Ulam Stability of a Quartic Functional Equation

Abasalt Bodaghi, Idham Arif Alias and Mohammad Hosein Ghahramani

Abstract and Applied Analysis, 2012, vol. 2012, 1-9

Abstract:

The oldest quartic functional equation was introduced by J. M. Rassias in (1999), and then was employed by other authors. The functional equation 𠑓 ( 2 𠑥 + 𠑦 ) + 𠑓 ( 2 𠑥 − 𠑦 ) = 4 𠑓 ( 𠑥 + 𠑦 ) + 4 𠑓 ( 𠑥 − 𠑦 ) + 2 4 𠑓 ( 𠑥 ) − 6 𠑓 ( 𠑦 ) 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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:232630

DOI: 10.1155/2012/232630

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