On Popoviciu-Ionescu Functional Equation

• Autorzy: Jose M. 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.

Słowa kluczowe

EN

functional equations; exponential polynomials on Abelian groups; Montel type theorem

Kategorie tematyczne

• 39A70: Difference operators
• 39B22: Equations for real functions
• 39B52: Equations for functions with more general domains and/or ranges

• Wydawca: De Gruyter Open
• Czasopismo: Annales Mathematicae Silesianae
• Rocznik: 2016
• Tom: 30
• Numer: 1
• Strony: 5-15

Daty

wydano

2016-09-01

otrzymano

2016-03-31

poprawiono

2016-05-14

zaakceptowano

2016-05-19

online

2016-09-23

Twórcy

autor

Jose M. Almira

• Departamento de Matemáticas, Universidad de Jaén, E.P.S. Linares, Campus Científico Tecnológico de Linares, Cinturón Sur s/n, 23700 Linares,

Identyfikatory

DOI

10.1515/amsil-2016-0006