Stability of Wilson's functional equations with involutions

被引：3
|
作者：
Chung, Jaeyoung [1 ]
Sahoo, Prasanna K. [2 ]
机构：
[1] Kunsan Natl Univ, Dept Math, Kunsan 573701, South Korea
[2] Univ Louisville, Dept Math, Louisville, KY 40292 USA
来源：
AEQUATIONES MATHEMATICAE | 2015年 / 89卷 / 03期
基金：
新加坡国家研究基金会;
关键词：
d'Alembert's functional equation; involution; stability; Wilson's functional equation;
D O I：
10.1007/s00010-014-0262-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let S be a commutative semigroup, the set of complex numbers, the set of nonnegative real numbers, an involution. In this article, we consider the stability of the Wilson's functional equations with involution, namely and for all in the spirit of Badora and Ger (Functional equations-results and advances, pp 3-15, 2002). As consequences of our results, we obtain the superstability of functional equations studied by Chung et al. (J Math Anal Appl 138:208-292, 1989), Chavez and Sahoo (Appl Math Lett 24:344-347, 2011) and Houston and Sahoo (Appl Math Lett 21:974-977, 2008).
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页码：749 / 763
页数：15
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