An extension of a Ger’s result

Dan Ştefan Marinescu; Mihai Monea

Published: 2017-08-05

Vol. 32 (2018)

An extension of a Ger’s result

Dan Ştefan Marinescu , Mihai Monea

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.

Keywords:

convex functions , continuous functions , differentiable functions

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Marinescu, D. Ştefan, & Monea, M. (2017). An extension of a Ger’s result. Annales Mathematicae Silesianae, 32, 263–274. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/13925

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Dan Ştefan Marinescu

Affiliation:

National College Iancu de Hunedoara, Romania Romania

Mihai Monea

mihaimonea@yahoo.com

Affiliation:

National College Decebal & University Politehnica Bucharest, Romania Romania

Vol. 32 (2018)
Published: 2018-08-24

ISSN: 0860-2107

eISSN: 2391-4238

10.1515/amsil

Publisher

University of Silesia Press

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