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Journal of the Chungcheong Mathematical Society
Journal Basic Information
pISSN :
1226-3524
eISSN :
Journal DOI :
10.14403/jcms
Frequency :
Others
Publisher:
Chungcheong Mathematical Society
Editor in Chief :
Nam-Jip Koo
Volume & Issues
Volume 22, Issue 4 - Dec 2009
Volume 22, Issue 3 - Sep 2009
Volume 22, Issue 2 - Jun 2009
Volume 22, Issue 1 - Mar 2009
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1
AUTOMATIC CONTINUITY AND STABILITY OF APPROXIMATE HIGHER DERIVATIONS
Lee, Young-Whan ; Kim, Gwang-Hui ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 4, 2009, Pages 615~622
Abstract
We solve the automatic continuity problem of an approximate higher derivation on a semisimple Banach algebra and investigate Hyers-Ulam stability for higher derivations.
2
ISOMETRIES IN PROBABILISTIC 2-NORMED SPACES
Rahbarnia, F. ; Cho, Yeol-Je ; Saadati, R. ; Sadeghi, Gh. ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 4, 2009, Pages 623~633
Abstract
The classical Mazur-Ulam theorem states that every surjective isometry between real normed spaces is affine. In this paper, we study 2-isometries in probabilistic 2-normed spaces.
3
-STABILITY FOR PERTURBED VOLTERRA DIFFERENCE SYSTEMS
Goo, Yoon-Hoe ; Jung, Se-Lim ; Ry, Dae-Hee ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 4, 2009, Pages 635~643
Abstract
We investigate
-stability of solutions of perturbed Volterra difference systems.
4
COMMON FIXED POINT THEOREMS FOR GENERALIZED CONTRACTIVE TYPE MULTIVALUED MAPPINGS
Cho, Seong-Hoon ; Bae, Jong-Sook ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 4, 2009, Pages 645~652
Abstract
In this paper, we give a generalized contractive type condition for a pair of multivalued mappings and analyze the existence of common fixed point for these mappings.
5
SUBMANIFOLDS OF AN ALMOST
-PARACONTACT RIEMANNIAN MANIFOLD ENDOWED WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION
Ahmad, Mobin ; Jun, Jae-Bok ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 4, 2009, Pages 653~665
Abstract
We define a semi-symmetric non-metric connection in an almost
-paracontact Riemannian manifold and we consider sub-manifolds of an almost
-paracontact Riemannian manifold endowed with a semi-symmetric non-metric connection and obtain Gauss and Codazzi equations, Weingarten equation and curvature tensor for submanifolds of an almost
-paracontact Riemannian manifold en- dowed with a semi-symmetric non-metric connection.
6
ON MINIMAL PRECONTINUOUS FUNCTIONS
Min, Won-Keun ; Kim, Young-Key ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 4, 2009, Pages 667~673
Abstract
In this paper, we introduce the notions of minimal precontinuity,
-preclosed graph, almost
-precompact and
-precompact and investigate some properties for such notions.
7
TWO JUMPING NONLINEAR TERMS AND A NONLINEAR WAVE EQUATION
Jung, Tack-Sun ; Choi, Q-Heung ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 4, 2009, Pages 675~687
Abstract
We find the multiple nontrivial solutions of the equation of the form
with Dirichlet boundary condition. Here we reduce this problem into a two-dimensional problem by using variational reduction method and apply the Mountain Pass theorem to find the nontrivial solutions.
8
MORPHISMS BETWEEN FANO MANIFOLDS GIVEN BY COMPLETE INTERSECTIONS
Choe, In-Song ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 4, 2009, Pages 689~697
Abstract
We study the existence of surjective morphisms between Fano manifolds of Picard number 1, when the source is given by the intersection of a cubic hypersurface and either a quadric or another cubic hypersurface in a projective space.
9
ON DOUGLAS SPACE WITH AN APPROXIMATE INFINITE SERIES
-METRIC
Lee, Il-Yong ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 4, 2009, Pages 699~716
Abstract
We deal with a Finsler space Fn with an approximate infinite series
-metric
=
where
<
We introduced a Finsler space
with an infinite series
-metric
=
and investigated various geometrical properties at [6]. The purpose of the present paper is devoted to finding the condition for a Finsler space
with an approximate in?nite series
-metric above to be a Douglas space.
10
PARTIAL FRACTION DECOMPOSITION FROM A LINEAR-ALGEBRAIC VIEWPOINT
Lee, Jeong-Keun ; Choa, Jun-Soo ; Cho, Min-Shik ; Han, Dong-Hwan ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 4, 2009, Pages 717~725
Abstract
We show that to every real polynomial of degree n, there corresponds a certain basis for the space of polynomials of degree less than or equal to (
- 1). As an application, we give a new proof for the existence and uniqueness of the partial fraction decomposition of a rational function.
11
MULTIPLIERS OF WEIGHTED BLOCH SPACES AND BESOV SPACES
Yang, Gye-Tak ; Choi, Ki-Seong ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 4, 2009, Pages 727~737
Abstract
Let
be the space of all pointwise multipliers of Banach space X. We will show that, for each
> 1,
=
=
. We will also show that, for each 0 <
< 1,
and
are Banach algebras. It is established that certain inclusion relationships exist between the weighted Bloch spaces and holomorphic Besov spaces.
12
ON CERTAIN POLYNOMIALS HAVING ALL THEIR ZEROS EXCEPT FOR 1 ON A CIRCLE OF RADIUS < 1
Kim, Seon-Hong ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 4, 2009, Pages 739~741
Abstract
Given
> 1, there exist
-polynomials of the form
, where
= 1,
> 0 and
for each
. In this paper, we obtain lower bounds for
.
13
THE GENERALIZED FERNIQUE'S THEOREM FOR ANALOGUE OF WIENER MEASURE SPACE
Ryu, Kun-Sik ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 4, 2009, Pages 743~748
Abstract
In 1970, Fernique proved that there is a positive real number
such that
exp{
}
is finite where (
) is an abstract Wiener measure space and
is a measurable norm on (
) in [2, 3]. In this article, we investigate the existence of the integral
exp{
}
where (
,
) is the analogue of Wiener measure space and p and
are both positive real numbers.
14
STUDY ON UNIVALENT HARMONIC MAPPINGS
Jun, Sook-Heui ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 4, 2009, Pages 749~756
Abstract
In this paper, we obtain some coefficient bounds of harmonic univalent mappings on
= {z :
> 1} which are starlike, convex, or convex in one direction.
15
ON THE STABILITY OF AN AQCQ-FUNCTIONAL EQUATION
Park, Choon-Kil ; Jo, Sung-Woo ; Kho, Dong-Yeong ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 4, 2009, Pages 757~770
Abstract
In this paper, we prove the generalized Hyers-Ulam stability of the following additive-quadratic-cubic-quartic functional equation (0.1) f(x + 2y) + f(x - 2y) = 4f(x + y) + 4f(x - y) -6f(x) + f(2y) + f(-2y) - 4f(y) - 4f(-y) in Banach spaces.
16
HARMONIC TRANSFORMATIONS OF THE HYPERBOLIC PLANE
Park, Joon-Sik ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 4, 2009, Pages 771~776
Abstract
Let (H, g) denote the upper half plane in
with the Riemannian metric g := (
+
)
. First of all we get a necessary and sufficient condition for a diffeomorphism
of (H, g) to be a harmonic map. And, we obtain the fact that if a diffeomorphism
of (H, g) is a harmonic function, then the following facts are equivalent: (1)
is a harmonic map; (2)
is an affine transformation; (3)
is an isometry (motion).
17
CASTELNOUVO-MUMFORD REGULARITY OF GRADED MODULES HAVING A LINEAR FREE PRESENTATION
Ahn, Jea-Man ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 4, 2009, Pages 777~787
Abstract
In this paper we investigate the upper bound on the Castelnuovo-Mumford regularity of a graded module with linear free presentation. Let
be a finitely generated graded module over a polynomial ring R with zero dimensional support. We prove that if M is generated by elements of degree d
0 with a linear free presentation
, then the Castelnuovo-Mumford regularity of M is at most d+q-1. As an important application, we can prove vector bundle technique, which was used in [11], [13], [17] as a tool for obtaining several remarkable results.
18
ON SECURE BINARY SEQUENCES GENERATED BY A FUNCTION
mod
Rhee, Min-Surp ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 4, 2009, Pages 789~797
Abstract
Invertible transformations over
-bit words are essential ingredients in many cryptographic constructions. When
is large (e.g.,
= 64) such invertible transformations are usually represented as a composition of simpler operations such as linear functions, S-P networks, Feistel structures and T-functions. Among them we will study T-functions which are probably invertible transformation and are very useful in stream ciphers. In this paper we will show that
mod
is a permutation with a single cycle of length
if both the least significant bit and the third significant bit in the constant
are 1, where
is a T-function.
19
FORMULAS OF GALOIS ACTIONS OF SOME CLASS INVARIANTS OVER QUADRATIC NUMBER FIELDS WITH DISCRIMINANT
(mod 12)
Jeon, Dae-Yeol ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 4, 2009, Pages 799~814
Abstract
A class invariant is the value of a modular function that generates a ring class ?eld of an imaginary quadratic number field such as the singular moduli of level 1. In this paper, using Shimura Reciprocity Law, we compute the Galois actions of some class invariants from the generalized Weber functions
and
over quadratic number fields with discriminant D
1 (mod 12).
20
SOLUTION AND STABILITY OF MIXED TYPE FUNCTIONAL EQUATIONS
Jun, Kil-Woung ; Jung, Il-Sook ; Kim, Hark-Mahn ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 4, 2009, Pages 815~830
Abstract
In this paper we establish the general solution of the following functional equation with mixed type of quadratic and additive mappings
, where
is a positive integer, and then investigate the generalized Hyers-Ulam stability of this equation in quasi-Banach spaces.
21
-SPACES FOR MAPS AND POSTNIKOV SYSTEMS
Yoon, Yeon-Soo ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 4, 2009, Pages 831~841
Abstract
For a map f : A
X, we define and study a concept of
-space for a map, which is a generalized one of a
-space. Any
-space is a
-space, but the converse does not hold. In fact,
is a
-space, but not
-space. We show that X is a
-space if and only if
(A, f,X) =
for all
. It is clear that any
-space is a
-space and any
-space is a
-space. We can also obtain some results about
-spaces in Postnikov systems for spaces, which are generalization of Haslam's results about
-spaces.
22
CONSTRUCTIONS OF (0,1)-MATRIX WITH PERMANENT
Park, Se-Won ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 4, 2009, Pages 843~851
Abstract
The purpose of this paper is to show that for each integer
where
, there exists an
-matrix A with exactly
. Thus we introduce a constructive approch for such matrices. Using the permanent of (0,1)-matrix, we decomposed the number
! with an linear combination of the power of 2. That coefficient is an stiring number.