On the characterization of Jensen m-convex polynomials

Teodoro Lara; Nelson Merentes; Roy Quintero; Edgar Rosales

doi:10.1515/mjpaa-2017-0012

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On the characterization of Jensen m-convex polynomials

Moroccan Journal of Pure and Applied Analysis

Volume 3 (2017): Issue 2 (December 2017)

By: Teodoro Lara, Nelson Merentes, Roy Quintero and Edgar Rosales

Open Access

|Jul 2018

Abstract

The main objective of this research is to characterize all the real polynomial functions of degree less than the fourth which are Jensen m-convex on the set of non-negative real numbers. In the first section, it is established for that class of functions what conditions must satisfy a particular polynomial in order to be starshaped on the same set. Finally, both kinds of results are combined in order to find examples of either Jensen m-convex functions which are not starshaped or viceversa.

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Articles in this issue

DOI: https://doi.org/10.1515/mjpaa-2017-0012 | Journal eISSN: 2351-8227

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Language: English

Page range: 140 - 148

Submitted on: Sep 15, 2017

Accepted on: May 10, 2018

Published on: Jul 28, 2018

Published by: Sciendo

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

Real polynomial function,

starshaped function,

m-convex function,

Jensen mconvex function

Related subjects:

Mathematics,

Analysis,

Differential equations and dynamical systems,

Probability and statistics,

Numerical and computational mathematics

© 2018 Teodoro Lara, Nelson Merentes, Roy Quintero, Edgar Rosales, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 3 (2017): Issue 2 (December 2017)