ON THE STABILITY OF THE COSINE TYPE FUNCTIONAL EQUATION

被引：0
作者：
Kim, Gwang Hui [1 ]
机构：
[1] Kangnam Univ, Dept Math, Yongin 446702, Gyeonggi, South Korea
来源：
JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS | 2007年 / 14卷 / 01期
关键词：
stability; superstability; functional equation; sine functional equation;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of this paper is to study the superstability problem of the cosine type functional equation f(x + y) + f(x + sigma y) = 2g(x) g(y).
引用
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页码：7 / 14
页数：8
相关论文
共 15 条
[1]  
BADORA R, 2002, ADV MAT, V3, P3
[2]  
Badora R., 1998, ROCZNIK NAUKOWO DYDA, V15, P1
[3]   STABILITY OF THE EQUATION F(X+Y)=F(X)F(Y) [J].
BAKER, J ;
LAWRENCE, J ;
ZORZITTO, F .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1979, 74 (02) :242-246
[4]  
BAKER JA, 1980, P AM MATH SOC, V80, P411, DOI 10.2307/2043730
[5]   APPROXIMATELY ISOMETRIC AND MULTIPLICATIVE TRANSFORMATIONS ON CONTINUOUS FUNCTION RINGS [J].
BOURGIN, DG .
DUKE MATHEMATICAL JOURNAL, 1949, 16 (02) :385-397
[6]   THE STABILITY OF THE SINE EQUATION [J].
CHOLEWA, PW .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1983, 88 (04) :631-634
[7]  
Friis P. de P., 2004, AEQUATIONES MATH, V67, P12
[8]   FUNCTIONAL EQUATION F(XY)+F(XY-1)=2F(X)F(Y) FOR GROUPS [J].
KANNAPPAN, P .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1968, 19 (01) :69-+
[9]  
KANNAPPAN PI, 2001, ANN ACAD PAEDAGOGICA, V1, P49
[10]  
Kim G. H., 2006, INTERNAT J IN PRESS
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