Results 31 to 40 of about 89 (80)

Superstability of functional equations related to spherical functions

Open Mathematics, 2017
In this paper we prove stability-type theorems for functional equations related to spherical functions. Our proofs are based on superstability-type methods and on the method of invariant means.
Székelyhidi László
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On the stability of pexider functional equation in non-archimedean spaces

Journal of Inequalities and Applications, 2011
In this paper, the Hyers-Ulam stability of the Pexider functional equation in a non-Archimedean space is investigated, where σ is an involution in the domain of the given mapping f.
Vaezpour Seiyed, Saadati Reza, Sadeghi Zahra   +2 more
doaj  

Generalized Polynomials on Semigroups

Annales Mathematicae Silesianae
This article has two main parts. In the first part we show that some of the basic theory of generalized polynomials on commutative semi-groups can be extended to all semigroups.
Ebanks Bruce
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On the Alienation of Multiplicative and Additive Functions

Annales Mathematicae Silesianae
Given S a semigroup. We study two Pexider-type functional equations fxy+gxy=fx+fy+gxgy,    x, y∈S,f\left( {xy} \right) + g\left( {xy} \right) = f\left( x \right) + f\left( y \right) + g\left( x \right)g\left( y \right), \;\;\;\;x,\;y \in S, and ...
Chakiri Mohamed, Chahbi Abdellatif, Elqorachi Elhoucien   +2 more
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Approximate multi-Cauchy mappings on certain groupoids

Open Mathematics
In this article, we give a representation of multi-Cauchy mappings on groupoids as an equation and then establish the (Hyers and Găvruţa) stability of such mappings on groupoids.
Park Choonkil, Bodaghi Abasalt, Donganont Mana   +2 more
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A Kannappan-Cosine Functional Equation on Semigroups

Annales Mathematicae Silesianae
In this paper we determine the complex-valued solutions of the Kannappan-cosine functional equation g(xyz0) = g(x)g(y) − f (x)f (y), x, y ∈ S, where S is a semigroup and z0 is a fixed element in S.
Jafar Ahmed, Ajebbar Omar, Elqorachi Elhoucien   +2 more
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On the sum form functional equation related to diversity index

Demonstratio Mathematica
The focal point of this article is to study a functional equation of sum form involving four unknown mappings. We primarily concentrate on exploring all possible solutions of the equation.
Singh Dhiraj Kumar, Grover Shveta
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Cosine and Sine Addition and Subtraction Law with an Automorphism

Annales Mathematicae Silesianae
Let S be a semigroup. Our main results are that we describe the complex-valued solutions of the following functional equations g(xσ(y))=g(x)g(y)+f(x)f(y),x,y∈S,f(xσ(y))=f(x)g(y)+f(y)g(x),x,y∈S,\matrix{ {g\left( {x\sigma \left( y \right)} \right) = g ...
Aserrar Youssef, Elqorachi Elhoucien
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On asymptotic behaviors of a specific cubic functional equation and its hyperstability

Demonstratio Mathematica
In this article, the asymptotic behavior and hyperstability of the cubic functional equation f(2x+y)+f(2x−y)=2f(x+y)+2f(x−y)+12f(x) $$f\left(2x+y\right)+f\left(2x-y\right)=2f\left(x+y\right)+2f\left(x-y\right)+12f\left(x\right)$$ are discussed.
Bae Jae-Hyeong, Najati Abbas, Tareeghee Mohammad Amin   +2 more
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Poisson C*-algebra derivations in Poisson C*-algebras

Demonstratio Mathematica
In this study, we introduce the following additive functional equation:g(λu+v+2y)=λg(u)+g(v)+2g(y)g\left(\lambda u+v+2y)=\lambda g\left(u)+g\left(v)+2g(y) for all λ∈C\lambda \in {\mathbb{C}}, all unitary elements u,vu,v in a unital Poisson C*{C ...
Wang Yongqiao, Park Choonkil, Chang Yuan
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