Ulam’s Type Stability of Involutional‐Exponential Functional Equations

Jaeyoung Chung

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: Let S be a commutative semigroup, f,g:S→C and σ : S → S an involution. In this paper we consider the stability of involution‐exponential functional equations |f(x + σy) − g(x)f(y)| ≤ ϕ(x)[resp, ϕ(y)], | f(x + σy) − f(x)g(y)| ≤ ϕ(x) [resp, ϕ(y)] for all x, y ∈ S, where ϕ:S→R+ satisfies the growth condition: there exists C > 1 such that limk→∞C−kϕ(kx) = 0 for each x ∈ S. We also consider the stability of L∞‐version |f(x+σy)-f(x)f(y)|L∞(R2n)≤ϵ, where f:Rn→C is a locally integrable function.

Date: 2014
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2014/763914

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:2014:y:2014:i:1:n:763914

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 ().