On Jensen’s and the quadratic functional equations with involutions
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)) = 2f (x) + 2f (y), x, y ∈ S, where S is a commutative semigroup, H is an abelian group (2-torsion free in the first equation and uniquely 2-divisible in the second) and σ, τ are two involutions of S.
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Universidad Católica del Norte, Departamento de Matemáticas
2016
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oai:scielo:S0716-091720160002000062016-05-30On Jensen’s and the quadratic functional equations with involutionsFadli,B.Chahbi,A.El-Fassi,Iz.Kabbaj,S. Functional equation Jensen quadratic additive func-tion semigroup. 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)) = 2f (x) + 2f (y), x, y ∈ S, where S is a commutative semigroup, H is an abelian group (2-torsion free in the first equation and uniquely 2-divisible in the second) and σ, τ are two involutions of S.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.35 n.2 20162016-06-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172016000200006en10.4067/S0716-09172016000200006 |
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| author |
Fadli,B. Chahbi,A. El-Fassi,Iz. Kabbaj,S. |
| spellingShingle |
Fadli,B. Chahbi,A. El-Fassi,Iz. Kabbaj,S. On Jensen’s and the quadratic functional equations with involutions |
| author_facet |
Fadli,B. Chahbi,A. El-Fassi,Iz. Kabbaj,S. |
| author_sort |
Fadli,B. |
| title |
On Jensen’s and the quadratic functional equations with involutions |
| title_short |
On Jensen’s and the quadratic functional equations with involutions |
| title_full |
On Jensen’s and the quadratic functional equations with involutions |
| title_fullStr |
On Jensen’s and the quadratic functional equations with involutions |
| title_full_unstemmed |
On Jensen’s and the quadratic functional equations with involutions |
| title_sort |
on jensen’s and the quadratic functional equations with involutions |
| description |
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)) = 2f (x) + 2f (y), x, y ∈ S, where S is a commutative semigroup, H is an abelian group (2-torsion free in the first equation and uniquely 2-divisible in the second) and σ, τ are two involutions of S. |
| publisher |
Universidad Católica del Norte, Departamento de Matemáticas |
| publishDate |
2016 |
| url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172016000200006 |
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