On the Stability of the Functional Equation g(x+y+xy)=g(x)+f(y)+xf(y)+yg(x)

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

2020, v.27 no.1, pp.51-60

https://doi.org/https://doi.org/10.7468/jksmeb.2020.27.1.51

Jung, Yong-Soo (Department of Mathematics, Sun Moon University)

Jung, Yong-Soo. (2020). ON THE STABILITY OF THE FUNCTIONAL EQUATION g(x + y + xy) = g(x) + f(y) + xf(y) + yg(x). 한국수학교육학회지시리즈B:순수및응용수학, 27(1), 51-60, https://doi.org/https://doi.org/10.7468/jksmeb.2020.27.1.51

복사

Abstract

In this note, we investigate the Hyers-Ulam stability and the hyperstability of the Pexider type functional equation g(x + y + xy) = g(x) + f(y) + xf(y) + yg(x).

keywords: Pexider type functional equation, stability

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논문 상세

Vol.27 No.1

ON THE STABILITY OF THE FUNCTIONAL EQUATION g(x + y + xy) = g(x) + f(y) + xf(y) + yg(x)

On the Stability of the Functional Equation g(x+y+xy)=g(x)+f(y)+xf(y)+yg(x)

Abstract

한국수학교육학회지시리즈B:순수및응용수학