On the E‐Hyperstability of the Inhomogeneous σ‐Jensen’s Functional Equation on Semigroups

M. Sirouni and S. Kabbaj

Abstract and Applied Analysis, 2023, vol. 2023, issue 1

Abstract: In this paper, we study the hyperstability problem for the well‐known σ‐Jensen’s functional equation f(xy) + f(xσ(y)) = 2f(x) for all x, y ∈ S, where S is a semigroup and σ is an involution of S. We present sufficient conditions on E⊂ℝ+S2 so that the inhomogeneous form of σ‐Jensen’s functional equation f(xy) + f(xσ(y)) = 2f(x) + φ(x, y) for all x, y ∈ S, where the inhomogeneity φ is given, can be E‐hyperstable on S.

Date: 2023
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2023/1749302

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2023:y:2023:i:1:n:1749302

Access Statistics for this article

More articles in Abstract and Applied Analysis from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().