On a class of functional equations which includes the Pexider's one
| Autor: | Driss Zeglami, B. Fadli |
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| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Acta Mathematica Hungarica. 165:63-77 |
| ISSN: | 1588-2632 0236-5294 |
| Popis: | 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 automorphism group of S and (H,+) is an abelian group. |
| Databáze: | OpenAIRE |
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