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Stability of a mixed additive and cubic functional equation in quasi-Banach spaces
Authors:Abbas Najati
Affiliation:a Faculty of Sciences, Department of Mathematics, University of Mohaghegh Ardabili, Ardabil, Iran
b Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran
Abstract:
In this paper we establish the general solution and investigate the Hyers-Ulam-Rassias stability of the following functional equation
f(2x+y)+f(2xy)=2f(x+y)+2f(xy)+2[f(2x)−2f(x)]
Keywords:Hyers-Ulam-Rassias stability   Additive mapping   Cubic mapping   Quasi-Banach space   p-Banach space
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