Integral Inequalities via Generalized Geometrically r-Convex Functions

Integral Inequalities via Generalized Geometrically r-Convex Functions

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In this paper, we introduce and investigate a new class of generalized convex functions, called generalized geometrically r-convex functions. Some new Hermite-Hadamard integral inequalities via generalized geometrically r-convex functions have been established. Results proved in this paper can be vi...

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Main Authors: Muhammad Aslam Noor, Khalida Inayat Noor, Farhat Safdar
Format: Article
Language:English
Published: Etamaths Publishing 2018-11-01
Series:International Journal of Analysis and Applications
Online Access:http://www.etamaths.com/index.php/ijaa/article/view/1754
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spelling doaj-76ed797b304a4b82a1c14684b3cb94012020-11-25T00:27:13ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392018-11-01166868881347Integral Inequalities via Generalized Geometrically r-Convex FunctionsMuhammad Aslam Noor0Khalida Inayat NoorFarhat SafdarCOMSATS University Iaslamabad, IslamabadIn this paper, we introduce and investigate a new class of generalized convex functions, called generalized geometrically r-convex functions. Some new Hermite-Hadamard integral inequalities via generalized geometrically r-convex functions have been established. Results proved in this paper can be viewed as new significant contributions in this area of research.http://www.etamaths.com/index.php/ijaa/article/view/1754
collection DOAJ
language English
format Article
sources DOAJ
author Muhammad Aslam Noor
Khalida Inayat Noor
Farhat Safdar
spellingShingle Muhammad Aslam Noor
Khalida Inayat Noor
Farhat Safdar
Integral Inequalities via Generalized Geometrically r-Convex Functions
International Journal of Analysis and Applications
author_facet Muhammad Aslam Noor
Khalida Inayat Noor
Farhat Safdar
author_sort Muhammad Aslam Noor
title Integral Inequalities via Generalized Geometrically r-Convex Functions
title_short Integral Inequalities via Generalized Geometrically r-Convex Functions
title_full Integral Inequalities via Generalized Geometrically r-Convex Functions
title_fullStr Integral Inequalities via Generalized Geometrically r-Convex Functions
title_full_unstemmed Integral Inequalities via Generalized Geometrically r-Convex Functions
title_sort integral inequalities via generalized geometrically r-convex functions
publisher Etamaths Publishing
series International Journal of Analysis and Applications
issn 2291-8639
publishDate 2018-11-01
description In this paper, we introduce and investigate a new class of generalized convex functions, called generalized geometrically r-convex functions. Some new Hermite-Hadamard integral inequalities via generalized geometrically r-convex functions have been established. Results proved in this paper can be viewed as new significant contributions in this area of research.
url http://www.etamaths.com/index.php/ijaa/article/view/1754
work_keys_str_mv AT muhammadaslamnoor integralinequalitiesviageneralizedgeometricallyrconvexfunctions
AT khalidainayatnoor integralinequalitiesviageneralizedgeometricallyrconvexfunctions
AT farhatsafdar integralinequalitiesviageneralizedgeometricallyrconvexfunctions
_version_ 1725341061049483264

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