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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 :
Yongnam Lee
Volume & Issues
Volume 48, Issue 6 - Nov 2011
Volume 48, Issue 5 - Sep 2011
Volume 48, Issue 4 - Jul 2011
Volume 48, Issue 3 - May 2011
Volume 48, Issue 2 - Mar 2011
Volume 48, Issue 1 - Jan 2011
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1
GENERALIZED ANALYTIC FOURIER-FEYNMAN TRANSFORMS AND CONVOLUTIONS ON A FRESNEL TYPE CLASS
Chang, Seung-Jun ; Lee, Il-Yong ;
Bulletin of the Korean Mathematical Society, volume 48, issue 2, 2011, Pages 223~245
DOI : 10.4134/BKMS.2011.48.2.223
Abstract
In this paper, we de ne an
analytic generalized Fourier Feynman transform and a convolution product of functionals in a Ba-nach algebra
(
[0, T]) which is called the Fresnel type class, and in more general class
of functionals de ned on general functio space
[0, T] rather than on classical Wiener space. Also we obtain some relationships between the
analytic generalized Fourier-Feynman transform and convolution product for functionals in
(
[0, T]) and in
.
2
DIFFERENTIAL EQUATIONS RELATED TO FAMILY A
Li, Ping ; Meng, Yong ;
Bulletin of the Korean Mathematical Society, volume 48, issue 2, 2011, Pages 247~260
DOI : 10.4134/BKMS.2011.48.2.247
Abstract
Let h be a meromorphic function with few poles and zeros. By Nevanlinna`s value distribution theory we prove some new properties on the polynomials in h with the coefficients being small functions of h. We prove that if f is a meromorphic function and if
is identically a polynomial in h with the constant term not vanish identically, then f is a polynomial in h. As an application, we are able to find the entire solutions of the differential equation of the type $$f^n+P(f)
3
DERIVATIVE OF THE RIESZ-NÁGY-TAKÁCS FUNCTION
Baek, In-Soo ;
Bulletin of the Korean Mathematical Society, volume 48, issue 2, 2011, Pages 261~275
DOI : 10.4134/BKMS.2011.48.2.261
Abstract
We give characterizations of the differentiability points and the non-differentiability points of the Riesz-N
gy-Tak
cs(RNT) singulr function using the distribution sets in the unit interval. Using characterizations, we show that the Hausdorff dimension of the non-differentiability points of the RNT singular function is greater than 0 and the packing dimension of the infinite derivative points of the RNT singular function is less than 1. Further the RNT singular function is nowhere differentiable in the sense of topological magnitude, which leads to that the packing dimension of the non-differentiability points of the RNT singular function is 1. Finally we show that our characterizations generalize a recent result from the (
,
- 1)-expansion associated with the RNT singular function adding a new result for a sufficient condition for the non-differentiability points.
4
CHARACTERIZATIONS OF ELEMENTS IN PRIME RADICALS OF SKEW POLYNOMIAL RINGS AND SKEW LAURENT POLYNOMIAL RINGS
Cheon, Jeoung-Soo ; Kim, Eun-Jeong ; Lee, Chang-Ik ; Shin, Yun-Ho ;
Bulletin of the Korean Mathematical Society, volume 48, issue 2, 2011, Pages 277~290
DOI : 10.4134/BKMS.2011.48.2.277
Abstract
We show that the
-prime radical of a ring R is the set of all strongly
-nilpotent elements in R, where
is an automorphism of R. We observe some conditions under which the
-prime radical of coincides with the prime radical of R. Moreover we characterize elements in prime radicals of skew Laurent polynomial rings, studying (
,
)-(semi)primeness of ideals of R.
5
RELATIONS AMONG THE FIRST VARIATION, THE CONVOLUTIONS AND THE GENERALIZED FOURIER-GAUSS TRANSFORMS
Im, Man-Kyu ; Ji, Un-Cig ; Park, Yoon-Jung ;
Bulletin of the Korean Mathematical Society, volume 48, issue 2, 2011, Pages 291~302
DOI : 10.4134/BKMS.2011.48.2.291
Abstract
We first study the generalized Fourier-Gauss transforms of functionals defined on the complexification
of an abstract Wiener space (
,
,
). Secondly, we introduce a new class of convolution products of functionals defined on
and study several properties of the convolutions. Then we study various relations among the first variation the convolutions, and the generalized Fourier-Gauss transforms.
6
PRECONDITIONED GAUSS-SEIDEL ITERATIVE METHOD FOR Z-MATRICES LINEAR SYSTEMS
Shen, Hailong ; Shao, Xinhui ; Huang, Zhenxing ; Li, Chunji ;
Bulletin of the Korean Mathematical Society, volume 48, issue 2, 2011, Pages 303~314
DOI : 10.4134/BKMS.2011.48.2.303
Abstract
For Ax
7
DEFORMATIONS OF d/BCK-ALGEBRAS
Allen, Paul J. ; Kim, Hee-Sik ; Neggers, Joseph ;
Bulletin of the Korean Mathematical Society, volume 48, issue 2, 2011, Pages 315~324
DOI : 10.4134/BKMS.2011.48.2.315
Abstract
In this paper, we study the effects of a deformation mapping on the resulting deformation d/BCK-algebra obtained via such a deformation mapping. Besides providing a method of constructing d-algebras from BCK-algebras, it also highlights the special properties of the standard BCK-algebras of posets as opposed to the properties of the class of divisible d/BCK-algebras which appear to be of interest and which form a new class of d/BCK-algebras insofar as its not having been identified before.
8
ASYMPTOTIC DISTRIBUTION OF THE DISCOUNTED PROPER DEFICIT IN THE DISCRETE TIME DELAYED RENEWAL MODEL
Bao, Zhen-Hua ; Wang, Jing ;
Bulletin of the Korean Mathematical Society, volume 48, issue 2, 2011, Pages 325~334
DOI : 10.4134/BKMS.2011.48.2.325
Abstract
In this paper we consider the discrete time delayed renewal risk model. We investigate what will happen when the distribution function of the discounted proper deficit is asymptotic in the initial surplus. In doing this we establish several lemmas regarding some related ruin quantities in the discrete time delayed renewal risk model, which are of significance on their own right.
9
SPHERE-FOLIATED MINIMAL AND CONSTANT MEAN CURVATURE HYPERSURFACES IN PRODUCT SPACES
Seo, Keom-Kyo ;
Bulletin of the Korean Mathematical Society, volume 48, issue 2, 2011, Pages 335~342
DOI : 10.4134/BKMS.2011.48.2.335
Abstract
In this paper, we prove that minimal hypersurfaces when n
3 and nonzero constant mean curvature hypersurfaces when n
2 foliated by spheres in parallel horizontal hyperplanes in
must be rotationally symmetric.
10
A STRONG LIMIT THEOREM FOR SEQUENCES OF BLOCKWISE AND PAIRWISE m-DEPENDENT RANDOM VARIABLES
Le, Van Thanh ; Vu, Ngoc Anh ;
Bulletin of the Korean Mathematical Society, volume 48, issue 2, 2011, Pages 343~351
DOI : 10.4134/BKMS.2011.48.2.343
Abstract
In this paper, we establish a Marcinkiewicz-Zygmund type strong law for sequences of blockwise and pairwise m-dependent random variables. The sharpness of the results is illustrated by an example.
11
DEGREE CONDITIONS AND FRACTIONAL k-FACTORS OF GRAPHS
Zhou, Sizhong ;
Bulletin of the Korean Mathematical Society, volume 48, issue 2, 2011, Pages 353~363
DOI : 10.4134/BKMS.2011.48.2.353
Abstract
Let k
1 be an integer, and let G be a 2-connected graph of order n with n
max{7, 4k+1}, and the minimum degree
k+1. In this paper, it is proved that G has a fractional k-factor excluding any given edge if G satisfies max{
,
}
for each pair of nonadjacent vertices x, y of G. Furthermore, it is showed that the result in this paper is best possible in some sense.
12
SEMI-DIVISORIALITY OF HOM-MODULES AND INJECTIVE COGENERATOR OF A QUOTIENT CATEGORY
Kim, Hwan-Koo ;
Bulletin of the Korean Mathematical Society, volume 48, issue 2, 2011, Pages 365~375
DOI : 10.4134/BKMS.2011.48.2.365
Abstract
In this paper, we study w-ity and (co-)semi-divisoriality of Hom-modules and the semi-divisorial envelope of
(M,N) under suitable conditions on R, M, and N. We also investigate an injective cogenerator of a quotient category.
13
LOCI OF RATIONAL CURVES OF SMALL DEGREE ON THE MODULI SPACE OF VECTOR BUNDLES
Choe, In-Song ;
Bulletin of the Korean Mathematical Society, volume 48, issue 2, 2011, Pages 377~386
DOI : 10.4134/BKMS.2011.48.2.377
Abstract
For a smooth algebraic curve C of genus g
4, let
(r, d) be the moduli space of semistable bundles of rank r
2 over C with fixed determinant of degree d. When (r,d)
14
ON THE INITIAL VALUES OF SOLUTIONS OF A GENERAL FUNCTIONAL EQUATION
Chung, Jae-Young ; Kim, Do-Han ;
Bulletin of the Korean Mathematical Society, volume 48, issue 2, 2011, Pages 387~396
DOI : 10.4134/BKMS.2011.48.2.387
Abstract
We consider a general functional equation with time variable which arises when we investigate regularity problems of some general functional equations. As a result we prove the regularity of the initial values of the solutions. Also as an application we prove the regularity of solutions of some classical functional equations and their distributional versions.
15
SPATIAL BEHAVIOR OF SOLUTION FOR THE STOKES FLOW EQUATION
Liu, Yan ; Liao, Wenhui ; Lin, Changhao ;
Bulletin of the Korean Mathematical Society, volume 48, issue 2, 2011, Pages 397~412
DOI : 10.4134/BKMS.2011.48.2.397
Abstract
In this paper, the equation of the transient Stokes flow of an incompressible viscous fluid is studied. Growth and decay estimates are established associating some appropriate cross sectional line and area integral measures. The method of the proof is based on a first-order differential inequality leading to an alternative of Phragm
n-Lindell
f type in terms of an area measure of the amplitude in question. In the case of decay, we also indicate how to bound the total energy.
16
VARIABLE TIME-STEPPING HYBRID FINITE DIFFERENCE METHODS FOR PRICING BINARY OPTIONS
Kim, Hong-Joong ; Moon, Kyoung-Sook ;
Bulletin of the Korean Mathematical Society, volume 48, issue 2, 2011, Pages 413~426
DOI : 10.4134/BKMS.2011.48.2.413
Abstract
Two types of new methods with variable time steps are proposed in order to valuate binary options efficiently. Type I changes adaptively the size of the time step at each time based on the magnitude of the local error, while Type II combines two uniform meshes. The new methods are hybrid finite difference methods, namely starting the computation with a fully implicit finite difference method for a few time steps for accuracy then performing a
-method during the rest of computation for efficiency. Numerical experiments for standard European vanilla, binary and American options show that both Type I and II variable time step methods are much more efficient than the fully implicit method or hybrid methods with uniform time steps.
17
HOPF HYPERSURFACES IN COMPLEX TWO-PLANE GRASSMANNIANS WITH LIE PARALLEL NORMAL JACOBI OPERATOR
Jeong, Im-Soon ; Lee, Hyun-Jin ; Suh, Young-Jin ;
Bulletin of the Korean Mathematical Society, volume 48, issue 2, 2011, Pages 427~444
DOI : 10.4134/BKMS.2011.48.2.427
Abstract
In this paper we give some non-existence theorems for Hopf hypersurfaces in the complex two-plane Grassmannian
with Lie parallel normal Jacobi operator
and totally geodesic D and
components of the Reeb flow.