An extension of a Ger’s result



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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Published : 2017-08-05


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

Dan Ştefan Marinescu 
National College Iancu de Hunedoara, Romania  Romania
Mihai Monea  mihaimonea@yahoo.com
National College Decebal & University Politehnica Bucharest, Romania  Romania



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