NOTES ON THE SUPERSTABILITY OF D'ALEMBERT TYPE FUNCTIONAL EQUATIONS

Title & Authors
NOTES ON THE SUPERSTABILITY OF D'ALEMBERT TYPE FUNCTIONAL EQUATIONS
Cao, Peng; Xu, Bing;

Abstract
In this paper we will investigate the superstability of the generalized d'Alembert type functional equations $\small{{\sum}^m_{i=1}f(x+{{\sigma}^i}(y))}$ = kg(x)f(y) and $\small{{\sum}^m_{i=1}f(x+{{\sigma}^i}(y))}$ = kf(x)g(y).
Keywords
d'Alembert functional equation;superstability;cosine function;
Language
English
Cited by
1.
On the superstability of the pexider type generalized trigonometric functional equations, Acta Mathematica Scientia, 2014, 34, 6, 1749
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