Some Hermite-Hadamard Type Inequalities for Harmonically s-Convex Functions

We establish some estimates of the right-hand side of Hermite-Hadamard type inequalities for functions whose derivatives absolute values are harmonically s-convex. Several Hermite-Hadamard type inequalities for products of two harmonically s-convex functions are also considered.

Detalles Bibliográficos
Autores principales: Chen, Feixiang, Wu, Shanhe
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4140118/
https://www.ncbi.nlm.nih.gov/pubmed/25165737
http://dx.doi.org/10.1155/2014/279158
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author Chen, Feixiang
Wu, Shanhe
author_facet Chen, Feixiang
Wu, Shanhe
author_sort Chen, Feixiang
collection PubMed
description We establish some estimates of the right-hand side of Hermite-Hadamard type inequalities for functions whose derivatives absolute values are harmonically s-convex. Several Hermite-Hadamard type inequalities for products of two harmonically s-convex functions are also considered.
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spelling pubmed-41401182014-08-27 Some Hermite-Hadamard Type Inequalities for Harmonically s-Convex Functions Chen, Feixiang Wu, Shanhe ScientificWorldJournal Research Article We establish some estimates of the right-hand side of Hermite-Hadamard type inequalities for functions whose derivatives absolute values are harmonically s-convex. Several Hermite-Hadamard type inequalities for products of two harmonically s-convex functions are also considered. Hindawi Publishing Corporation 2014 2014-07-24 /pmc/articles/PMC4140118/ /pubmed/25165737 http://dx.doi.org/10.1155/2014/279158 Text en Copyright © 2014 F. Chen and S. Wu. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Chen, Feixiang
Wu, Shanhe
Some Hermite-Hadamard Type Inequalities for Harmonically s-Convex Functions
title Some Hermite-Hadamard Type Inequalities for Harmonically s-Convex Functions
title_full Some Hermite-Hadamard Type Inequalities for Harmonically s-Convex Functions
title_fullStr Some Hermite-Hadamard Type Inequalities for Harmonically s-Convex Functions
title_full_unstemmed Some Hermite-Hadamard Type Inequalities for Harmonically s-Convex Functions
title_short Some Hermite-Hadamard Type Inequalities for Harmonically s-Convex Functions
title_sort some hermite-hadamard type inequalities for harmonically s-convex functions
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4140118/
https://www.ncbi.nlm.nih.gov/pubmed/25165737
http://dx.doi.org/10.1155/2014/279158
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AT wushanhe somehermitehadamardtypeinequalitiesforharmonicallysconvexfunctions

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