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An Elementary Proof for the Decomposition Theorem of Wright Convex Functions Cover

An Elementary Proof for the Decomposition Theorem of Wright Convex Functions

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.

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

© 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.