Some Integral Inequalities of Hermite-Hadamard Type for Convex Functions with Applications to Means

Some Integral Inequalities of Hermite-Hadamard Type for Convex Functions with Applications to Means

The authors establish some new inequalities for differentiable convex functions, which are similar to the celebrated Hermite-Hadamard's integral inequality for convex functions, and apply these inequalities to construct inequalities for special means of two positive numbers.

Bibliographic Details
Main Authors: Bo-Yan Xi, Feng Qi
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2012/980438
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spelling doaj-9b38afdc7fc44cd9a78aead57408d7ff2020-11-24T22:58:55ZengHindawi LimitedJournal of Function Spaces and Applications0972-68021758-49652012-01-01201210.1155/2012/980438980438Some Integral Inequalities of Hermite-Hadamard Type for Convex Functions with Applications to MeansBo-Yan Xi0Feng Qi1College of Mathematics, Inner Mongolia University for Nationalities, Tongliao City 028043, ChinaSchool of Mathematics and Informatics, Henan Polytechnic University, Henan Province, Jiaozuo City 454010, ChinaThe authors establish some new inequalities for differentiable convex functions, which are similar to the celebrated Hermite-Hadamard's integral inequality for convex functions, and apply these inequalities to construct inequalities for special means of two positive numbers.http://dx.doi.org/10.1155/2012/980438
collection DOAJ
language English
format Article
sources DOAJ
author Bo-Yan Xi
Feng Qi
spellingShingle Bo-Yan Xi
Feng Qi
Some Integral Inequalities of Hermite-Hadamard Type for Convex Functions with Applications to Means
Journal of Function Spaces and Applications
author_facet Bo-Yan Xi
Feng Qi
author_sort Bo-Yan Xi
title Some Integral Inequalities of Hermite-Hadamard Type for Convex Functions with Applications to Means
title_short Some Integral Inequalities of Hermite-Hadamard Type for Convex Functions with Applications to Means
title_full Some Integral Inequalities of Hermite-Hadamard Type for Convex Functions with Applications to Means
title_fullStr Some Integral Inequalities of Hermite-Hadamard Type for Convex Functions with Applications to Means
title_full_unstemmed Some Integral Inequalities of Hermite-Hadamard Type for Convex Functions with Applications to Means
title_sort some integral inequalities of hermite-hadamard type for convex functions with applications to means
publisher Hindawi Limited
series Journal of Function Spaces and Applications
issn 0972-6802
1758-4965
publishDate 2012-01-01
description The authors establish some new inequalities for differentiable convex functions, which are similar to the celebrated Hermite-Hadamard's integral inequality for convex functions, and apply these inequalities to construct inequalities for special means of two positive numbers.
url http://dx.doi.org/10.1155/2012/980438
work_keys_str_mv AT boyanxi someintegralinequalitiesofhermitehadamardtypeforconvexfunctionswithapplicationstomeans
AT fengqi someintegralinequalitiesofhermitehadamardtypeforconvexfunctionswithapplicationstomeans
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