Published: 1991-09-30

Theorem of Bernstein-Doetsh in Baire spaces

Zygfryd Kominek , Marek Kuczma

Abstract

Theorem of Bernstein and Doetsch is one of the most important in the theory of convex (or convex in the sense of Jensen) functions. In this paper it is shown that the original proof of Bernstein and Doetsch of this theorem can be adapted in a more general situation. Also some parts of the proof may be of interest for themselves.

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Kominek, Z., & Kuczma, M. (1991). Theorem of Bernstein-Doetsh in Baire spaces. Annales Mathematicae Silesianae, 5, 10–17. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/14276

Domyślna okładka

Vol. 5 (1991)
Published: 1991-09-30


ISSN: 0860-2107
eISSN: 2391-4238
Ikona DOI 10.1515/amsil

Publisher
University of Silesia Press

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