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paper

Hyers-Ulam stability of Jensen functional equation on amenable semigroups

arXiv:1406.3623

Abstract

In this paper, we give a proof of the Hyers-Ulam stability of the Jensen functional equation $$f(xy)+f(xσ(y))=2f(x),\phantom{+} x,y\in{G},$$ where $G$ is an amenable semigroup and $σ$ is an involution of $G.$

7 pages