Hermite-Hadamard Type Inequalities for Superquadratic Functions via Fractional Integrals

Hermite-Hadamard Type Inequalities for Superquadratic Functions via Fractional Integrals

We use basic properties of superquadratic functions to obtain some new Hermite-Hadamard type inequalities via Riemann-Liouville fractional integrals. For superquadratic functions which are also convex, we get refinements of existing results.

Bibliographic Details
Main Authors: Guangzhou Li, Feixiang Chen
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/851271
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spelling doaj-745f2ad3f5524694a53ba1aeadff28442020-11-24T23:33:59ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/851271851271Hermite-Hadamard Type Inequalities for Superquadratic Functions via Fractional IntegralsGuangzhou Li0Feixiang Chen1Department of Sports and Health, Chongqing Three Gorges University, Wanzhou, Chongqing 404000, ChinaSchool of Mathematics and Statistics, Chongqing Three Gorges University, Wanzhou, Chongqing 404000, ChinaWe use basic properties of superquadratic functions to obtain some new Hermite-Hadamard type inequalities via Riemann-Liouville fractional integrals. For superquadratic functions which are also convex, we get refinements of existing results.http://dx.doi.org/10.1155/2014/851271
collection DOAJ
language English
format Article
sources DOAJ
author Guangzhou Li
Feixiang Chen
spellingShingle Guangzhou Li
Feixiang Chen
Hermite-Hadamard Type Inequalities for Superquadratic Functions via Fractional Integrals
Abstract and Applied Analysis
author_facet Guangzhou Li
Feixiang Chen
author_sort Guangzhou Li
title Hermite-Hadamard Type Inequalities for Superquadratic Functions via Fractional Integrals
title_short Hermite-Hadamard Type Inequalities for Superquadratic Functions via Fractional Integrals
title_full Hermite-Hadamard Type Inequalities for Superquadratic Functions via Fractional Integrals
title_fullStr Hermite-Hadamard Type Inequalities for Superquadratic Functions via Fractional Integrals
title_full_unstemmed Hermite-Hadamard Type Inequalities for Superquadratic Functions via Fractional Integrals
title_sort hermite-hadamard type inequalities for superquadratic functions via fractional integrals
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2014-01-01
description We use basic properties of superquadratic functions to obtain some new Hermite-Hadamard type inequalities via Riemann-Liouville fractional integrals. For superquadratic functions which are also convex, we get refinements of existing results.
url http://dx.doi.org/10.1155/2014/851271
work_keys_str_mv AT guangzhouli hermitehadamardtypeinequalitiesforsuperquadraticfunctionsviafractionalintegrals
AT feixiangchen hermitehadamardtypeinequalitiesforsuperquadraticfunctionsviafractionalintegrals
_version_ 1725530121106882560

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