An Elementary Proof for the Decomposition Theorem of Wright Convex Functions

Zsolt Páles

doi:10.2478/amsil-2020-0010

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An Elementary Proof for the Decomposition Theorem of Wright Convex Functions

Annales Mathematicae Silesianae

Volume 34 (2020): Issue 1 (July 2020)

By: Zsolt Páles

Open Access

|Jul 2020

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.

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Articles in this issue

DOI: https://doi.org/10.2478/amsil-2020-0010 | Journal eISSN: 2391-4238 | Journal ISSN: 0860-2107

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Language: English

Page range: 142 - 150

Submitted on: Dec 31, 2019

Accepted on: Jun 3, 2020

Published on: Jul 9, 2020

Published by: University of Silesia in Katowice, Institute of Mathematics

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

Wright convexity,

Jensen convexity,

decomposition theorem

Related subjects:

Mathematics,

General mathematics

© 2020 Zsolt Páles, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution 4.0 License.

Volume 34 (2020): Issue 1 (July 2020)