General Cubic‐Quartic Functional Equation

M. Eshaghi Gordji, M. Kamyar and Th. M. Rassias

Abstract and Applied Analysis, 2011, vol. 2011, issue 1

Abstract: We obtain the general solution and the generalized Hyers‐Ulam stability of the general cubic‐quartic functional equation for fixed integers k with k ≠ 0, ±1: f(x+ky) + f(x − ky) = k2(f(x+y) + f(x − y)) + 2(1 − k2)f(x)+((k4 − k2)/4)(f(2y) − 8f(y))+f˜(2x)−16f˜(x), where f˜(x):=f(x)+f(−x).

Date: 2011
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https://doi.org/10.1155/2011/463164

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:463164

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