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Open AccessArticle

Certain Fractional Proportional Integral Inequalities via Convex Functions

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Department of Mathematics, Shaheed Benazir Bhutto University, Sheringal, Upper Dir 18000, Pakistan
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Department of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University, Wadi Aldawaser 11991, Saudi Arabia
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Department of Mathematics and General Sciences, Prince Sultan University, Riyadh 12345, Saudi Arabia
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Department of Medical Research, China Medical University, Taichung 40402, Taiwan
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Department of Computer Science and Information Engineering, Asia University, Taichung 40402, Taiwan
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Department of Mathematics, University of Malakand, Chakdara 18800, Lower Dir, Pakistan
*
Authors to whom correspondence should be addressed.
Mathematics 2020, 8(2), 222; https://doi.org/10.3390/math8020222
Received: 27 December 2019 / Revised: 5 February 2020 / Accepted: 6 February 2020 / Published: 9 February 2020
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; proportional fractional integrals; inequalities; Qi inequality convex function; fractional integrals; proportional fractional integrals; inequalities; Qi inequality
MDPI and ACS Style

Rahman, G.; Nisar, K.S.; Abdeljawad, T.; Ullah, S. Certain Fractional Proportional Integral Inequalities via Convex Functions. Mathematics 2020, 8, 222.

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