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Honam Mathematical Journal
Journal Basic Information
pISSN :
1225-293X
eISSN :
2288-6176
Journal DOI :
10.5831/HMJ
Frequency :
Others
Publisher:
The Honam Mathematical Society
Editor in Chief :
Volume & Issues
Volume 34, Issue 4 - Dec 2012
Volume 34, Issue 3 - Sep 2012
Volume 34, Issue 2 - Jun 2012
Volume 34, Issue 1 - Mar 2012
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1
ON THE EXTENDED q-EULER NUMBERS AND POLYNOMIALS OF HIGHER-ORDER WITH WEIGHT
Kim, Hyun-Mee ; Choi, Jong-Sung ; Kim, Tae-Kyun ;
Honam Mathematical Journal, volume 34, issue 1, 2012, Pages 1~9
DOI : 10.5831/HMJ.2012.34.1.1
Abstract
The purpose of this paper is to give a new construction of the extended q-Euler numbers and polynomials of higher-order with weight by using p-adic q-integral on
.
2
A NOTE ON THE WEIGHTED q-GENOCCHI NUMBERS AND POLYNOMIALS WITH THEIR INTERPOLATION FUNCTION
Arac, Serkan ; Ackgoz, Mehmet ; Seo, Jong-Jin ;
Honam Mathematical Journal, volume 34, issue 1, 2012, Pages 11~18
DOI : 10.5831/HMJ.2012.34.1.11
Abstract
Recently, T. Kim has introduced and analysed the q-Bernoulli numbers and polynomials with weight
cf.[7]. By the same motivaton, we also give some interesting properties of the q-Genocchi numbers and polynomials with weight
. Also, we derive the q-extensions of zeta type functions with weight from the Mellin transformation of this generating function which interpolates the q-Genocchi polynomials with weight at negative integers.
3
A FIXED POINT APPROACH TO THE STABILITY OF THE MIXED TYPE FUNCTIONAL EQUATION
Jin, Sun-Sook ; Lee, Yang-Hi ;
Honam Mathematical Journal, volume 34, issue 1, 2012, Pages 19~34
DOI : 10.5831/HMJ.2012.34.1.19
Abstract
In this paper, we investigate the stability of a functional equation f(x+y+z)-f(x+y)-f(y+z)-f(x+z)+f(x)+f(y)+f(z) = 0 by using the fixed point theory in the sense of L. Cadariu and V. Radu.
4
GENERALIZATIONS OF CERTAIN SUMMATION FORMULA DUE TO RAMANUJAN
Song, Hyeong-Kee ; Kim, Yong-Sup ;
Honam Mathematical Journal, volume 34, issue 1, 2012, Pages 35~44
DOI : 10.5831/HMJ.2012.34.1.35
Abstract
Motivated by the extension of classical Dixon's summation theorem for the series
given by Lavoie, Grondin, Rathie and Arora, the authors aim at deriving four generalized summation formulas, which, upon specializing their parameters, give many summation identities including, especially, the four very interesting summation formulas due to Ramanujan.
5
STABILITY OF MULTIPLICATIVE INVERSE FUNCTIONAL EQUATIONS IN THREE VARIABLES
Lee, Eun-Hwi ;
Honam Mathematical Journal, volume 34, issue 1, 2012, Pages 45~54
DOI : 10.5831/HMJ.2012.34.1.45
Abstract
In this paper, we prove stabilities of multiplicative functional equations in three variables such as
=
and
=
.
6
STABILITY FOR JORDAN LEFT DERIVATIONS MAPPING INTO THE RADICAL OF BANACH ALGEBRAS
Park, Won-Gil ; Chang, Ick-Soon ;
Honam Mathematical Journal, volume 34, issue 1, 2012, Pages 55~62
DOI : 10.5831/HMJ.2012.34.1.55
Abstract
In this article, we take account of stability for ring Jordan left derivations and ring left derivations and we also deal with problems for the radical ranges of linear Jordan left derivations and linear left derivations.
7
ONVOLUTION SUM Σ
_{m}
_{<}
_{n/8}
σ
_{1}
(2m)σ
_{1}
(n-8m)
Kim, Dae-Yeoul ; Kim, Ae-Ran ; Park, Hwa-Sin ;
Honam Mathematical Journal, volume 34, issue 1, 2012, Pages 63~76
DOI : 10.5831/HMJ.2012.34.1.63
Abstract
In this paper, we present the convolution sum
<
evaluated for all
.
8
COMMON FIXED POINT THEOREM FOR WEAKLY COMMUTING USING IMPLICIT RELATION ON INTUITIONISTIC FUZZY METRIC SPACE
Park, Jong-Seo ;
Honam Mathematical Journal, volume 34, issue 1, 2012, Pages 77~84
DOI : 10.5831/HMJ.2012.34.1.77
Abstract
In this paper, we define the weakly commuting mapping and prove the fixed point theorem for weakly commuting mappings under some conditions on intuitionistic fuzzy metric spaces.
9
GENERALIZED PROPERTIES OF STRONGLY FRÉCHET
Cho, Myung-Hyun ; Kim, Jun-Hui ; Moon, Mi-Ae ;
Honam Mathematical Journal, volume 34, issue 1, 2012, Pages 85~92
DOI : 10.5831/HMJ.2012.34.1.85
Abstract
Our purpose of this paper is to introduce and study some properties related to approximations by points. More precisely, we introduce strongly AP, strongly AFP, strongly ACP, and strongly WAP properties which are stronger than AP, AFP, ACP, and WAP respectively. Also they are weaker than strongly Fr
chet property. And we study general properties and topological operations on such spaces and give some examples.
10
THE NUMBER OF POINTS ON ELLIPTIC CURVES E
_{A}
^{0}
:y
^{2}
=x
^{3}
+Ax OVER
_{p}
MOD 24
Park, Hwa-Sin ; You, Soon-Ho ; Kim, Dae-Yeoul ; Kim, Min-Hee ;
Honam Mathematical Journal, volume 34, issue 1, 2012, Pages 93~101
DOI : 10.5831/HMJ.2012.34.1.93
Abstract
Let
denote the elliptic curve
. In this paper, we calculate the number of points on elliptic curves
over
mod 24. For example, if
(mod 24) is a prime,
(mod p) and A(-1 + 2t) is a quartic residue modulo p, then the number of points in
is congruent to 0 modulo 24.
11
LOWER BOUND OF LENGTH OF TRIANGLE INSCRIBED IN A CIRCLE ON NON-EUCLIDEAN SPACES
Chai, Y.D. ; Lee, Young-Soo ;
Honam Mathematical Journal, volume 34, issue 1, 2012, Pages 103~111
DOI : 10.5831/HMJ.2012.34.1.103
Abstract
Wetzel[5] proved if
is a closed curve of length L in
, then
lies in some ball of radius [L/4]. In this paper, we generalize Wetzel's result to the non-Euclidean plane with much stronger version. That is to develop a lower bound of length of a triangle inscribed in a circle in non-Euclidean plane in terms of a chord of the circle.
12
INTEGRAL REPRESENTATIONS FOR SRIVASTAVA'S HYPERGEOMETRIC FUNCTION H
_{A}
Choi, June-Sang ; Hasanov, Anvar ; Turaev, Mamasali ;
Honam Mathematical Journal, volume 34, issue 1, 2012, Pages 113~124
DOI : 10.5831/HMJ.2012.34.1.113
Abstract
While investigating the Lauricella's list of 14 complete second-order hypergeometric series in three variables, Srivastava noticed the existence of three additional complete triple hypergeometric series of the second order, which were denoted by
,
and
. Each of these three triple hypergeometric functions
,
and
has been investigated extensively in many different ways including, for example, in the problem of finding their integral representations of one kind or the other. Here, in this paper, we aim at presenting further integral representations for the Srivatava's triple hypergeometric function
.
13
CHARACTERIZATIONS OF FALLING FUZZY IDEALS
Jun, Young-Bae ; Song, Seok-Zun ; Roh, Eun-Hwan ;
Honam Mathematical Journal, volume 34, issue 1, 2012, Pages 125~133
DOI : 10.5831/HMJ.2012.34.1.125
Abstract
Relations among falling fuzzy ideals, falling fuzzy implicative ideals, falling fuzzy positive implicative ideals and falling fuzzy commutative ideals are considered. Characterizations of falling fuzzy positive implicative ideals and other related ideals are discussed.