APPROXIMATE PEXIDERIZED EXPONENTIAL TYPE FUNCTIONS

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081

2012, v.19 no.2, pp.193-198

https://doi.org/10.7468/jksmeb.2012.19.2.193

Lee, Young-Whan (Department of Computer Hacking and Information Security, College of Natural Science, Daejeon University)

Lee, Young-Whan. (2012). APPROXIMATE PEXIDERIZED EXPONENTIAL TYPE FUNCTIONS. 한국수학교육학회지시리즈B:순수및응용수학, 19(2), 193-198, https://doi.org/10.7468/jksmeb.2012.19.2.193

복사

Abstract

We show that every unbounded approximate Pexiderized exponential type function has the exponential type. That is, we obtain the superstability of the Pexiderized exponential type functional equation <TEX>$$f(x+y)=e(x,y)g(x)h(y)$$</TEX>. From this result, we have the superstability of the exponential functional equation <TEX>$$f(x+y)=f(x)f(y)$$</TEX>.

keywords: functional equation, stability, superstability, gamma and beta functional equation, Cauchy functional equation, exponential functional equation

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논문 상세

Vol.19 No.2

APPROXIMATE PEXIDERIZED EXPONENTIAL TYPE FUNCTIONS

APPROXIMATE PEXIDERIZED EXPONENTIAL TYPE FUNCTIONS

Abstract

참고문헌

한국수학교육학회지시리즈B:순수및응용수학