Akkaoui, A. and Fatini, M.E. and Fadli, B. and Zeglami, D. (2019) Nice results about quadratic type functional equations on semigroups. Aequationes Mathematicae.

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Abstract

Let (S, + ) be an abelian semigroup, let σ be an involution of S, let X be a linear space over the field K∈ R, C and let μ,ν be linear combinations of Dirac measures. In the present paper, we find the general solution f: S→ X of the following functional equation ∫Sf(x+y+t)dμ(t)+∫Sf(x+σ(y)+t)dν(t)=f(x)+f(y),x,y∈S,in terms of additive and bi-additive maps. Many consequences of this result are presented. © 2019, Springer Nature Switzerland AG.

Item Type: Article
Subjects: Mathematics
Divisions: SCIENTIFIC PRODUCTION > Mathematics
Depositing User: Administrateur Eprints Administrateur Eprints
Last Modified: 31 Jan 2020 15:48
URI: http://eprints.umi.ac.ma/id/eprint/3865

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