Ulam Stability of a Quartic Functional Equation

Abasalt Bodaghi, Idham Arif Alias and Mohammad Hosein Ghahramani

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

Abstract: The oldest quartic functional equation was introduced by J. M. Rassias in (1999), and then was employed by other authors. The functional equation f(2x + y) + f(2x − y) = 4f(x + y) + 4f(x − y) + 24f(x) − 6f(y) is called a quartic functional equation, all of its solution is said to be a quartic function. In the current paper, the Hyers‐Ulam stability and the superstability for quartic functional equations are established by using the fixed‐point alternative theorem.

Date: 2012
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https://doi.org/10.1155/2012/232630

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:232630

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