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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.17 No.4

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ON THE SUPERSTABILITY OF SOME PEXIDER TYPE FUNCTIONAL EQUATION II

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2010, v.17 no.4, pp.397-411
Kim, Gwang-Hui
Kim,, G. (2010). ON THE SUPERSTABILITY OF SOME PEXIDER TYPE FUNCTIONAL EQUATION II. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 17(4), 397-411.

Abstract

In this paper, we will investigate the superstability for the sine functional equation from the following Pexider type functional equation: <TEX>$f(x+y)-g(x-y)={\lambda}{\cdot}h(x)k(y)$</TEX> <TEX>${\lambda}$</TEX>: constant, which can be considered an exponential type functional equation, the mixed functional equation of the trigonometric function, the mixed functional equation of the hyperbolic function, and the Jensen type equation.

keywords
stability, superstability, functional equation, d'Alembert equation, (hyperbolic) cosine functional equation

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