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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 50, Issue 4 - Dec 2010
Volume 50, Issue 3 - Sep 2010
Volume 50, Issue 2 - Jun 2010
Volume 50, Issue 1 - Mar 2010
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1
On a Structure De ned by a Tensor Field F of Type (1, 1) Satisfying
[F
^{2}
+a(j)F+λ
^{2}
(j)I]=0
Das, Lovejoy ; Nivas, Ram ; Singh, Abhishek ;
Kyungpook mathematical journal, volume 50, issue 4, 2010, Pages 455~463
DOI : 10.5666/KMJ.2010.50.4.455
Abstract
The differentiable manifold with f - structure were studied by many authors, for example: K. Yano [7], Ishihara [8], Das [4] among others but thus far we do not know the geometry of manifolds which are endowed with special polynomial
-structure satisfying
However, special quadratic structure manifold have been defined and studied by Sinha and Sharma [8]. The purpose of this paper is to study the geometry of differentiable manifolds equipped with such structures and define special polynomial structures for all values of j = 1, 2,
,
, and obtain integrability conditions of the distributions
and
.
2
Extreme Preservers of Zero-term Rank Sum over Fuzzy Matrices
Song, Seok-Zun ; Na, Yeon-Jung ;
Kyungpook mathematical journal, volume 50, issue 4, 2010, Pages 465~472
DOI : 10.5666/KMJ.2010.50.4.465
Abstract
In this paper, we consider two extreme sets of zero-term rank sum of fuzzy matrix pairs:
. We characterize the linear operators that preserve these two extreme sets of zero-term rank sum of fuzzy matrix pairs.
3
On a q-Extension of the Leibniz Rule via Weyl Type of q-Derivative Operator
Purohit, Sunil Dutt ;
Kyungpook mathematical journal, volume 50, issue 4, 2010, Pages 473~482
DOI : 10.5666/KMJ.2010.50.4.473
Abstract
In the present paper we define a q-extension of the Leibniz rule for q-derivatives via Weyl type q-derivative operator. Expansions and summation formulae for the generalized basic hypergeometric functions of one and more variables are deduced as the applications of the main result.
4
Dynamics of Recursive Sequence of Order Two
Elsayed, Elsayed Mohammed ;
Kyungpook mathematical journal, volume 50, issue 4, 2010, Pages 483~497
DOI : 10.5666/KMJ.2010.50.4.483
Abstract
In this paper we study some qualitative behavior of the solutions of the difference equation
, n=0,1,
, where the initial conditions x-1, x0 are arbitrary real numbers and a, b, c, d are positive constants with
.
5
Univalent Holomorphic Functions with Negative and Fixed Finitely Many Coefficients in terms of Generalized Fractional Derivative
Ebadian, Ali ; Aghalary, Rasoul ; Najafzadeh, Shahram ;
Kyungpook mathematical journal, volume 50, issue 4, 2010, Pages 499~507
DOI : 10.5666/KMJ.2010.50.4.499
Abstract
A new class of univalent holomorphic functions with fixed finitely many coefficients based on Generalized fractional derivative are introduced. Also some important properties of this class such as coefficient bounds, convex combination, extreme points, Radii of starlikeness and convexity are investigated.
6
On Curvature-Adapted and Proper Complex Equifocal Sub-manifolds
Koike, Naoyuki ;
Kyungpook mathematical journal, volume 50, issue 4, 2010, Pages 509~536
DOI : 10.5666/KMJ.2010.50.4.509
Abstract
In this paper, we investigate curvature-adapted and proper complex equifocal submanifolds in a symmetric space of non-compact type. The class of these submanifolds contains principal orbits of Hermann type actions as homogeneous examples and is included by that of curvature-adapted and isoparametric submanifolds with flat section. First we introduce the notion of a focal point of non-Euclidean type on the ideal boundary for a submanifold in a Hadamard manifold and give the equivalent condition for a curvature-adapted and complex equifocal submanifold to be proper complex equifocal in terms of this notion. Next we show that the complex Coxeter group associated with a curvature-adapted and proper complex equifocal submanifold is the same type group as one associated with a principal orbit of a Hermann type action and evaluate from above the number of distinct principal curvatures of the submanifold.
7
On a Question of Closed Maps of S. Lin
Chen, Huaipeng ;
Kyungpook mathematical journal, volume 50, issue 4, 2010, Pages 537~543
DOI : 10.5666/KMJ.2010.50.4.537
Abstract
Let X be a regular
-space such that each single point set is a
set. Denot 'hereditarily closure-preserving' by 'HCP'. To consider a question of closed maps of S. Lin in [6], we improve some results of Foged in [1], and prove the following propositions. Proposition 1.
is discrete and closed if
is a collection of HCP. Proposition 2.
is an fininte subcolletion of
is HCP if
is a collection of HCP. Proposition 3. Let (X,
) have a
-HCP k-network. Then (X,
) has a
-HCP k-network F =
such that such tat: (i)
, (ii)
is a discrete closed set and (iii) each
is closed to finite intersections.
8
On Approximation of Functions Belonging to Lip(α, r) Class and to Weighted W(L
_{r}
,ξ(t)) Class by Product Mean
Nigam, Hare Krishna ; Sharm, Ajay ;
Kyungpook mathematical journal, volume 50, issue 4, 2010, Pages 545~556
DOI : 10.5666/KMJ.2010.50.4.545
Abstract
A good amount of work has been done on degree of approximation of functions belonging to Lip
, Lip(
(t),r) and W(
) and classes using Ces
ro, N
rlund and generalised N
rlund single summability methods by a number of researchers ([1], [10], [8], [6], [7], [2], [3], [4], [9]). But till now, nothing seems to have been done so far to obtain the degree of approximation of functions using (N,
)(C, 1) product summability method. Therefore the purpose of present paper is to establish two quite new theorems on degree of approximation of function
class and
class by (N,
)(C, 1) product summability means of its Fourier series.
9
A Fixed Point Approach to the Stability of a Functional Equation
Park, Won-Gil ; Bae, Jae-Hyeong ;
Kyungpook mathematical journal, volume 50, issue 4, 2010, Pages 557~564
DOI : 10.5666/KMJ.2010.50.4.557
Abstract
By using an idea of C
dariu and Radu [4], we prove the generalized Hyers-Ulam stability of the functional equation f(x + y,z - w) + f(x - y,z + w) = 2f(x, z) + 2f(y, w). The quadratic form
given by f(x, y) =
is a solution of the above functional equation.
10
Lacunary Statically Convergent and Lacunary Strongly Convergent Generalized Difference Sequences of Fuzzy Real Numbers
Tripathy, Binod Chandra ; Baruah, Achyutanada ;
Kyungpook mathematical journal, volume 50, issue 4, 2010, Pages 565~574
DOI : 10.5666/KMJ.2010.50.4.565
Abstract
In this paper we introduce the concept of lacunary statistical and lacunary strongly convergence of generalized difference sequence of fuzzy real numbers. We prove some inclusion relations and also study some of their properties.