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2012 On the Stability of a Parametric Additive Functional Equation in Quasi-Banach Spaces
A. Ebadian, N. Ghobadipour, M. Eshaghi Gordji
Abstr. Appl. Anal. 2012: 1-14 (2012). DOI: 10.1155/2012/235359

Abstract

We investigate the generalized Hyers-Ulam stability of the following functional equation i = 1 m f ( x i ) = 1 / 2 m [ i = 1 m f ( m x i + j = 1 , j i m x j ) + f ( i = 1 m x i ) ] for a fixed positive integer m with m 2 in quasi-Banach spaces.

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A. Ebadian. N. Ghobadipour. M. Eshaghi Gordji. "On the Stability of a Parametric Additive Functional Equation in Quasi-Banach Spaces." Abstr. Appl. Anal. 2012 1 - 14, 2012. https://doi.org/10.1155/2012/235359

Information

Published: 2012
First available in Project Euclid: 14 December 2012

zbMATH: 1237.39029
MathSciNet: MR2910727
Digital Object Identifier: 10.1155/2012/235359

Rights: Copyright © 2012 Hindawi

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