On Popoviciu-Ionescu functional equation
Journal Title: Annales Mathematicae Silesianae - Year 2016, Vol 30, Issue
Abstract
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.
Authors and Affiliations
Jose M. Almira
Keywords
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- EP ID EP230420
- DOI 10.1515/amsil-2016-0006
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