Sandwich type results for m-convex real functions

Teodoro Lara; Edgar Rosales

Published: 2021-05-26

Vol. 35 No. 2 (2021)

Sandwich type results for m-convex real functions

Teodoro Lara

, Edgar Rosales

Abstract

We establish necessary and sufficient conditions allowing separation of pair of real functions by an m-convex and by an m-affine function. Some examples and a geometric interpretation of m-convexity of a function is exhibited, as well as a Jensen’s inequality for this kind of function.

Keywords:

m-convex function , m-affine function , Jensen type inequality , sandwich theorem

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Lara, T., & Rosales, E. (2021). Sandwich type results for m-convex real functions. Annales Mathematicae Silesianae, 35(2), 250–259. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/13450

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Teodoro Lara

tlara@ula.ve
https://orcid.org/0000-0002-3028-1961

Affiliation:

Departamento de Física y Matemáticas, Universidad de los Andes, Núcleo “Rafael Rangel”, Venezuela Venezuela, Bolivarian Republic of

Edgar Rosales

Affiliation:

Departamento de Física y Matemáticas, Universidad de los Andes, Núcleo “Rafael Rangel”, Venezuela Venezuela, Bolivarian Republic of

Vol. 35 No. 2 (2021)
Published: 2021-09-10

ISSN: 0860-2107

eISSN: 2391-4238

10.1515/amsil

Publisher

University of Silesia Press

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