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East Asian mathematical journal
Journal Basic Information
pISSN :
1226-6973
eISSN :
2287-2833
Journal DOI :
10.7858/eamj
Frequency :
Others
Publisher:
Youngnam Mathematical Society
Editor in Chief :
Jong-Kyu Kim
Volume & Issues
Volume 17, Issue 2 - Dec 2001
Volume 17, Issue 1 - Jun 2001
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1
SOME MAJORIZATION PROBLEMS ASSOCIATED WITH p-VALENTLY STARLIKE AND CONVEX FUNCTIONS OF COMPLEX ORDER
Altintas, Osman ; Srivastava, H.M. ;
East Asian mathematical journal , volume 17, issue 2, 2001, Pages 175~183
Abstract
The main object of this paper is to investigate several majorization problems involving two subclasses
and
of p-valently starlike and p-valently convex functions of complex order
in the open unit disk
. Relevant connections of the results presented here with those given by earlier workers on the subject are also indicated.
2
ON
-URYSOHN EXPANSIONS
Hong, Woo-Chorl ;
East Asian mathematical journal , volume 17, issue 2, 2001, Pages 185~189
Abstract
In this paper we study on
-Urysohn expansions of topological spaces, countable
-Urysohn spaces and Hausdorff
-Urysohn spaces.
3
NOTE ON VARIOUS METRIC SPACES
Kim, Moon-Jeong ;
East Asian mathematical journal , volume 17, issue 2, 2001, Pages 191~195
Abstract
The purpose of this note is to introduce various metrics and to prove the properties of given metric spaces.
4
NEW BOUNDS FOR A PERTURBED GENERALIZED TAYLOR'S FORMULA
Cerone, P. ; Dragomir, S.S. ;
East Asian mathematical journal , volume 17, issue 2, 2001, Pages 197~215
Abstract
A generalised Taylor series with integral remainder involving a convex combination of the end points of the interval under consideration is investigated. Perturbed generalised Taylor series are bounded in terms of Lebesgue p-norms on
for
with
.
5
MODIFICATIONS OF PRODUCT CONVERGENCE STRUCTURES
Park, Sang-Ho ;
East Asian mathematical journal , volume 17, issue 2, 2001, Pages 217~224
Abstract
In this paper, we introduce the notion of some modification of given convergence structure and product convergence. Also, we find some properties which hold between the modification associated with a product of convergence structures and the product of modifications associated with the factor convergence structures.
6
SOME RESULTS ON GENERALIZED LIE IDEALS WITH DERIVATION
Aydin, Neset ; Kaya, Kazim ; Golbasi, Oznur ;
East Asian mathematical journal , volume 17, issue 2, 2001, Pages 225~232
Abstract
Let R be a prime ring with characteristic not two. U a (
)-left Lie ideal of R and d : R
R a non-zero derivation. The purpose of this paper is to invesitigate identities satisfied on prime rings. We prove the following results: (1) [d(R),a]=0
d([R,a])=0. (2) if
=0 then
. (3) if
then
. (4) if
then
, for all
. (5) if
then
.
7
SOME SUMMATION FORMULAS FOR THE APPELL'S FUNCTION
Choi, June-Sang ; Harsh, Harshvardhan ; Rathie, Arjun K. ;
East Asian mathematical journal , volume 17, issue 2, 2001, Pages 233~237
Abstract
The authors aim at presenting summation formulas of Appell's function
:
, which, for i=0, yields a known result due to Srivastava.
8
ON THE REALIZATION OF THE DOUBLE LINK AS A BRANCHED SET
Kim, Yang-Kok ;
East Asian mathematical journal , volume 17, issue 2, 2001, Pages 239~251
Abstract
We construct a family of 3-manifolds by pairwise identifications of faces in the boundary of certain polyhedral3-balls and prove that all these manifolds are cyclic branched coverings of the 3-sphere over the double link.
9
ON INTEGRAL REPRESENTATION WITH RESPECT TO VECTOR-VALUED FINITELY ADDITIVE MEASURES
Kim, Dong-Hwa ; Lee, Young-Hee ;
East Asian mathematical journal , volume 17, issue 2, 2001, Pages 253~264
Abstract
10
ITERATIVE SOLUTIONS TO NONLINEAR EQUATIONS OF THE ACCRETIVE TYPE IN BANACH SPACES
Liu, Zeqing ; Zhang, Lili ; Kang, Shin-Min ;
East Asian mathematical journal , volume 17, issue 2, 2001, Pages 265~273
Abstract
In this paper, we prove that under certain conditions the Ishikawa iterative method with errors converges strongly to the unique solution of the nonlinear strongly accretive operator equation Tx=f. Related results deal with the solution of the equation x+Tx=f. Our results extend and improve the corresponding results of Liu, Childume, Childume-Osilike, Tan-Xu, Deng, Deng-Ding and others.
11
SOME REMARKS ON SKEW POLYNOMIAL RINGS OVER REDUCED RINGS
Kim, Hong-Kee ;
East Asian mathematical journal , volume 17, issue 2, 2001, Pages 275~286
Abstract
In this paper, a skew polynomial ring
of a ring R with a monomorphism
are investigated as follows: For a reduced ring R, assume that
for any minimal prime ideal P in R. Then (i)
is a reduced ring, (ii) a ring R is Baer(resp. quasi-Baer, p.q.-Baer, a p.p.-ring) if and only if the skew polynomial ring
is Baer(resp. quasi-Baer, p.q.-Baer, a p.p.-ring).
12
A NOTE ON D.G. NEAR-RING GROUPS
Cho, Yong-Uk ;
East Asian mathematical journal , volume 17, issue 2, 2001, Pages 287~295
Abstract
13
CORRECTION TO EXISTENCE OF SOLUTION FOR GENERALIZED MULTIVALUED VECTOR VARIATIONAL INEQUALITIES WITHOUT CONVEXITY
Kang, Mee-Kwang ;
East Asian mathematical journal , volume 17, issue 2, 2001, Pages 297~301
Abstract
14
MONOTONICITY OF EUCLIDEAN CURVATURE UNDER LOCALLY UNIVALENT FUNCTIONS
Song, Tai-Sung ;
East Asian mathematical journal , volume 17, issue 2, 2001, Pages 303~308
Abstract
Let K(
) denote the euclidean curvature of the curve
at the point z. Flinn and Osgood proved that if f is a univalent mapping of the open unit disk D={z:|z|<1} into itself with f(0)=0 and |f'(0)|<1, then
for any
curve
on D through the origin with
. In this paper we establish a generalization of the Flinn-Osgood Monotonicity Theorem.
15
CERTAIN CLASSES OF SERIES IDENTITIES INVOLVING BINOMIAL COEFFICIENTS
Cho, Young-Joon ; Lee, Keum-Sik ;
East Asian mathematical journal , volume 17, issue 2, 2001, Pages 309~318
Abstract
16
SOME GEOMETRIC PROPERTIES AND EXHAUSTION OF JOHN DISK
Kim, Ki-Won ;
East Asian mathematical journal , volume 17, issue 2, 2001, Pages 319~323
Abstract
17
ON A HYPERSURFACE OF THE FIRST APPROXIMATE MATSUMOTO SPACE
Lee, Il-Yong ; Jun, Dong-Gum ;
East Asian mathematical journal , volume 17, issue 2, 2001, Pages 325~337
Abstract
We consider the special hypersurface of the first approximate Matsumoto metric with
being the gradient of a scalar function b(x). In this paper, we consider the hypersurface of the first approximate Matsumoto space with the same equation b(x)=constant. We are devoted to finding the condition for this hypersurface to be a hyperplane of the first or second kind. We show that this hypersurface is not a hyper-plane of third kind.
18
PROPERTIES OF THE FIRST ALGEBRAIC LOCAL COHOMOLOGY GROUP AND
BASIS
Kang, C.J. ; Kim, J.A. ; Moon, H.Y. ; Shon, K.H. ;
East Asian mathematical journal , volume 17, issue 2, 2001, Pages 339~348
Abstract
19
ITERATION PROCESSES WITH ERRORS FOR NONLINEAR EQUATIONS INVOLVING
-STRONGLY ACCRETIVE OPERATORS IN BANACH SPACES
Jung, Jong-Soo ;
East Asian mathematical journal , volume 17, issue 2, 2001, Pages 349~365
Abstract
Let X be a real Banach space and
be an
-strongly accretive operator. It is proved that if the duality mapping J of X satisfies Condition (I) with additional conditions, then the Ishikawa and Mann iteration processes with errors converge strongly to the unique solution of operator equation
. In addition, the convergence of the Ishikawa and Mann iteration processes with errors for
-strongly pseudo-contractive operators is given.
20
INJECTIVE PROPERTY OF LAURENT POWER SERIES MODULE
Park, Sang-Won ;
East Asian mathematical journal , volume 17, issue 2, 2001, Pages 367~374
Abstract
Northcott and McKerrow proved that if R is a left noetherian ring and E is an injective left R-module, then
is an injective left R[x]-module. Park generalized Northcott and McKerrow's result so that if R is a left noetherian ring and E is an injective left R-module, then
is an injective left
-module, where S is a submonoid of
(
is the set of all natural numbers). In this paper we extend the injective property to the Laurent power series module so that if R is a ring and E is an injective left R-module, then
is an injective left
-module.
21
DUALITY IN THE OPTIMAL CONTROL PROBLEMS FOR HYPERBOLIC SYSTEMS
Kim, Hyun-Min ; Park, Jong-Yeoul ; Park, Sun-Hye ;
East Asian mathematical journal , volume 17, issue 2, 2001, Pages 375~383
Abstract
In this paper we deal with the duality theory of optimality for an optimal control problem governed by a class of second order evolution equations. First we establish the dual control systems by using conjugate functions and then associate them to the original optimization problem.