Zobrazeno 1 - 10
of 45
pro vyhledávání: '"B. Fadli"'
Autor:
Driss Zeglami, B. Fadli
Publikováno v:
Acta Mathematica Hungarica. 165:63-77
We find the solutions $$f,g,h \colon S \to H$$ of the following extension of Pexider's functional equation $$\underset{\lambda\in K}{\sum}f(x+\lambda y)=g(x)+h(y),\quad x,y\in S,$$ where (S,+) is an abelian semigroup, K is a finite subgroup of the au
Publikováno v:
Annales Mathematicae Silesianae, Vol 35, Iss 2, Pp 131-148 (2021)
Inspired by the papers [2, 10] we will study, on 2-divisible groups that need not be abelian, the alienation problem between Drygas’ and the exponential Cauchy functional equations, which is expressed by the equation f ( x + y ) + g ( x + y ) g ( x
Publikováno v:
Aequationes mathematicae. 94:83-96
Let $$(S,+)$$ be an abelian semigroup, let $$\sigma $$ be an involution of S, let X be a linear space over the field $${\mathbb {K}}\in \{{\mathbb {R}},{\mathbb {C}}\}$$ and let $$\mu $$,$$\nu $$ be linear combinations of Dirac measures. In the prese
Publikováno v:
Afrika Matematika. 29:1-22
Let G be a locally compact abelian Hausdorff group, let $$\sigma $$ be a continuous involution on G, and let $$\mu ,\nu $$ be regular, compactly supported, complex-valued Borel measures on G. We determine the continuous solutions $$f,g:G\rightarrow {
Publikováno v:
Aequationes mathematicae. 90:1001-1011
In the present paper, we determine the complex-valued solutions (f, g) of the functional equation $$f(x\sigma(y))+f(\tau(y)x)=2f(x)g(y),$$ in the setting of groups and monoids that need not be abelian, where \({\sigma,\tau}\) are involutive automorph
Publikováno v:
Acta Mathematica Hungarica. 150:363-371
Let S be a semigroup, let H be an abelian group which is 2-torsion free, and let $${\varphi \colon S \to S}$$ be an endomorphism. We determine the solutions $${ g \colon S \to \mathbb{C}}$$ of the functional equation $$g(xy)+g(\varphi(y)x)=2g(x)g(y),
Publikováno v:
Proyecciones (Antofagasta). 35:213-223
We determine the Solutions f : S → H of the generalized Jensen’s functional equation f( x + σ(y)) + f( x + τ(y)) = 2f(x), x , y∈ S and the solutions f : S → H of the generalized quadratic functional equation f ( x + σ(y)) + f (x + τ(y)) =
Autor:
B. Fadli, Driss Zeglami
Publikováno v:
Aequationes mathematicae. 90:967-982
Our main goal is to introduce some integral-type generalizations of the cosine and sine equations for complex-valued functions defined on a group G that need not be abelian. These equations provide a joint generalization of many trigonometric type fu
Publikováno v:
Acta Mathematica Hungarica. 149:170-176
Let S be a semigroup, and let \({\sigma,\tau \in {\rm Hom}(S,S)}\) satisfy \({\tau\circ\tau = \sigma\circ\sigma = \rm{id}}\). We determine the solutions \({f : S \to \mathbb{C}}\) of the functional equation $$f(x\sigma(y)) + f(\tau(y)x) = 2f(x)f(y),\
Publikováno v:
Publicationes Mathematicae Debrecen. 87:415-427