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Bull. Korean Math. Soc. 2010; 47(3): 491-502

Printed May 1, 2010

https://doi.org/10.4134/BKMS.2010.47.3.491

Copyright © The Korean Mathematical Society.

Stability of a functional equation deriving from quartic and additive functions

Madjid Eshaghi Gordji

Semnan University

Abstract

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In this paper, we obtain the general solution and the generalized Hyers-Ulam Rassias stability of the functional equation $$f(2x+y)+f(2x-y)=4(f(x+y)+f(x-y))-\frac{3}{7}(f(2y)-2f(y))+2f(2x)-8f(x)$.$$

Keywords: Hyers-Ulam-Rassias stability

MSC numbers: 39B82, 39B52

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