Results 1 to 10 of about 4,236,155 (127)

A Variant of Jensen’s Functional Equation on Semigroups

Demonstratio Mathematica, 2016
We determine the solutions f : S → H of the following functional ...
Fadli Brahim, Zeglami Driss, Kabbaj Samir   +2 more
doaj   +3 more sources

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

Abstract and Applied Analysis, 2023
In this paper, we study the hyperstability problem for the well-known σ-Jensen’s functional equation fxy+fxσy=2fx 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
M. Sirouni, S. Kabbaj
doaj   +1 more source

On the stability of the squares of some functional equations

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2015
We consider the stability, the superstability and the inverse stability of the functional equations with squares of Cauchy’s, of Jensen’s and of isometry equations and the stability in Ulam-Hyers sense of the alternation of functional equations and of ...
Zenon Moszner
doaj   +1 more source

Asymptotic Behaviors of Set-Valued Cauchy and Jensen Functional Equations [PDF]

Sahand Communications in Mathematical Analysis
Let  $X$ be a normed vector space and $Y$  a Banach space. In this paper, we establish the conditional stability of the set-valued  functionalequations\begin{align*}   & f(x+y)+K=f(x)+f(y), \\  &  2f\left(\frac{x+y}{2}\right)= f(x)+f(y),\\   & 3f\left ...
Mohammad Moghimi, Abbas Najati
doaj   +1 more source

Stability of Euler-Lagrange-Jensen’s (a,b)- Sextic Functional Equation in Multi-Banach Spaces

International Journal of Analysis and Applications, 2018
In this paper, we prove the Hyers-Ulam Stability of Euler-Lagrange-Jensen’s (a,b)-Sextic Functional Equation in Multi-Banach Spaces.
John Michael Rassias, R. Murali, A. Antony Raj   +2 more
doaj   +2 more sources

Fixed point approaches to the stability of Jensen’s functional equation

Open Mathematics
We will investigate the stability problem of the Jensen’s functional equation using Brzdȩk fixed point theorem and fixed point alternative method on non-Archimedean fuzzy normed spaces.
Kang Dongseung, Koh Heejeong
doaj   +1 more source

Stability of Jensen's equations in two normed spaces

Le Matematiche, 2002
Some stability questions of the Jensen's functional inequality in the setting of 2-normed spaces are derived in this article. Few more results are given on approximate isometries.
N. R. Mukherjee
doaj  

On a modified version of Jensen inequality

Journal of Inequalities and Applications, 1999
The right-hand side of the Jensen inequality is multiplied by a constant and the related equation is considered. It is shown that every continuous solution of this equation is of the form for some , .
Szostok Tomasz
doaj  

New Generalizations of Jensen's Functional Equation [PDF]

Proceedings of the American Mathematical Society, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Haruki, Hiroshi, Rassias, Themistocles M.   +1 more
openaire   +3 more sources

On a Local Stability of the Jensen Functional Equation [PDF]

Demonstratio Mathematica, 1989
The problem of stability of Cauohy's functional equation on a restriot domain D in R has a positive answer [5]. In this paper we shall show that Cauchy's functional equation and Jensen's functional equation on a restriot domain D being some subset of R are stable.
Kominek, Zygfryd, Zygíryd Kominek
openaire   +4 more sources