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Bulletin of the Korean Mathematical Society
Journal Basic Information
pISSN :
1015-8634
eISSN :
2234-3016
Journal DOI :
10.4134/BKMS
Frequency :
Others
Publisher:
The Korean Mathematical Society
Editor in Chief :
Volume & Issues
Volume 39, Issue 4 - Nov 2002
Volume 39, Issue 3 - Aug 2002
Volume 39, Issue 2 - May 2002
Volume 39, Issue 1 - Feb 2002
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1
q-IDEALLY DIFFERENTIAL AND i-IDEALLY DIFFERENTIAL COMMUTATIVE ARTINIAN RINGS
Artemovych, O.D. ;
Bulletin of the Korean Mathematical Society, volume 39, issue 1, 2002, Pages 1~8
DOI : 10.4134/BKMS.2002.39.1.001
Abstract
We characterize the commutative Artinian rings R every proper quotient ring (respectively every proper ideal) in which is invariant with respect to all derivations.
2
L
_{2}
-NORM ERROR ANALYSIS OF THE HP-VERSION WITH NUMERICAL INTEGRATION
Kim, Ik-Sung ;
Bulletin of the Korean Mathematical Society, volume 39, issue 1, 2002, Pages 9~22
DOI : 10.4134/BKMS.2002.39.1.009
Abstract
We consider the hp-version to solve non-constant coefficient elliptic equations with Dirichlet boundary conditions on a bounded, convex polygonal domain
in
To compute the integrals in the variational formulation of the discrete problem we need the numerical quadrature rule scheme. In this paler we consider a family
of numerical quadrature rules satisfying certain properties. When the numerical quadrature rules
are used for calculating the integrals in the stiffness matrix of the variational form we will give its variational fore and derive an error estimate of
3
ON THE MINIMAX VARIANCE ESTIMATORS OF SCALE IN TIME TO FAILURE MODELS
Lee, Jae-Won ; Shevlyakov, Georgy-L. ;
Bulletin of the Korean Mathematical Society, volume 39, issue 1, 2002, Pages 23~31
DOI : 10.4134/BKMS.2002.39.1.023
Abstract
A scale parameter is the principal parameter to be estimated, since it corresponds to one of the main reliability characteristics, namely the average time to failure. To provide robustness of scale estimators to gross errors in the data, we apply the Huber minimax approach in time to failure models of the statistical reliability theory. The minimax valiance estimator of scale is obtained in the important particular case of the exponential distribution.
4
ON POSITIVE-NORMAL OPERATORS
Jeon, In-Ho ; Kim, Se-Hee ; Ko, Eun-Gil ; Park, Ji-Eun ;
Bulletin of the Korean Mathematical Society, volume 39, issue 1, 2002, Pages 33~41
DOI : 10.4134/BKMS.2002.39.1.033
Abstract
In this paper we study the properties of positive-normal operators and show that Wey1's theorem holds for some totally positive-normal operators.
5
ITERATIVE APPROXIMATION OF FIXED POINTS FOR STRONGLY PSEUDO-CONTRACTIVE MAPPINGS
Sharma, Sushil ; Deshpande, Bhavana ;
Bulletin of the Korean Mathematical Society, volume 39, issue 1, 2002, Pages 43~51
DOI : 10.4134/BKMS.2002.39.1.043
Abstract
The aim of this paper is to prove a convergence theorem of a generalized Ishikawa iteration sequence for two multi-valued strongly pseudo-contractive mappings by using an approximation method in real uniformly smooth Banach spaces. We generalize and extend the results of Chang and Chang, Cho, Lee, Jung, and Kang.
6
h-STABILITY OF PERTURBED VOLTERRA DIFFERENCE SYSTEMS
Choi, Sung-Kyu ; Koo, Nam-Jip ; Goo, Yoon-Hoe ;
Bulletin of the Korean Mathematical Society, volume 39, issue 1, 2002, Pages 53~62
DOI : 10.4134/BKMS.2002.39.1.053
Abstract
We discuss the
of perturbed Volterra difference systems by means of the resolvent matrix and discrete inequalities.
7
TRACE-CLASS INTERPOLATION FOR VECTORS IN TRIDIAGONAL ALGEBRAS
Jo, Young-Soo ; Kang, Joo-Ho ;
Bulletin of the Korean Mathematical Society, volume 39, issue 1, 2002, Pages 63~69
DOI : 10.4134/BKMS.2002.39.1.063
Abstract
Given vectors x and y in a Hilbert space, an intepolating operator is a bounded operator T such that Tx=y. an interpolating operator for n vectors satisfies the equation Tx
=y, for i=1, 2,…, n. In this article, we obtained the fellowing : Let x = (x
) and y = (y
) be two vectors in H such that x
0 for all i = 1, 2,…. Then the following statements are equivalent. (1) There exists an operator A in AlgＬ such that Ax = y, A is a trace-class operator and every E in Ｌ reduces A. (2) (equation omitted).mitted).
8
CELLULAR ALGEBRAS AND CENTERS OF HECKE ALGEBRAS
Jeong, Yeon-Kwan ; Lee, In-Sok ; Oh, Hyekyung ; Park, Kyung-Hwan ;
Bulletin of the Korean Mathematical Society, volume 39, issue 1, 2002, Pages 71~79
DOI : 10.4134/BKMS.2002.39.1.071
Abstract
In this short note, we find bases of the centers of generic Hecke algebras associated with certain finite Coxeter groups. Our bases are described using the notion of cell datum of Graham and Lehrer, and the notion of norm.
9
HARDY＇S INEQUALITY RELATED TO A BERNOULLI EQUATION
Hyun, Jung-Soon ; Kim, Sang-Dong ;
Bulletin of the Korean Mathematical Society, volume 39, issue 1, 2002, Pages 81~87
DOI : 10.4134/BKMS.2002.39.1.081
Abstract
The weighted Hardy＇s inequality is known as (equation omitted) where -
a
b
and 1 < p <
. The purpose of this article is to provide a useful formula to express the weight r(x) in terms of s(x) or vice versa employing a Bernoulli equation having the other weight as coefficients.
10
AN INTEGRAL FORMULA AND ITS APPLICATIONS
Chai, Y.-D ; Kim, Moonjeong ;
Bulletin of the Korean Mathematical Society, volume 39, issue 1, 2002, Pages 89~95
DOI : 10.4134/BKMS.2002.39.1.089
Abstract
In this paper, we obtain an integral formula relating the measure of great spheres
and arc length of a curve on the unit sphere
As an application of the formula, we develop a geometric inequality for a spherical curve and prone generalized version of Fenchel＇s theorem in
.
11
POLYGON SHORTENING MAKES (MOST) QUADRILATERALS CIRCULAR
Jecko, Thierry ; Leger, Jean-Christophe ;
Bulletin of the Korean Mathematical Society, volume 39, issue 1, 2002, Pages 97~111
DOI : 10.4134/BKMS.2002.39.1.097
Abstract
We show that an analog of the age-Grayson-Hamilton Theorem for curves moving according to their mean curvature holds for the motion of quadrilaterals according to their Menger curvature.
12
HAUSDORFF DIMENSION OF GENERALIZED MARKOV ATTRACTORS FOR ITERATED FUCTION SYSTEMS
Park, Jung-Ju ; Lee, Hung-Hwan ; Baek, Hun-Ki ; Yoo, Hyun-Jae ;
Bulletin of the Korean Mathematical Society, volume 39, issue 1, 2002, Pages 113~121
DOI : 10.4134/BKMS.2002.39.1.113
Abstract
We construct lots of non-self similar fractal sets called generalized Markov attractors for a given (hyperbolic) iterated function system and calculated bounds of their Hausdorff dimensions.
13
ON A CLASS OF ANALYTIC FUNCTIONS INVOLVING RUSCHEWEYH DERIVATIVES
Yang, Dinggong ; Liu, Jinlin ;
Bulletin of the Korean Mathematical Society, volume 39, issue 1, 2002, Pages 123~131
DOI : 10.4134/BKMS.2002.39.1.123
Abstract
Let A(p, k) (p, k
N) be the class of functions f(z) =
+
+… analytic in the unit disk. We introduce a subclass H(p, k, λ,
, A, B) of A(p, k) by using the Ruscheweyh derivative. The object of the present paper is to show some properties of functions in the class H(p, k, λ,
, A, B). B).
14
MODULI OF SELF-DUAL METRICS ON COMPLEX HYPERBOLIC MANIFOLDS
Kim, Jaeman ;
Bulletin of the Korean Mathematical Society, volume 39, issue 1, 2002, Pages 133~140
DOI : 10.4134/BKMS.2002.39.1.133
Abstract
On compact complex hyperbolic manifolds of complex dimension two, we show that the dimension of the space of infinitesimal deformations of self-dual conformal structures is smaller than that of the deformation obstruction space and that every self-dual metric with covariantly constant Ricci tensor must be a standard one upto rescalings and diffeomorphisms.
15
STABILITY Of ISOMETRIES ON HILBERT SPACES
Jun, Kil-Woung ; Park, Dal-Won ;
Bulletin of the Korean Mathematical Society, volume 39, issue 1, 2002, Pages 141~151
DOI : 10.4134/BKMS.2002.39.1.141
Abstract
Let X and Y be real Banach spaces and
, p
0. A mapping T between X and Y is called an (
, p)-isometry if ｜∥T(x)-T(y)∥-∥x-y∥｜
∥x-y∥
for x, y
X. Let H be a real Hilbert space and T : H longrightarrow H an (
, p)-isometry with T(0) = 0. If p
1 is a nonnegative number, then there exists a unique isometry I : H longrightarrow H such that ∥T(x)-I(y)∥
C(
)(∥x∥
+∥x∥
) for all x
H, where C(
) longrightarrow 0 as
longrightarrow 0.
16
FINSLER SPACES WITH THE SECOND APPROXIMATE MATSUMOTO METRIC
Park, Hong-Suh ; Choi, Eun-Seo ;
Bulletin of the Korean Mathematical Society, volume 39, issue 1, 2002, Pages 153~163
DOI : 10.4134/BKMS.2002.39.1.153
Abstract
The present paper is devoted to studying the condition for a Finsler space with the second approximate Matsumoto metric to be a Berwald space and to be a Douglas space.
17
REMARKS ON k-FOLD INTEGER-VALUED POLYNOMIALS
Laohakosol, Vichian ; Sripayap, Angkana ;
Bulletin of the Korean Mathematical Society, volume 39, issue 1, 2002, Pages 165~174
DOI : 10.4134/BKMS.2002.39.1.165
Abstract
A polynomial if k-fold integer-valued if itself and its derivatives up to order k are integer-valued. Necessary and sufficient conditions are established far (i) polynomials with rational coefficients to be k-fold integer-valued, and for (ii) a quotient of two k-fold integer-valued polynomials to be k-fold integer-valued.
18
CELLULAR EMBEDDINGS OF LINE GRAPHS AND LIFTS
Kim, Jin-Hwan ;
Bulletin of the Korean Mathematical Society, volume 39, issue 1, 2002, Pages 175~184
DOI : 10.4134/BKMS.2002.39.1.175
Abstract
A Cellular embedding of a graph G into an orientable surface S can be considered as a cellular decomposition of S into 0-cells, 1-cells and 2-cells and vise versa, in which 0-cells and 1-cells form a graph G and this decomposition of S is called a map in S with underlying graph G. For a map M with underlying graph G, we define a natural rotation on the line graph of the graph G and we introduce the line map for M. we find that genus of the supporting surface of the line map for a map and we give a characterization for the line map to be embedded in the sphere. Moreover we show that the line map for any life of a map M is map-isomorphic to a lift of the line map for M.