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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, 2006Won-Gil Park
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Hyers–Ulam–Rassias Stability of a Jensen Type Functional Equation
Journal of Mathematical Analysis and Applications, 2000Tiberiu Trif
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ON THE SOLUTIONS OF A BI-JENSEN FUNCTIONAL EQUATION AND ITS STABILITY
Bulletin of the Korean Mathematical Society, 2006Jae Hyeong Bae, Won-Gil Park
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Intuitionistic fuzzy stability of a Jensen functional equation via fixed point technique
Mathematical and Computer Modelling, 2011Murat Cancan, S A Mohiuddine
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Stability of homomorphisms for a 3D Cauchy–Jensen type functional equation on C∗-ternary algebras
Journal of Mathematical Analysis and Applications, 2008Abbas Najati, Asghar Ranjbari
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Hyperstability of the Jensen functional equation in ultrametric spaces
Aequationes Mathematicae, 2017Abdellatif Chahbi +2 more
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Stability of a quadratic Jensen type functional equation in the spaces of generalized functions
Journal of Mathematical Analysis and Applications, 2006Soon-Yeong Chung, Young-Su Lee
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