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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 35, Issue 2 - Dec 1995
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1
Best Approximation by Rational Functions with Fixed Poles in
(0 < p < 1, p + q > 2) Spaces
Yuanze, Jin ; Fuchong, Xing ;
Kyungpook mathematical journal, volume 35, issue 2, 1995, Pages 145~145
Abstract
Let Z =
be a finite or infinite sequence of (possibly repeated) points in the extended complex plane,
> l (k = 1, 2 ,
, n). By R(z) we denote the class of rational functions with poles among the points occuring in Z and of a maximal multi. plicity equal to the number of repetitions. Let
(f, Z) be the best approximation error of the function f(z) by the functions of R(z) class in
(0 < p < 1, p + q >2) spaces. Denoting
, we obtained the following main result in this paper
2
On Composition of Multidimensional Integral Operators Involving General Polynomials and a Multivariable H-Function
Gupta, K.C. ; Jain, Rashmi ; Agrawal, Pawan ;
Kyungpook mathematical journal, volume 35, issue 2, 1995, Pages 151~151
Abstract
In the present paper we obtain three new and interesting composition formulae of a class of multidimensional fractional integral operators involving the product of the generalized polynomials
and the multivariable H-function. On account of the most general nature of the functions used here as kernels, the main results of our paper are unified in nature and capable of yielding a very large number of corresponding results (new and known) involving simpler special functions and polynomials (of one or more variables) as special cases of our formulae. We give here exact references of the five results obtained by
[1], Goyal and Jain [10], Gupta and Jain [9], Goyal et al.[11], Srivastava et al.[5] which follow as special case of our findings. Thus the present study unifies and extends a number of composition formulae lying scattered in the literature.
3
Meromorphic Multivalent Functions with Positive and Fixed Second Coefficients
Joshi, S.B. ; Aouf, M.K. ;
Kyungpook mathematical journal, volume 35, issue 2, 1995, Pages 163~163
Abstract
In this paper we consider the class
(p; A, B) consisting of regular and p-valent functions in the punctured disc D = {z : 0 <
< 1} and with fixed second coefficients. In the present paper we have obtained coefficient inequalities for the class
(p; A, B). Also we have shown that the class
(p; A, B) is closed under arithmetic mean and convex linear combinations. Lastly we have obtained the radius of convexity for the class
(p; A, B). Various results obtained in this paper are shown to be sharp.
4
On p-Adic Differentiable and Bounded Functions
Kim, Han-Soo ; Kim, Tae-Kyun ;
Kyungpook mathematical journal, volume 35, issue 2, 1995, Pages 171~171
Abstract
We give a few relationships between the magnitudes of p-adic differences of any differentiable function f(x) and the p-adic values of its so-called Mahler coefficients
which include answer of Mahler's problem as a special case.
5
On Certain Classes of Analytic Functions Involving Ruscheweyh Derivative
Murugusundaramoorthy, G. ; Subramanian, K.G. ; Balasubrahmanyam, P. ;
Kyungpook mathematical journal, volume 35, issue 2, 1995, Pages 179~179
Abstract
be the class of functions of the form $$f(z)=a_{1}z- {{\sum\limits^{\infty}_{m=2}\frac}a_{m}z{^m}},\;a_{m}\;{\geq}\;0,\;a_{1}>0$$ analytic in the unit disc D, satisfying $${(1 - {\lambda}) {\frac{f(z_{0})}{z_{0}}+{\lambda}f'(z_{0})\;=\;1,\;0\;{\leq}\;{\lambda}\;{\leq}\;1,\;-1\;<\;z_{0}\;<\;1}$$ such that $${\frac{D^{n+1}f(z)}{D{^n}f(z)}\;=\;(1\;-\;{\alpha})\;{ \frac{1+Aw(z)}{1+Bw(z)}+{\alpha}},\;-1\;{\leq}\;A\;<\;B\;{\leq}\;1,\;0\;{\leq}\;{\alpha}\;<\;1}$$ and w is analytic in D with w(0) = 0 and
< 1, where
is the Ruscheweyh derivative of f(z). Properties of functions in
and a related class, such as coefficient estimates, closure theorems, extreme points, radius of convexity and other results are established.
6
On Some Integral Inequalities of Hardy Type
Salem, Sh. ;
Kyungpook mathematical journal, volume 35, issue 2, 1995, Pages 193~193
Abstract
In this paper we establish some new integral inequalities which originate from Hardy's inequality. The analysis used in this paper is based on the idea used by Levinson to obtain the generalizations of Hardy's integral inequality.
7
Some Remarks on The Structure of
-Paranormal Operators
Lee, Mi-Young ; Lee, Sang-Hun ; Ryoo, Cheon-Seoung ;
Kyungpook mathematical journal, volume 35, issue 2, 1995, Pages 205~205
Abstract
In this paper we consider the class of
-paranormal and study some properties for this class and obtain some sufficient conditions for other operators. The results are generalized to the class of k-hyponormal.
8
Matrix Operator Algebras with Properties
Choi, Kun-Wook ; Jung, Il-Bong ; Kim, Bok-Ja ;
Kyungpook mathematical journal, volume 35, issue 2, 1995, Pages 213~213
Abstract
We discuss a relationship between the matrix algebras
and properties
and apply to a direct sum of dual algebras.
9
A Note on Multiplication Modules and Their Rings of Endomorphisms
Naoum, Adil G. ; Al-Aubaidy, Wassan K.H. ;
Kyungpook mathematical journal, volume 35, issue 2, 1995, Pages 223~223
Abstract
Let R be a commutative ring with 1, and let M be a (left) unitary R-module, let S = End(M) be the ring of R-endomorphisms of M. In this paper we look at some ring theoretic and module theoretic properties and try to see how do they transfer between R, S and M. Recall that an R-module M is said to be a multiplication R-module if each sub-module N of M has the form IM for some ideal I of R, [2]. In
of this note we look at each of the Noetherian and Artinian properties and in
, we look at the regularity of R, and try to see how do they transfer to S.
10
Partial Rings and Rartial Fields
Abd-Allah, A.M. ; Omar, R.A-K. ;
Kyungpook mathematical journal, volume 35, issue 2, 1995, Pages 229~229
Abstract
The notions of partial groups and partial monoids and their basic properties have given in [1, 3]. These two notions are used in this paper to define that of partial rings with identities and partial fields. It has been proved that a partial ring with identities (partial field) is a strong semilattice of rings with identities (fields). The structure theorem, basic properties and some examples have been given.
11
A Note on Prime and Semiprime Bi-Ideals
Roux, H J le ;
Kyungpook mathematical journal, volume 35, issue 2, 1995, Pages 243~243
Abstract
The purpose of this note is to extend the results of prime and semiprime bi-ideals of associative rings with unity to associative rings without unity. Furthermore, we show that the radical class of Baer is the intersection of all the semiprime bi-ideals of a ring.
12
Von Neumannian Regularity in Semirings
Sen, M.K. ; Mukhopadhyay, P. ;
Kyungpook mathematical journal, volume 35, issue 2, 1995, Pages 249~249
Abstract
A semi ring R is said to be regular in the sense of VON NEUMANN if for every element
there exist some
such that a + axa = aya. The main purpose of this paper is to show that the semiring
of a1l
metrices over a multiplicatively commutative semiring R in which for each
,
, there exist
such that
is a regular semiring. Another aim of this paper is to characterize the regularity condition by k-ideals.
13
Fuzzy
Jun, Young-Bae ; Kwon, Young-In ; Park, June-Won ;
Kyungpook mathematical journal, volume 35, issue 2, 1995, Pages 259~259
Abstract
The aim of this paper is to apply the concept of fuzzy sets to the theory of
which is introduced in [2].
14
Dimensions of Certain Holomorphic Siegel Modular Forms of Weight 3/2
Park, Young-Ho ;
Kyungpook mathematical journal, volume 35, issue 2, 1995, Pages 267~267
Abstract
In his article [5], the author has constructed certain holomorphic Siegel modular forms of weight
for each prime $p{\equiv}3(4)$
15
On D-K-Mackey Locally K-Convex Spaces
Cueva, Miguel Caldas ;
Kyungpook mathematical journal, volume 35, issue 2, 1995, Pages 277~277
Abstract
The d-k-Mackey locally k-convex spaces are introduced and a description of their topologies is obtained.
16
Existence of Maximizable H-Quasiconcave Functions on H-Spaces
Kim, Hoon-Joo ;
Kyungpook mathematical journal, volume 35, issue 2, 1995, Pages 285~285
Abstract
We show an existence theorem for an upper semicontinuous quasiconcave real function which attains a maximum on H-spaces. And we apply it to the Fan type nonseperation theorems, fixed point theorems, and systems of convex inequalities on H-spaces.
17
Bitopological Nowhere Locally Compact Spaces
Sen, Asit Kumar ; Bhattacharyya, P. ;
Kyungpook mathematical journal, volume 35, issue 2, 1995, Pages 297~297
Abstract
The concept of spaces nowhere locally compact introduced by N. Levine (1982) has been generalised to bitopological spaces. The conditions under which the various properties enjoyed by the above concept in a single topological space can be extended to a bitopological space are studied.
18
Almost S-C ontinuous Functions
Noiri, Takashi ; Ahmad, Bashir ; Khan, Moizuddin ;
Kyungpook mathematical journal, volume 35, issue 2, 1995, Pages 311~311
Abstract
In this paper we introduce and investigate the notion of almost s-continuous functions. It will turn out that each of almost s-continuity, irresoluteness, and continuity is independent of one another.
19
Protopological Groups
Covington, Judith L. ;
Kyungpook mathematical journal, volume 35, issue 2, 1995, Pages 323~323
Abstract
A protopological group is a group G with a topology t with the property that there exists a collection N of normal subgroups such that (1) for every neighborhood U of the identity there exists
such that
and (2) G/N with the quotient topology is a topological group for every
. We say that N converges to the identity and call N a normal system. This paper looks at examples and basic properties of protopological groups. Most interesting is that a protopological group with continuous multiplication is a topological group.
20
A Common Fixed Point Theorem of
Type for Two Pairs of Compatible Mappings
Pathak, H.K. ; Khan, M.S. ;
Kyungpook mathematical journal, volume 35, issue 2, 1995, Pages 329~329
Abstract
In this note, we present a common fixed point theorem of
type for two pairs of compatible mappings by using a single hypothesis on the existence of 'non-Archimedian trisection-points'. In the sequel, our result improve the results of Davies and Sessa, Davies, Jungck and many others.
21
On the Boundedness of Certain Sets of Algebraic Vector Bundles
Ballico, E. ;
Kyungpook mathematical journal, volume 35, issue 2, 1995, Pages 339~339
Abstract
Here we give several criteria for the boundedness of suitable sets of pairs (X, E) with X projective variety and E vector bundle on X. For instance we prove the following result. Theorem assume characteristic 0. Fix integers n, t with
. Set U(n, 2, t) := {(X, E) : X is an n-dimensional smooth projective variety, E is a rank 2 ample vector bundle on X with L := det(E) spanned and
. Then U(n,2;t) is bounded.
22
Weak Compatible Mappings of Type (A) and Common Fixed Points
Pathak, H.K. ; Kang, Shin-Min ; Baek, Jong-Hwa ;
Kyungpook mathematical journal, volume 35, issue 2, 1995, Pages 345~345
Abstract
In this paper, first, we introduce the concept of weak compatible mappings of type (A) and compare these mappings with compatible mappings and compatible mappings of type (A) in 2-metric spaces. In the sequel, we derive some relations between these mappings. Secondly, we prove a coincidence point theorem and a fixed point theorem for weak compatible mappings of type (A) in 2-metric spaces.
23
Decomposability of Evaluation Fibrations
Yoon, Yeon-Soo ;
Kyungpook mathematical journal, volume 35, issue 2, 1995, Pages 361~361
Abstract
It is shown that the evaluation fibration p :
is decomposable when X is a T-space. It is also obtain necessary and sufficient conditions for the evaluation fibration p :
is trivial, in the sense of fibre homotopy type.
24
Complete Hypersurfaces in Sphere
Beltagy, M. ;
Kyungpook mathematical journal, volume 35, issue 2, 1995, Pages 371~371
Abstract
In this paper we show that in a unit (n + 1)-sphere a complete hypersurface of Ricci curvature less than (n - 1) and sectional curvatures bounded from below must be relatively unbounded.
25
Quadric Hypersurfaces with Finite Type Gauss Maps
Kim, Dong-Soo ; Kim, Seon-Bu ;
Kyungpook mathematical journal, volume 35, issue 2, 1995, Pages 377~377
Abstract
We classify the quadric hypersurfaces and hypercones shaped on spherical submanifolds with finite type Gauss maps.
26
Submanifolds of Euclidean Space with Non-Negative Ricci Curvature
Ahn, Seong-Soo ; Kim, Dong-Soo ; Kim, Young-Ho ;
Kyungpook mathematical journal, volume 35, issue 2, 1995, Pages 387~387
Abstract
We study the length of second fundamental form of submanifolds with nonnegative Ricci curvature in a Euclidean space and prove that submanifolds are totally geodesic if a function on the unit tangent bundle satisfies a certain inequality concerning with the mean curvature vector.