A Generalization of m-Convexity and a Sandwich Theorem

Teodoro Lara; Janusz Matkowski; Nelson Merentes; Roy Quintero; Małgorzata Wróbel

doi:10.1515/amsil-2017-0003

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A Generalization of m-Convexity and a Sandwich Theorem

Annales Mathematicae Silesianae

Volume 31 (2017): Issue 1 (September 2017)

By: Teodoro Lara, Janusz Matkowski, Nelson Merentes, Roy Quintero and Małgorzata Wróbel

Open Access

|Sep 2017

Abstract

Functional inequalities generalizing m-convexity are considered. A result of a sandwich type is proved. Some applications are indicated.

References

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Articles in this issue

DOI: https://doi.org/10.1515/amsil-2017-0003 | Journal eISSN: 2391-4238 | Journal ISSN: 0860-2107

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Language: English

Page range: 107 - 126

Submitted on: Oct 4, 2016

Accepted on: Feb 21, 2017

Published on: Sep 13, 2017

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

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

convexity,

convexity with respect to a function,

m-convexity,

functional inequality,

functional equation,

sandwich theorem,

a characterization of Lp-norm

Related subjects:

Mathematics,

General mathematics

© 2017 Teodoro Lara, Janusz Matkowski, Nelson Merentes, Roy Quintero, Małgorzata Wróbel, 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 31 (2017): Issue 1 (September 2017)