Certain Fractional Proportional Integral Inequalities via Convex Functions

Gauhar Rahman, Kottakkaran Sooppy Nisar, Thabet Abdeljawad and Samee Ullah
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Gauhar Rahman: Department of Mathematics, Shaheed Benazir Bhutto University, Sheringal, Upper Dir 18000, Pakistan
Kottakkaran Sooppy Nisar: Department of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University, Wadi Aldawaser 11991, Saudi Arabia
Thabet Abdeljawad: Department of Mathematics and General Sciences, Prince Sultan University, Riyadh 12345, Saudi Arabia
Samee Ullah: Department of Mathematics, University of Malakand, Lower Dir 18800, Chakdara, Pakistan

Mathematics, 2020, vol. 8, issue 2, 1-11

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; proportional fractional integrals; inequalities; Qi inequality (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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