Results 1 to 10 of about 6,556 (147)

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   +7 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

On the stability of Jensen’s functional equation on groups [PDF]

Proceedings of the Indian Academy of Sciences: Mathematical Sciences, 2007
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
Sahoo Prasanna K
exaly   +3 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

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

Stability of a Jensen type functional equation

Banach Journal of Mathematical Analysis, 2007
The authors solve the following Jensen type functional equation \[ mf\left(\frac{x+y+z}{m}\right)+f(x)+f(y)+f(z)= n \left[ f\left(\frac{x+y}{n}\right) + f\left(\frac{y+z}{n}\right) + f\left(\frac{z+x}{n}\right)\right], \] where \(m\) and \(n\) are nonnegative integers with \((m,n)\neq (1,1)\).
Soon-Yeong Chung, Young-Su Lee
exaly   +4 more sources

ON THE STABILITY OF A CAUCHY-JENSEN FUNCTIONAL EQUATION

Communications of the Korean Mathematical Society, 2008
In this paper, we prove the stability of a Cauchy-Jensen functional equation =f(x, z)+f(x, w)+f(y, z)+f(y, w) in the sense of Th. M. Rassias.
Yang-Hi Lee, Kil-Woung Jun
exaly   +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

The Stability of Generalized Jordan Derivations Associated with Hochschild 2-Cocycles of Triangular Algebras

Fuzzy Optimization and Modeling, 2022
In present paper, the stability of generalized Jordan derivations associated with Hochschild 2-cocycles of triangular algebras for the generalized kind of Jensen-type functional equation is investigated.
Rohollah Bakhshandeh, Isa Bakhshandeh
doaj   +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