Stability of the Cosine–Sine Functional Equation on Amenable Groups

Ajebbar Omar () and Elqorachi Elhoucien ()
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Ajebbar Omar: University Ibn Zohr, Department of Mathematics, Faculty of Sciences
Elqorachi Elhoucien: University Ibn Zohr, Department of Mathematics, Faculty of Sciences

A chapter in Approximation Theory and Analytic Inequalities, 2021, pp 355-378 from Springer

Abstract: Abstract In this paper, we establish the stability of the functional equation f ( x y ) = f ( x ) g ( y ) + g ( x ) f ( y ) + h ( x ) h ( y ) $$\displaystyle f(xy)=f(x)g(y)+g(x)f(y)+h(x)h(y) $$ on amenable groups.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-60622-0_19

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DOI: 10.1007/978-3-030-60622-0_19

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