ON THE STABILITY OF A JENSEN TYPE FUNCTIONAL EQUATION ON GROUPS

Title & Authors
ON THE STABILITY OF A JENSEN TYPE FUNCTIONAL EQUATION ON GROUPS
FAIZIEV VALERH A.; SAHOO PRASANNA K.;

Abstract
In this paper we establish the stability of a Jensen type functional equation, namely f(xy) - f($\small{xy^{-1}}$) = 2f(y), on some classes of groups. We prove that any group A can be embedded into some group G such that the Jensen type functional equation is stable on G. We also prove that the Jensen type functional equation is stable on any metabelian group, GL(n, $\small{\mathbb{C}}$), SL(n, $\small{\mathbb{C}}$), and T(n, $\small{\mathbb{C}}$).
Keywords
Language
English
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