Results 101 to 110 of about 400 (125)

Functional Equations with an Anti-Endomorphism for Functions with Multidimensional Codomains

open access: yesAnnales Mathematicae Silesianae
Let S be a semigroup, ℍ be the skew field of quaternions, and ψ: S → S be an anti-endomorphism. We determine the general solution of the functional equation g(xy)-g(xψ(y))=2g(x)g(y),          x, y∈S,g\left( {xy} \right) - g\left( {x\psi \left( y \right)}
Ouhabi Ayoub   +2 more
doaj   +1 more source

On approximation of approximately generalized quadratic functional equation via Lipschitz criteria

open access: yesQuaestiones Mathematicae, 2019
Let G be an Abelian group with a metric d and E ba a normed space. For any f : G → E we define the generalized quadratic difference of the function f by the formulaQkf(x, y) := f(x + ky) + f(x - ky) - f(x + y) - f(x - y) - 2(k2 - 1) f(y)for all x, y ∈ G ...
Iz-Iddine El-Fassi
exaly   +1 more source

Stability of a Jensen type functional equation

Banach Journal of Mathematical Analysis, 2007
Young-Su Lee, Soon-Yeong Chung
exaly  

On some functional equations and their stability

Journal of Interdisciplinary Mathematics, 2020
Abbas Najati, Prasanna K Sahoo
exaly  

Cosine functions revisited

Banach Journal of Mathematical Analysis, 2011
Dilian Yang
exaly  

On a functional equation related to some entropies in information theory

Journal of Discrete Mathematical Sciences and Cryptography, 2018
Dhiraj Kumar Singh, Pranav Dass
exaly  

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