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  • 한국과학기술정보연구원(KISTI) 서울분원 대회의실(별관 3층)
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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

ON THE SUPERSTABILITY OF SOME PEXIDER TYPE FUNCTIONAL EQUATION II

한국수학교육학회지시리즈B:순수및응용수학 / 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 (Department of Mathematics, Kangnam University)
Kim, Gwang-Hui. (2010). ON THE SUPERSTABILITY OF SOME PEXIDER TYPE FUNCTIONAL EQUATION II. 한국수학교육학회지시리즈B:순수및응용수학, 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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한국수학교육학회지시리즈B:순수및응용수학

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