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pro vyhledávání: '"Kh. Sabour"'
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),
Autor:
Kh. Sabour, Samir Kabbaj
Publikováno v:
Proyecciones (Antofagasta) v.36 n.1 2017
SciELO Chile
CONICYT Chile
instacron:CONICYT
SciELO Chile
CONICYT Chile
instacron:CONICYT
We determine the solutions f : S → H of the generalized Jensen’s functional equation f (x + y) + f (x + φ(y)) = 2f (x), x,y ∈ S, and the solutions f : S → H of the generalized quadratic functional equation f (x + y) + f (x + φ(y)) = 2f (x)
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::823e6a6993cb9c69a38f7026c2be1bfd
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172017000100010
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172017000100010