Weighted version of Hermite–Hadamard type inequalities for geometrically quasi-convex functions and their applications

This paper presents new weighted Hermite–Hadamard type inequalities for a new class of convex functions which are known as geometrically quasi-convex functions. Some applications of these results to special means of positive real numbers have also been presented. These findings have been proved to b...

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Detalles Bibliográficos
Autores principales: Obeidat, Sofian, Latif, Muhammad Amer
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6244744/
https://www.ncbi.nlm.nih.gov/pubmed/30839800
http://dx.doi.org/10.1186/s13660-018-1904-7
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author Obeidat, Sofian
Latif, Muhammad Amer
author_facet Obeidat, Sofian
Latif, Muhammad Amer
author_sort Obeidat, Sofian
collection PubMed
description This paper presents new weighted Hermite–Hadamard type inequalities for a new class of convex functions which are known as geometrically quasi-convex functions. Some applications of these results to special means of positive real numbers have also been presented. These findings have been proved to be useful for researchers working in the fields of numerical analysis and mathematical inequalities.
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spelling pubmed-62447442018-12-04 Weighted version of Hermite–Hadamard type inequalities for geometrically quasi-convex functions and their applications Obeidat, Sofian Latif, Muhammad Amer J Inequal Appl Research This paper presents new weighted Hermite–Hadamard type inequalities for a new class of convex functions which are known as geometrically quasi-convex functions. Some applications of these results to special means of positive real numbers have also been presented. These findings have been proved to be useful for researchers working in the fields of numerical analysis and mathematical inequalities. Springer International Publishing 2018-11-12 2018 /pmc/articles/PMC6244744/ /pubmed/30839800 http://dx.doi.org/10.1186/s13660-018-1904-7 Text en © The Author(s) 2018 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Obeidat, Sofian
Latif, Muhammad Amer
Weighted version of Hermite–Hadamard type inequalities for geometrically quasi-convex functions and their applications
title Weighted version of Hermite–Hadamard type inequalities for geometrically quasi-convex functions and their applications
title_full Weighted version of Hermite–Hadamard type inequalities for geometrically quasi-convex functions and their applications
title_fullStr Weighted version of Hermite–Hadamard type inequalities for geometrically quasi-convex functions and their applications
title_full_unstemmed Weighted version of Hermite–Hadamard type inequalities for geometrically quasi-convex functions and their applications
title_short Weighted version of Hermite–Hadamard type inequalities for geometrically quasi-convex functions and their applications
title_sort weighted version of hermite–hadamard type inequalities for geometrically quasi-convex functions and their applications
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6244744/
https://www.ncbi.nlm.nih.gov/pubmed/30839800
http://dx.doi.org/10.1186/s13660-018-1904-7
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