Hermite-Hadamard type fractional integral inequalities for geometric-geometric convex functions

By utilizing two  fractional integral identities and elementaryinequalities via geometric-geometric (GG for short) convex functions, we derive new type Hermite-Hadamard inequalities involving Hadamard fractional integrals. Some applications to special means of real numbers are given.

Bibliographic Details
Main Authors: Shenda Liu, JinRong Wang
Format: Article
Language:English
Published: Università degli Studi di Catania 2015-05-01
Series:Le Matematiche
Subjects:
Online Access:http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/1095
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spelling doaj-5e2edbad31b24b1e9663c2e2fdb030e82020-11-25T01:50:39ZengUniversità degli Studi di CataniaLe Matematiche0373-35052037-52982015-05-01701320925Hermite-Hadamard type fractional integral inequalities for geometric-geometric convex functionsShenda Liu0JinRong Wang1Guizhou UniversityGuizhou UniversityBy utilizing two  fractional integral identities and elementaryinequalities via geometric-geometric (GG for short) convex functions, we derive new type Hermite-Hadamard inequalities involving Hadamard fractional integrals. Some applications to special means of real numbers are given.http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/1095Hermite-Hadamard inequalitiesHadamard fractional integralsGG-convex functions
collection DOAJ
language English
format Article
sources DOAJ
author Shenda Liu
JinRong Wang
spellingShingle Shenda Liu
JinRong Wang
Hermite-Hadamard type fractional integral inequalities for geometric-geometric convex functions
Le Matematiche
Hermite-Hadamard inequalities
Hadamard fractional integrals
GG-convex functions
author_facet Shenda Liu
JinRong Wang
author_sort Shenda Liu
title Hermite-Hadamard type fractional integral inequalities for geometric-geometric convex functions
title_short Hermite-Hadamard type fractional integral inequalities for geometric-geometric convex functions
title_full Hermite-Hadamard type fractional integral inequalities for geometric-geometric convex functions
title_fullStr Hermite-Hadamard type fractional integral inequalities for geometric-geometric convex functions
title_full_unstemmed Hermite-Hadamard type fractional integral inequalities for geometric-geometric convex functions
title_sort hermite-hadamard type fractional integral inequalities for geometric-geometric convex functions
publisher Università degli Studi di Catania
series Le Matematiche
issn 0373-3505
2037-5298
publishDate 2015-05-01
description By utilizing two  fractional integral identities and elementaryinequalities via geometric-geometric (GG for short) convex functions, we derive new type Hermite-Hadamard inequalities involving Hadamard fractional integrals. Some applications to special means of real numbers are given.
topic Hermite-Hadamard inequalities
Hadamard fractional integrals
GG-convex functions
url http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/1095
work_keys_str_mv AT shendaliu hermitehadamardtypefractionalintegralinequalitiesforgeometricgeometricconvexfunctions
AT jinrongwang hermitehadamardtypefractionalintegralinequalitiesforgeometricgeometricconvexfunctions
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