Certain Fractional Proportional Integral Inequalities via Convex Functions

Certain Fractional Proportional Integral Inequalities via Convex Functions

The goal of this article is to establish some fractional proportional integral inequalities for convex functions by employing proportional fractional integral operators. In addition, we establish some classical integral inequalities as the special cases of our main findings.

Bibliographic Details
Main Authors: Gauhar Rahman, Kottakkaran Sooppy Nisar, Thabet Abdeljawad, Samee Ullah
Format: Article
Language:English
Published: MDPI AG 2020-02-01
Series:Mathematics
Subjects:
convex function
fractional integrals
proportional fractional integrals
inequalities
qi inequality
Online Access:https://www.mdpi.com/2227-7390/8/2/222
id doaj-4038f96a167746d3b72260819bade82a
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spelling doaj-4038f96a167746d3b72260819bade82a2020-11-25T01:30:41ZengMDPI AGMathematics2227-73902020-02-018222210.3390/math8020222math8020222Certain Fractional Proportional Integral Inequalities via Convex FunctionsGauhar Rahman0Kottakkaran Sooppy Nisar1Thabet Abdeljawad2Samee Ullah3Department of Mathematics, Shaheed Benazir Bhutto University, Sheringal, Upper Dir 18000, PakistanDepartment of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University, Wadi Aldawaser 11991, Saudi ArabiaDepartment of Mathematics and General Sciences, Prince Sultan University, Riyadh 12345, Saudi ArabiaDepartment of Mathematics, University of Malakand, Lower Dir 18800, Chakdara, PakistanThe goal of this article is to establish some fractional proportional integral inequalities for convex functions by employing proportional fractional integral operators. In addition, we establish some classical integral inequalities as the special cases of our main findings.https://www.mdpi.com/2227-7390/8/2/222convex functionfractional integralsproportional fractional integralsinequalitiesqi inequality
collection DOAJ
language English
format Article
sources DOAJ
author Gauhar Rahman
Kottakkaran Sooppy Nisar
Thabet Abdeljawad
Samee Ullah
spellingShingle Gauhar Rahman
Kottakkaran Sooppy Nisar
Thabet Abdeljawad
Samee Ullah
Certain Fractional Proportional Integral Inequalities via Convex Functions
Mathematics
convex function
fractional integrals
proportional fractional integrals
inequalities
qi inequality
author_facet Gauhar Rahman
Kottakkaran Sooppy Nisar
Thabet Abdeljawad
Samee Ullah
author_sort Gauhar Rahman
title Certain Fractional Proportional Integral Inequalities via Convex Functions
title_short Certain Fractional Proportional Integral Inequalities via Convex Functions
title_full Certain Fractional Proportional Integral Inequalities via Convex Functions
title_fullStr Certain Fractional Proportional Integral Inequalities via Convex Functions
title_full_unstemmed Certain Fractional Proportional Integral Inequalities via Convex Functions
title_sort certain fractional proportional integral inequalities via convex functions
publisher MDPI AG
series Mathematics
issn 2227-7390
publishDate 2020-02-01
description The goal of this article is to establish some fractional proportional integral inequalities for convex functions by employing proportional fractional integral operators. In addition, we establish some classical integral inequalities as the special cases of our main findings.
topic convex function
fractional integrals
proportional fractional integrals
inequalities
qi inequality
url https://www.mdpi.com/2227-7390/8/2/222
work_keys_str_mv AT gauharrahman certainfractionalproportionalintegralinequalitiesviaconvexfunctions
AT kottakkaransooppynisar certainfractionalproportionalintegralinequalitiesviaconvexfunctions
AT thabetabdeljawad certainfractionalproportionalintegralinequalitiesviaconvexfunctions
AT sameeullah certainfractionalproportionalintegralinequalitiesviaconvexfunctions
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