Certain fractional proportional integral inequalities via convex functions

Gauhar Rahman; Kottakkaran Sooppy Nisar; Thabet Abdeljawad; Samee Ullah

doi:10.3390/math8020222

Certain fractional proportional integral inequalities via convex functions

Gauhar Rahman
, Kottakkaran Sooppy Nisar
, Thabet Abdeljawad
, Samee Ullah

Mathematics

Research output: Contribution to journal › Article › peer-review

22 Scopus citations

Abstract

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.

Original language	English
Article number	222
Journal	Mathematics
Volume	8
Issue number	2
DOIs	https://doi.org/10.3390/math8020222
State	Published - 1 Feb 2020

Keywords

Convex function
Fractional integrals
Inequalities
Proportional fractional integrals
Qi inequality

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10.3390/math8020222

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title = "Certain fractional proportional integral inequalities via convex functions",

abstract = "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.",

keywords = "Convex function, Fractional integrals, Inequalities, Proportional fractional integrals, Qi inequality",

author = "Gauhar Rahman and Nisar, \{Kottakkaran Sooppy\} and Thabet Abdeljawad and Samee Ullah",

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AU - Rahman, Gauhar

AU - Nisar, Kottakkaran Sooppy

AU - Abdeljawad, Thabet

AU - Ullah, Samee

PY - 2020/2/1

Y1 - 2020/2/1

N2 - 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.

AB - 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.

KW - Convex function

KW - Fractional integrals

KW - Inequalities

KW - Proportional fractional integrals

KW - Qi inequality

UR - https://www.scopus.com/pages/publications/85080121840

U2 - 10.3390/math8020222

DO - 10.3390/math8020222

M3 - Article

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SN - 2227-7390

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JO - Mathematics

JF - Mathematics

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ER -

Certain fractional proportional integral inequalities via convex functions

Abstract

Keywords

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