An elementary proof for the decomposition theorem of Wright convex functions

Zsolt Páles

Published: 2020-07-09

Vol. 34 No. 1 (2020)

An elementary proof for the decomposition theorem of Wright convex functions

Zsolt Páles

Abstract

The main goal of this paper is to give a completely elementary proof for the decomposition theorem of Wright convex functions which was discovered by C. T. Ng in 1987. In the proof, we do not use transfinite tools, i.e., variants of Rodé’s theorem, or de Bruijn’s theorem related to functions with continuous differences.

Keywords:

Wright convexity , Jensen convexity , decomposition theorem

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Páles, Z. (2020). An elementary proof for the decomposition theorem of Wright convex functions. Annales Mathematicae Silesianae, 34(1), 142–150. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/13639

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Vol. 34 No. 1 (2020)
Published: 2020-07-20

ISSN: 0860-2107

eISSN: 2391-4238

10.1515/amsil

Publisher

University of Silesia Press

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