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2009 On the Generalized Hyers-Ulam-Rassias Stability of Quadratic Functional Equations
M. Eshaghi Gordji, H. Khodaei
Abstr. Appl. Anal. 2009: 1-11 (2009). DOI: 10.1155/2009/923476

Abstract

We achieve the general solution and the generalized Hyers-Ulam-Rassias and Ulam-Gavruta-Rassias stabilities for quadratic functional equations f(ax+by)+f(axby)=(b(a+b)/2)f(x+y)+ (b(a+b)/2)f(xy)+ (2a2abb2)f(x)+ (b2ab)f(y) where a, b are nonzero fixed integers with b±a,3a, and f(ax+by)+f(axby)=2a2f(x)+2b2f(y) for fixed integers a, b with a,b0 and a±b0.

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M. Eshaghi Gordji. H. Khodaei. "On the Generalized Hyers-Ulam-Rassias Stability of Quadratic Functional Equations." Abstr. Appl. Anal. 2009 1 - 11, 2009. https://doi.org/10.1155/2009/923476

Information

Published: 2009
First available in Project Euclid: 16 March 2010

zbMATH: 1167.39014
MathSciNet: MR2516012
Digital Object Identifier: 10.1155/2009/923476

Rights: Copyright © 2009 Hindawi

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