On a Relation to Hilbert`s Integral Inequality and a Hilbert-Type Inequality
Yang, Bicheng ;
Kyungpook mathematical journal, volume 49, issue 3, 2009, Pages 563~572
DOI : 10.5666/KMJ.2009.49.3.563
Abstract
In this paper, by introducing some parameters and using the way of weight function, a new integral inequality with a best constant factor is given, which is a relation between Hilbert`s integral inequality and a Hilbert-type inequality. As applications, the equivalent form, the reverse forms and some particular inequalities are considered.
17
On the Envelopes of Homotopies
Choyy, Jae-Yoo ; Chu, Hahng-Yun ;
Kyungpook mathematical journal, volume 49, issue 3, 2009, Pages 573~582
DOI : 10.5666/KMJ.2009.49.3.573
Abstract
This paper is indented to explain a dynamics on homotopies on the compact metric space, by the envelopes of homotopies. It generalizes the notion of not only the envelopes of maps in discrete geometry ([3]), but the envelopes of flows in continuous geometry ([5]). Certain distinctions among the homotopy geometry, the ow geometry and the discrete geometry will be illustrated. In particular, it is shown that any
-limit set, as well as any attractor, for an envelope of homotopies is an empty set (provided the homotopies that we treat are not trivial), whereas it is nonempty in general in discrete case.
18
Sharp-unknotting Number of a Torus Knot
Kanenobu, Taizo ;
Kyungpook mathematical journal, volume 49, issue 3, 2009, Pages 583~594
DOI : 10.5666/KMJ.2009.49.3.583
Abstract
We give an estimation for the sharp-unknotting number of certain types of torus knots, and decide it for 39 torus knots.