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Stability of Jensen functional equation on semigroups
Authors:Valeri? A. Fa?ziev  Thomas Riedel
Affiliation:a Tver State Agricultural Academy, Tver Sakharovo, Russia
b Department of Mathematics, University of Louisville, Louisville, KY 40292, USA
Abstract:In this paper we introduce a Jensen type functional equation on semigroups and study the Hyers-Ulam stability of this equation. It is proved that every semigroup can be embedded into a semigroup in which the Jensen equation is stable.
Keywords:Banach spaces   Semidirect product of semigroups   Stability   Wreath product
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