<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

An Elementary Proof for the Decomposition Theorem of Wright Convex Functions

Annales Mathematicae Silesianae

This work is licensed under the Creative Commons Attribution 4.0 International License.

{"article-title":"An Elementary Proof for the Decomposition Theorem of Wright Convex Functions"}

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...

An Elementary Proof for the Decomposition Theorem of Wright Convex Functions

Published Online: Jul 09, 2020

Page range: 142 - 150

Received: Dec 31, 2019

Accepted: Jun 03, 2020

DOI: https://doi.org/10.2478/amsil-2020-0010

Keywords
Wright convexity, Jensen convexity, decomposition theorem

© 2020 Zsolt Páles, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

An Elementary Proof for the Decomposition Theorem of Wright Convex Functions

Published Online: Jul 09, 2020

Page range: 142 - 150

Received: Dec 31, 2019

Accepted: Jun 03, 2020

DOI: https://doi.org/10.2478/amsil-2020-0010

KeywordsWright convexity, Jensen convexity, decomposition theorem

© 2020 Zsolt Páles, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
Wright convexity, Jensen convexity, decomposition theorem