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Alternative jensen functional equation on groups

Given integers α, β, γ such that (α, β, γ) ̸= k(1,−2, 1) for all k ∈ Z, we will establish a criterion for the existence of the general solution of the alternative Jensen functional equation of the form f(xy^{−1}) − 2f(x) + f(xy) = 0 or αf(xy^{−1}) + βf(x) + γf(xy) = 0, where f is a mapping from a group (G, ·) to a uniquely divisible abelian group (H, +)
openaire   +1 more source

On a Cauchy–Jensen functional equation and its stability

Journal of Mathematical Analysis and Applications, 2006
Won-Gil Park
exaly  

Hyers–Ulam–Rassias Stability of a Jensen Type Functional Equation

Journal of Mathematical Analysis and Applications, 2000
Tiberiu Trif
exaly  

ON THE SOLUTIONS OF A BI-JENSEN FUNCTIONAL EQUATION AND ITS STABILITY

Bulletin of the Korean Mathematical Society, 2006
Jae Hyeong Bae, Won-Gil Park
exaly  

Intuitionistic fuzzy stability of a Jensen functional equation via fixed point technique

Mathematical and Computer Modelling, 2011
Murat Cancan, S A Mohiuddine
exaly  

Stability of homomorphisms for a 3D Cauchy–Jensen type functional equation on C∗-ternary algebras

Journal of Mathematical Analysis and Applications, 2008
Abbas Najati, Asghar Ranjbari
exaly  

Hyperstability of the Jensen functional equation in ultrametric spaces

Aequationes Mathematicae, 2017
Abdellatif Chahbi   +2 more
exaly  

Stability of a quadratic Jensen type functional equation in the spaces of generalized functions

Journal of Mathematical Analysis and Applications, 2006
Soon-Yeong Chung, Young-Su Lee
exaly  

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