An Extension of a Ger’s Result

Dan Ştefan Marinescu; Mihai Monea

doi:10.1515/amsil-2017-0008

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An Extension of a Ger’s Result

Annales Mathematicae Silesianae

Volume 32 (2018): Issue 1 (September 2018)

By: Dan Ştefan Marinescu and Mihai Monea

Open Access

|Aug 2018

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.

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Articles in this issue

DOI: https://doi.org/10.1515/amsil-2017-0008 | Journal eISSN: 2391-4238 | Journal ISSN: 0860-2107

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Language: English

Page range: 263 - 274

Submitted on: Dec 9, 2016

Accepted on: May 29, 2017

Published on: Aug 24, 2018

Published by: University of Silesia in Katowice, Institute of Mathematics

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

convex functions,

continuous functions,

differentiable functions

Related subjects:

Mathematics,

General mathematics

© 2018 Dan Ştefan Marinescu, Mihai Monea, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 32 (2018): Issue 1 (September 2018)