On Popoviciu-Ionescu Functional Equation

• Autorzy: Jose Maria Almira
• Języki publikacji: EN

Abstrakty

EN

We study a functional equation first proposed by T. Popoviciu [15] in 1955. It was solved for the easiest case by Ionescu [9] in 1956 and, for the general case, by Ghiorcoiasiu and Roscau [7] and Radó [17] in 1962. Our solution is based on a generalization of Radó's theorem to distributions in a higher dimensional setting and, as far as we know, is different than existing solutions. Finally, we propose several related open problems.(original abstract)

Słowa kluczowe

EN

Mathematics; Algebra; Functions; Functional equation

PL

Matematyka; Algebra; Funkcje; Równanie funkcyjne

• Czasopismo: Annales Mathematicae Silesianae
• Rocznik: 2016
• Tom: 30
• Strony: 5--15

Twórcy

autor

Jose Maria Almira

• Universidad de Jaén, Spain

Bibliografia

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Identyfikatory

DOI

0.1515/amsil-2016-0006