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arXiv · 1406.3623

Hyers-Ulam stability of Jensen functional equation on amenable semigroups

Bouikhalene Belaid·Elqorachi Elhoucien
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Abstract

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

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Bouikhalene Belaid, Elqorachi Elhoucien. 2014-06-13. Hyers-Ulam stability of Jensen functional equation on amenable semigroups. https://arxiv.org/abs/1406.3623

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