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

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

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

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Veröffentlicht in:Abstract and Applied Analysis 2012-01, Vol.2012, p.183-196-111
Hauptverfasser: Ebadian, A., Ghobadipour, N., Eshaghi Gordji, M.
Format: Artikel
Sprache:eng
Schlagworte:
Additives
Algorithms
Banach spaces
Inequality
Integers
Mathematical analysis
Mathematical models
Stability
Studies
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Zusammenfassung:We investigate the generalized Hyers-Ulam stability of the following functional equation ∑i=1mf(xi)=1/2m[∑i=1mf(mxi+∑j=1,j≠imxj)+f(∑i=1mxi)] for a fixed positive integer m with m≥2 in quasi-Banach spaces.
ISSN:1085-3375
1687-0409
DOI:10.1155/2012/235359