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

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.

Bibliographic Details
Main Authors: Chen, Feixiang, Wu, Shanhe
Format: Online
Language:English
Published: Hindawi Publishing Corporation 2014
Online Access:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4140118/
id pubmed-4140118
recordtype oai_dc
spelling pubmed-41401182014-08-27 Some Hermite-Hadamard Type Inequalities for Harmonically s-Convex Functions Chen, Feixiang Wu, Shanhe 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.
repository_type Open Access Journal
institution_category Foreign Institution
institution US National Center for Biotechnology Information
building NCBI PubMed
collection Online Access
language English
format Online
author Chen, Feixiang
Wu, Shanhe
spellingShingle Chen, Feixiang
Wu, Shanhe
Some Hermite-Hadamard Type Inequalities for Harmonically s-Convex Functions
author_facet Chen, Feixiang
Wu, Shanhe
author_sort Chen, Feixiang
title Some Hermite-Hadamard Type Inequalities for Harmonically s-Convex Functions
title_short 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_sort some hermite-hadamard type inequalities for harmonically s-convex functions
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.
publisher Hindawi Publishing Corporation
publishDate 2014
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4140118/
_version_ 1613126273125580800

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