On the Stability of a Parametric Additive Functional Equation in Quasi‐Banach Spaces

A. Ebadian, N. Ghobadipour and M. Eshaghi Gordji

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

Abstract: We investigate the generalized Hyers‐Ulam stability of the following functional equation ∑i=1mf(xi)=12/m[∑i=1mf(mxi+∑j=1,j≠imxj)+f(∑i=1mxi)] for a fixed positive integer m with m ≥ 2 in quasi‐Banach spaces.

Date: 2012
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https://doi.org/10.1155/2012/235359

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:235359

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