<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

Publié en ligne: 09 juil. 2020

Pages: 142 - 150

Reçu: 31 déc. 2019

Accepté: 03 juin 2020

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

Mots clés
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

Publié en ligne: 09 juil. 2020

Pages: 142 - 150

Reçu: 31 déc. 2019

Accepté: 03 juin 2020

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

Mots clésWright convexity, Jensen convexity, decomposition theorem

© 2020 Zsolt Páles, published by Sciendo

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

Mots clés
Wright convexity, Jensen convexity, decomposition theorem