Parametrized inequality of Hermite-Hadamard type for functions whose third derivative absolute values are quasi-convex

In this paper we present some inequalities of Hermite-Hadamard type for functions whose third derivative absolute values are quasi-convex. Moreover, an application to special means of real numbers is also considered.

Detalles Bibliográficos
Autores principales: Wu, Shan-He, Sroysang, Banyat, Xie, Jin-Shan, Chu, Yu-Ming
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2015
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4695491/
https://www.ncbi.nlm.nih.gov/pubmed/26753118
http://dx.doi.org/10.1186/s40064-015-1633-z
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author Wu, Shan-He
Sroysang, Banyat
Xie, Jin-Shan
Chu, Yu-Ming
author_facet Wu, Shan-He
Sroysang, Banyat
Xie, Jin-Shan
Chu, Yu-Ming
author_sort Wu, Shan-He
collection PubMed
description In this paper we present some inequalities of Hermite-Hadamard type for functions whose third derivative absolute values are quasi-convex. Moreover, an application to special means of real numbers is also considered.
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spelling pubmed-46954912016-01-08 Parametrized inequality of Hermite-Hadamard type for functions whose third derivative absolute values are quasi-convex Wu, Shan-He Sroysang, Banyat Xie, Jin-Shan Chu, Yu-Ming Springerplus Research In this paper we present some inequalities of Hermite-Hadamard type for functions whose third derivative absolute values are quasi-convex. Moreover, an application to special means of real numbers is also considered. Springer International Publishing 2015-12-30 /pmc/articles/PMC4695491/ /pubmed/26753118 http://dx.doi.org/10.1186/s40064-015-1633-z Text en © Wu et al. 2015 Open AccessThis 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
Wu, Shan-He
Sroysang, Banyat
Xie, Jin-Shan
Chu, Yu-Ming
Parametrized inequality of Hermite-Hadamard type for functions whose third derivative absolute values are quasi-convex
title Parametrized inequality of Hermite-Hadamard type for functions whose third derivative absolute values are quasi-convex
title_full Parametrized inequality of Hermite-Hadamard type for functions whose third derivative absolute values are quasi-convex
title_fullStr Parametrized inequality of Hermite-Hadamard type for functions whose third derivative absolute values are quasi-convex
title_full_unstemmed Parametrized inequality of Hermite-Hadamard type for functions whose third derivative absolute values are quasi-convex
title_short Parametrized inequality of Hermite-Hadamard type for functions whose third derivative absolute values are quasi-convex
title_sort parametrized inequality of hermite-hadamard type for functions whose third derivative absolute values are quasi-convex
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4695491/
https://www.ncbi.nlm.nih.gov/pubmed/26753118
http://dx.doi.org/10.1186/s40064-015-1633-z
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