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Journal of the Chungcheong Mathematical Society
Journal Basic Information
pISSN :
1226-3524
eISSN :
2383-6245
Journal DOI :
10.14403/jcms
Frequency :
Others
Publisher:
Chungcheong Mathematical Society
Editor in Chief :
Sang Hoon Lee
Volume & Issues
Volume 25, Issue 4 - Nov 2012
Volume 25, Issue 3 - Aug 2012
Volume 25, Issue 2 - May 2012
Volume 25, Issue 1 - Feb 2012
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1
FRACTIONAL SOLUTIONS OF A CONFLUENT HYPERGEOMETRIC EQUATION
Yilmazer, Resat ; Bas, Erdal ;
Journal of the Chungcheong Mathematical Society , volume 25, issue 2, 2012, Pages 149~157
DOI : 10.14403/jcms.2012.25.2.149
Abstract
By means of fractional calculus techniques, we find explicit solutions of confluent hypergeometric equations. We use the N-fractional calculus operator
method to derive the solutions of these equations.
2
ON THE GENERALIZED HYERS-ULAM STABILITY OF A BI-JENSEN FUNCTIONAL EQUATION ON A PUNCTURED DOMAIN
Lee, Yang-Hi ;
Journal of the Chungcheong Mathematical Society , volume 25, issue 2, 2012, Pages 159~170
DOI : 10.14403/jcms.2012.25.2.159
Abstract
In this paper, we investigate the stability of a bi-Jensen functional equation
,
in the spirit of P.G
vruta.
3
ON THE STABILITY OF A QUADRATIC FUNCTIONAL EQUATION
Lee, Sang-Baek ; Han, Mi Hyun ; Park, Won-Gil ;
Journal of the Chungcheong Mathematical Society , volume 25, issue 2, 2012, Pages 171~182
DOI : 10.14403/jcms.2012.25.2.171
Abstract
In this paper, for any fixed integer $n\;>\;m\;{\geq}\;1$, we investigate the generalized Hyers-Ulam stability of the following quadratic functional equation
in
-Banach spaces, where $0\;<\;p\;{\leq}\;1$. And we prove the same stability of the above functional equation in 2-Banach spaces.
4
EQUATIONS OF GEODESIC WITH AN APPROXIMATE INFINITE SERIES (
)-METRIC
Lee, Il-Yong ;
Journal of the Chungcheong Mathematical Society , volume 25, issue 2, 2012, Pages 183~200
DOI : 10.14403/jcms.2012.25.2.183
Abstract
In the present paper, we consider the condition that is a geodesic equation on a Finsler space with an (
)-metric. Next we find the conditions that are equations of geodesic on the Finsler space with an approximate infinite series (
)-metric.
5
ON THE STABILITY OF THE QUADRATIC-ADDITIVE FUNCTIONAL EQUATION IN RANDOM NORMED SPACES VIA FIXED POINT METHOD
Jin, Sun Sook ; Lee, Yang-Hi ;
Journal of the Chungcheong Mathematical Society , volume 25, issue 2, 2012, Pages 201~215
DOI : 10.14403/jcms.2012.25.2.201
Abstract
In this paper, we prove the stability in random normed spaces via fixed point method for the functional equation
.
6
NORMAL FUZZY PROBABILITY FOR GENERALIZED QUADRATIC FUZZY SETS
Kim, Changil ; Yun, Yong Sik ;
Journal of the Chungcheong Mathematical Society , volume 25, issue 2, 2012, Pages 217~225
DOI : 10.14403/jcms.2012.25.2.217
Abstract
A generalized quadratic fuzzy set is a generalization of a quadratic fuzzy number. Zadeh defines the probability of the fuzzy event using the probability. We define the normal fuzzy probability on
using the normal distribution. And we calculate the normal fuzzy probability for generalized quadratic fuzzy sets.
7
A TOPOLOGICAL MINIMAX INEQUALITY WITH
-DCQCV AND ITS APPLICATIONS
Kim, Won Kyu ;
Journal of the Chungcheong Mathematical Society , volume 25, issue 2, 2012, Pages 227~233
DOI : 10.14403/jcms.2012.25.2.227
Abstract
In this paper, using the
-diagonally
-quasiconcave condition, we will prove a new minimax inequality in a non-convex subset of a topological space which generalizes Fan's minimax inequality and its generalizations in several aspects.
8
LIMIT SHADOWING WITH
TRANSVERSALITY CONDITION
Lee, Keonhee ; Lee, Manseob ; Park, Junmi ;
Journal of the Chungcheong Mathematical Society , volume 25, issue 2, 2012, Pages 235~239
DOI : 10.14403/jcms.2012.25.2.235
Abstract
Let
be an Axiom A difeomorphism of a closed 2- dimensional smooth manifold M: We show that
has the limit shadowing property if and only if
satisfies the
transversality condition.
9
FUZZY
-IDEALS OF BCI-ALGEBRAS WITH DEGREES IN THE INTERVAL (0, 1]
Sung, Se Kyung ; Ahn, Sun Shin ;
Journal of the Chungcheong Mathematical Society , volume 25, issue 2, 2012, Pages 241~251
DOI : 10.14403/jcms.2012.25.2.241
Abstract
The notion of an enlarged
-ideal and a fuzzy
-ideal in BCI-algebras with degree are introduced. Related properties of them are investigated.
10
-EXTENSION OF A GENERALIZATION OF GOTTLIEB POLYNOMIALS IN TWO VARIABLES
Choi, Junesang ;
Journal of the Chungcheong Mathematical Society , volume 25, issue 2, 2012, Pages 253~265
DOI : 10.14403/jcms.2012.25.2.253
Abstract
Gottlieb polynomials were introduced and investigated in 1938, and then have been cited in several articles. Very recently Khan and Akhlaq introduced and investigated Gottlieb polynomials in two and three variables to give their generating functions. Subse- quently, Khan and Asif investigated the generating functions for the
-analogue of Gottlieb polynomials. Also, by modifying Khan and Akhlaq's method, Choi presented a generalization of the Gottlieb polynomials in
variables to give two generating functions of the generalized Gottlieb polynomials
. Here, we aim at defining a
-extension of the generalized two variable Gottlieb polynomials
and presenting their several generating functions.
11
LOCAL CONVERGENCE RESULTS FOR NEWTON'S METHOD
Argyros, Ioannis K. ; Hilout, Said ;
Journal of the Chungcheong Mathematical Society , volume 25, issue 2, 2012, Pages 267~275
DOI : 10.14403/jcms.2012.25.2.267
Abstract
We present new results for the local convergence of Newton's method to a unique solution of an equation in a Banach space setting. Under a flexible gamma-type condition [12], [13], we extend the applicability of Newton's method by enlarging the radius and decreasing the ratio of convergence. The results can compare favorably to other ones using Newton-Kantorovich and Lipschitz conditions [3]-[7], [9]-[13]. Numerical examples are also provided.
12
PORTFOLIO SELECTION WITH REGIME-SWITCHING: DYNAMIC PROGRAMMING APPROACHES
Shin, Yong Hyun ;
Journal of the Chungcheong Mathematical Society , volume 25, issue 2, 2012, Pages 277~281
DOI : 10.14403/jcms.2012.25.2.277
Abstract
I study an optimal consumption and portfolio selection problem with regime-switching using a dynamic programming method. With constant relative risk aversion (CRRA) utility I obtain optimal solutions in closed-form.
13
ONO INVARIANTS OF IMAGINARY QUADRATIC FUNCTION FIELDS
Ahn, Jaehyun ; Jung, Hwanyup ;
Journal of the Chungcheong Mathematical Society , volume 25, issue 2, 2012, Pages 283~289
DOI : 10.14403/jcms.2012.25.2.283
Abstract
In this paper, we define the Ono invariants of imaginary quadratic function fields and obtained several results concerning the relations between the Ono invariants and the class numbers.
14
ON AP-HENSTOCK-STIELTJES INTEGRAL OF INTERVAL-VALUED FUNCTIONS
Eun, Gwang Sik ; Yoon, Ju Han ; Park, Jae Myung ; Lee, Deok Ho ;
Journal of the Chungcheong Mathematical Society , volume 25, issue 2, 2012, Pages 291~298
DOI : 10.14403/jcms.2012.25.2.291
Abstract
In this paper we introduce the interval-valued AP- Henstock-Stieltjes integral and investigate some properties of the these integrals.
15
INFINITE SERIES RELATION FROM A MODULAR TRANSFORMATION FORMULA FOR THE GENERALIZED EISENSTEIN SERIES
Lim, Sung-Geun ;
Journal of the Chungcheong Mathematical Society , volume 25, issue 2, 2012, Pages 299~312
DOI : 10.14403/jcms.2012.25.2.299
Abstract
In 1970s, B. C. Berndt proved a transformation formula for a large class of functions that includes the classical Dedekind eta function. From this formula, he evaluated several classes of infinite series and found a lot of interesting infinite series identities. In this paper, using his formula, we find new infinite series identities.
16
POWER INEQUALITY ON THE SIMPLEX
Baek, In-Soo ;
Journal of the Chungcheong Mathematical Society , volume 25, issue 2, 2012, Pages 313~318
DOI : 10.14403/jcms.2012.25.2.313
Abstract
The power inequality
holds for the points
of the simplex. We show this using the analytic method combining Frostman's density theorem with the strong law of large numbers.
17
HARMONIC OPERATORS IN
Lee, Hun Hee ;
Journal of the Chungcheong Mathematical Society , volume 25, issue 2, 2012, Pages 319~329
DOI : 10.14403/jcms.2012.25.2.319
Abstract
For a norm 1 function
in the Fourier-Stieltjes algebra of a locally compact group we define the space of
-harmonic operators in the non-commutative
-space associated to the group von Neumann algebra of G. We will investigate some properties of the space and will obtain a precise description of it.
18
HARMONIC MAPS BETWEEN THE GROUP OF AUTOMORPHISMS OF THE QUATERNION ALGEBRA
Kim, Pu-Young ; Park, Joon-Sik ; Pyo, Yong-Soo ;
Journal of the Chungcheong Mathematical Society , volume 25, issue 2, 2012, Pages 331~339
DOI : 10.14403/jcms.2012.25.2.331
Abstract
In this paper, let Q be the real quaternion algebra which consists of all quaternionic numbers, and let G be the Lie group of all automorphisms of the algebra Q. Assume that g is an arbitrary given left invariant Riemannian metric on the Lie group G. Then, we obtain a necessary and sufficient condition for an automorphism of the group G to be harmonic.
19
THE ROLE OF BASE PATHS IN NIELSEN FIXED POINT THEORY
Lee, Seoung Ho ;
Journal of the Chungcheong Mathematical Society , volume 25, issue 2, 2012, Pages 341~347
DOI : 10.14403/jcms.2012.25.2.341
Abstract
The Reidemeister orbit set plays a crucial role in the Nielsen type theory of periodic orbits, much as the Reidemeister set does in Nielsen fixed point theory. Extending our work on Reidemeister orbit sets, we improve our theorem for formulae for Nielsen type essential orbit numbers.
20
ON C-DELTA INTEGRALS ON TIME SCALES
Eun, Gwang Sik ; Yoon, Ju Han ; Kim, Young Kuk ; Kim, Byung Moo ;
Journal of the Chungcheong Mathematical Society , volume 25, issue 2, 2012, Pages 349~357
DOI : 10.14403/jcms.2012.25.2.349
Abstract
In this paper we introduce the C-delta integral which generalize the McShane delta integral and investigate some properties of these integrals.
21
A NOTE ON THE PAPER ENTITLED SIXTEENTH-ORDER METHOD FOR NONLINEAR EQUATIONS
Kim, Young Ik ;
Journal of the Chungcheong Mathematical Society , volume 25, issue 2, 2012, Pages 359~365
DOI : 10.14403/jcms.2012.25.2.359
Abstract
The purpose of this paper is to provide some corrections regarding algebraic flaws encountered in the paper entitled "Sixteenth-order method for nonlinear equations" which was published in January of 2010 by Li et al.[9]. Further detailed comments on their error equation are stated together with convergence analysis as well as high-precision numerical experiments.
22
A FAST LAGRANGE METHOD FOR LARGE-SCALE IMAGE RESTORATION PROBLEMS WITH REFLECTIVE BOUNDARY CONDITION
Oh, SeYoung ; Kwon, SunJoo ;
Journal of the Chungcheong Mathematical Society , volume 25, issue 2, 2012, Pages 367~377
DOI : 10.14403/jcms.2012.25.2.367
Abstract
The goal of the image restoration is to find a good approximation of the original image for the degraded image, the blurring matrix, and the statistics of the noise vector given. Fast truncated Lagrange (FTL) method has been proposed by G. Landi as a image restoration method for large-scale ill-conditioned BTTB linear systems([3]). We implemented FTL method for the image restoration problem with reflective boundary condition which gives better reconstructions of the unknown, the true image.