m-Convex Functions of Higher Order

Teodoro Lara; Nelson Merentes; Edgar Rosales

doi:10.2478/amsil-2019-0013

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m-Convex Functions of Higher Order

Annales Mathematicae Silesianae

Volume 34 (2020): Issue 2 (September 2020)

By: Teodoro Lara, Nelson Merentes and Edgar Rosales

Open Access

|Dec 2019

Abstract

In this research we introduce the concept of m-convex function of higher order by means of the so called m-divided difference; elementary properties of this type of functions are exhibited and some examples are provided.

References

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Articles in this issue

DOI: https://doi.org/10.2478/amsil-2019-0013 | Journal eISSN: 2391-4238 | Journal ISSN: 0860-2107

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Language: English

Page range: 241 - 255

Submitted on: Mar 29, 2019

Accepted on: Oct 26, 2019

Published on: Dec 11, 2019

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,

-convex functions of higher order,

difference operator,

-divided difference,

positively homogeneous function

Related subjects:

Mathematics,

General mathematics

© 2019 Teodoro Lara, Nelson Merentes, Edgar Rosales, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution 4.0 License.

Volume 34 (2020): Issue 2 (September 2020)