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STABILITY OF FUNCTIONAL EQUATIONS RELATED TO THE EXPONENTIAL AND BETA FUNCTIONS

이영환
한국수학교육학회|2010.11|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제17권 제4호|pp. 363-372

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참고문헌

키워드

exponential functional equationstability of functional equationCauchy functional equationbeta func-tional equationsolution of functional equation
주제분류수학

초록

In this paper we obtain the Hyers-Ulam stability of functional equations f(x + y) = f(x) + f(y) + ln a2xy-¹and f(x + y) = f(x) + f(y) + ln ¯(x; y)-¹which is related to the exponential and beta functions.

Abstract

In this paper we obtain the Hyers-Ulam stability of functional equations f(x + y) = f(x) + f(y) + ln a2xy-¹and f(x + y) = f(x) + f(y) + ln ¯(x; y)-¹which is related to the exponential and beta functions.

참고문헌 (19)

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  11. 김학만, "Hyers--Ulam stability of functional inequalities associated with Cauchy mappings", 충청수학회지, 20(4), pp.503~514 (2007), 충청수학회
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