<abstract xmlns="http://www.w3.org/1999/xhtml"><p> The aim of this paper is to extend a result presented by Roman Ger during the 15th International Conference on Functional Equations and Inequalities. First, we present some necessary and sufficient conditions for a continuous function to be convex. We will use these to extend Ger’s result. Finally, we make some connections with other mathematical notions, as g-convex dominated function or Bregman distance.</p></abstract>

The aim of this paper is to extend a result presented by Roman Ger during the 15th International Conference on Functional Equations and Inequalities. First, we present some necessary and sufficient conditions for a continuous function to be convex. We will use these to extend Ger’s result. Finally, we make some connections with other mathematical notions, as g-convex dominated function or Bregman distance.

An Extension of a Ger’s Result

Annales Mathematicae Silesianae

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"An Extension of a Ger\u2019s Result"}

The aim of this paper is to extend a result presented by Roman Ger during the 15th International Conference on Functional Equations and Inequalities. First, we...

An Extension of a Ger’s Result

Published Online: Aug 24, 2018

Page range: 263 - 274

Received: Dec 09, 2016

Accepted: May 29, 2017

DOI: https://doi.org/10.1515/amsil-2017-0008

Keywords
convex functions, continuous functions, differentiable functions

© 2018 Dan Stefan Marinescu, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

An Extension of a Ger’s Result

Published Online: Aug 24, 2018

Page range: 263 - 274

Received: Dec 09, 2016

Accepted: May 29, 2017

DOI: https://doi.org/10.1515/amsil-2017-0008

Keywordsconvex functions, continuous functions, differentiable functions

© 2018 Dan Stefan Marinescu, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
convex functions, continuous functions, differentiable functions