Prasanna K Sahoo
Articles written in Proceedings – Mathematical Sciences
Volume 114 Issue 3 August 2004 pp 253-267
Superstability of the generalized orthogonality equation on restricted domains
Chmielinski has proved in the paper [4] the superstability of the generalized orthogonality equation ¦〈f(
Volume 117 Issue 1 February 2007 pp 31-48
On the Stability of Jensen's Functional Equation on Groups
Valeriĭ A Faĭziev Prasanna K Sahoo
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.
Volume 133, 2023
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