New Hadamard-type integral inequalities via a general form of fractional integral operators

Saad Ihsan Butt, Saba Yousaf, Ahmet Ocak Akdemir and Mustafa Ali Dokuyucu

Chaos, Solitons & Fractals, 2021, vol. 148, issue C

Abstract: The main motivation in this article is to prove a new and general integral identity and to obtain new integral inequalities of various Hadamard types with the help of this identity. Some basic inequalities such as Hölder, Young, power-mean and Jensen inequality have been used to obtain inequalities, and it has been determined that the main findings are generalizations and repetitions of many results that exist in the literature. Another impressive aspect of the study is that a new version of the Atangana–Baleanu integral operator is used, which is a very useful integral operator. We have given some simulations to demonsrate the consistency and harmony of this interesting operator for different values of the parameters.

Keywords: Convex function; Hölder’s inequality; Young inequality; Power mean inequality; Atangana–Baleanu fractional integrals (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:148:y:2021:i:c:s0960077921003799

DOI: 10.1016/j.chaos.2021.111025

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