<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

Data publikacji: 24 sie 2018

Zakres stron: 263 - 274

Otrzymano: 09 gru 2016

Przyjęty: 29 maj 2017

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

Słowa kluczowe
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

Data publikacji: 24 sie 2018

Zakres stron: 263 - 274

Otrzymano: 09 gru 2016

Przyjęty: 29 maj 2017

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

Słowa kluczoweconvex 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.

Słowa kluczowe
convex functions, continuous functions, differentiable functions