Results 1 to 10 of about 153,554 (187)

Stability of a Bi-Jensen Functional Equation on Restricted Unbounded Domains and Some Asymptotic Behaviors

Mathematics, 2022
In this paper, we give some properties of the bi-Jensen functional equation and investigate its Hyers–Ulam stability and hyperstability. We construct a function which is bi-Jensen and is not continuous.
Jae-Hyeong Bae, Mohammad Amin Tareeghee, Abbas Najati   +2 more
doaj   +5 more sources

Approximation of the generalized Cauchy–Jensen functional equation in C∗ $C^{*}$-algebras [PDF]

Journal of Inequalities and Applications, 2018
In this paper, we prove Hyers–Ulam–Rassias stability of C∗ $C^{*}$-algebra homomorphisms for the following generalized Cauchy–Jensen equation: αμf(x+yα+z)=f(μx)+f(μy)+αf(μz), $$ \alpha\mu f \biggl(\frac{x+y}{\alpha}+z \biggr) = f(\mu x) + f(\mu y ...
Prondanai Kaskasem, Chakkrid Klin-eam
doaj   +2 more sources

Generalized Jensen functional equation on restricted domain [PDF]

Annals of the West University of Timisoara: Mathematics and Computer Science, 2014
We prove the Hyers-Ulam stability on restricted domains of generalized Jensen functional ...
Chahbi Abdellatif, Almahalebi Muaadh, Chari Ahmed, Kabbaj Samir   +3 more
doaj   +2 more sources

The Jensen functional equation in non-Archimedean normed spaces [PDF]

Journal of Function Spaces and Applications, 2009
We investigate the Hyers–Ulam–Rassias stability of the Jensen functional equation in non-Archimedean normed spaces and study its asymptotic behavior in two directions: bounded and unbounded Jensen differences.
Mohammad Sal Moslehian
doaj   +2 more sources

Intuitionistic fuzzy almost Cauchy–Jensen mappings

Demonstratio Mathematica, 2016
In this paper, we first investigate the Hyers–Ulam stability of the generalized Cauchy–Jensen functional equation of p-variable f(∑i=1paixi)=∑i=1paif(xi)$f\left(\sum\nolimits_{i = 1}^p {a_i x_i } \right) = \sum\nolimits_{i = 1}^p {a_i f(x_i )}$ in an ...
Gordji M. E., Abbaszadeh S.
doaj   +3 more sources

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   +1 more source

Ulam Stability of Jensen Functional Inequality on a Class of Noncommutative Groups

Journal of Function Spaces, 2023
In the paper, we introduce new ρ-functional inequalities related to the Jensen functional equation and some properties. The Hyers-Ulam stability of functional inequalities is proved.
Gang Lu, Wenlong Sun, Yuanfeng Jin, Qi Liu   +3 more
doaj   +1 more source

Asymptotic behavior of a generalized functional equation

AIMS Mathematics, 2022
In this paper, we investigate the Hyers-Ulam stability problem of the following functional equation $ f(x+y)+g(x-y) = h(x)+k(y), $ on an unbounded restricted domain, which generalizes some of the results already obtained by other authors (for ...
Mohammad Amin Tareeghee, Abbas Najati, Batool Noori , Choonkil Park   +3 more
doaj   +1 more source

Approximation of involution in multi-Banach algebras: Fixed point technique

AIMS Mathematics, 2021
In this research work, we demonstrate the Hyers-Ulam stability for Cauchy-Jensen functional equation in multi-Banach algebras by the fixed point technique. In fact, we prove that for a function which is approximately Cauchy-Jensen in multi Banach algebra,
Ehsan Movahednia, Choonkil Park, Dong Yun Shin   +2 more
doaj   +1 more source

Functional Differential Equations and Jensen’s Inequality [PDF]

Journal of Mathematical Analysis and Applications, 1987
The authors study various types of stability of the functional differential equations \(x'(t)=F(t,x_ t)\) where \(x_ t(s)=x(t+s),\)- h\(\leq s\leq 0\), and h is a positive constant. The main tool is the Lyapunov functionals. These functionals satisfy certain conditions involving functions which verify Jensen's inequality.
Becker, Leigh C, Burton, T.A, Zhang, Shunian   +2 more
openaire   +1 more source