Abstract and Applied Analysis

Ulam Stability of a Quartic Functional Equation

Abasalt Bodaghi, Idham Arif Alias, and Mohammad Hosein Ghahramani

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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 ( 2 x + y ) + f ( 2 x - y ) = 4 f ( x + y ) + 4 f ( x - y ) + 24 f ( x ) - 6 f ( 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.

Article information

Source
Abstr. Appl. Anal., Volume 2012, Special Issue (2012), Article ID 232630, 9 pages.

Dates
First available in Project Euclid: 7 May 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1399487784

Digital Object Identifier
doi:10.1155/2012/232630

Mathematical Reviews number (MathSciNet)
MR2914887

Zentralblatt MATH identifier
1237.39026

Citation

Bodaghi, Abasalt; Alias, Idham Arif; Ghahramani, Mohammad Hosein. Ulam Stability of a Quartic Functional Equation. Abstr. Appl. Anal. 2012, Special Issue (2012), Article ID 232630, 9 pages. doi:10.1155/2012/232630. https://projecteuclid.org/euclid.aaa/1399487784


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