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ON THE SUPERSTABILITY OF SOME PEXIDER TYPE FUNCTIONAL EQUATION II

김광휘
한국수학교육학회|2010.11|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제17권 제4호|pp. 397-411

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참고문헌

키워드

stabilityfunctional equationsuperstabilityd'Alembert equation(hy-perbolic) cosine functional equation
주제분류수학

초록

In this paper, we will investigate the superstability for the sine func-tional equation from the following Pexider type functional equation :f(x + y) ¡ g(x ¡ y) = λ·h(x)k(y) λ : constant;which can be considered an exponential type functional equation, the mixed func-tional equation of the trigonometric function, the mixed functional equation of the hyperbolic function, and the Jensen type equation.

Abstract

In this paper, we will investigate the superstability for the sine func-tional equation from the following Pexider type functional equation :f(x + y) ¡ g(x ¡ y) = λ·h(x)k(y) λ : constant;which can be considered an exponential type functional equation, the mixed func-tional equation of the trigonometric function, the mixed functional equation of the hyperbolic function, and the Jensen type equation.

참고문헌 (24)

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