On the Stability of Jensen's Functional Equation on Groups
Valeriĭ A Faĭziev Prasanna K Sahoo
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In this paper we establish the stability of Jensen’s functional equation on some classes of groups. We prove that Jensen equation is stable on noncommutative groups such as metabelian groups and $T(2,K)$, where 𝐾 is an arbitrary commutative field with characteristic different from two. We also prove that any group 𝐴 can be embedded into some group 𝐺 such that the Jensen functional equation is stable on 𝐺.
Valeriĭ A Faĭziev1 Prasanna K Sahoo2
Volume 132, 2022
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