[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.11568/kjm.2021.29.4.765

SUPERSTABILITY OF THE p-RADICAL TRIGONOMETRIC FUNCTIONAL EQUATION

Kim, Gwang Hui (Department of Mathematics, Kangnam University)

Publication Information

Korean Journal of Mathematics / v.29, no.4, 2021 , pp. 765-774 More about this Journal

Abstract

In this paper, we solve and investigate the superstability of the p-radical functional equations $f(\sqrt[p]{x^p+y^p})-f(\sqrt[p]{x^p-y^p})={\lambda}f(x)g(y),\\f(\sqrt[p]{x^p+y^p})-f(\sqrt[p]{x^p-y^p})={\lambda}g(x)f(y),$ which is related to the trigonometric(Kim's type) functional equations, where p is an odd positive integer and f is a complex valued function. Furthermore, the results are extended to Banach algebras.

Keywords

superstability; p-radical equation; cosine functional equation; sine functional equation; Wilson equation; Kim equation;

Citations & Related Records

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