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ON THE STABILITY OF THE COSINE TYPE FUNCTIONAL EQUATION

On the Stability of the Cosine Type Functional Equation

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2007, v.14 no.1, pp.7-14
Kim, Gwang-Hui (DEPARTMENT OF MATHEMATICS, KANGNAM UNIVERSITY)

Abstract

The aim of this paper is to study the superstability problem of the cosine type functional equation f(x+y)+f(x+<TEX>${\sigma}y$</TEX>)=2g(x)g(y).

keywords
stability, superstability, functional equation, sine functional equation

한국수학교육학회지시리즈B:순수및응용수학