Inequalities for fractional integral with the use of stochastic orderings

Abayomi Dennis Epebinu and Tomasz Szostok

Applied Mathematics and Computation, 2024, vol. 466, issue C

Abstract: In this paper, we show the connections of inequalities involving fractional integrals with Ohlin lemma and Levin-Stechkin theorem. First, we give a new proof of the fractional version of the inequality of Hermite Hadamard type and then we extend it in two directions. Thus we compare the fractional expression occurring in this inequality with the usual integral and we obtain stronger inequalities (one of them is related to Bullen inequality).

Keywords: Convex functions; Fractional integrals; Hermite-Hadamard inequality; Stochastic orderings; Ohlin lemma (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:466:y:2024:i:c:s0096300323006501

DOI: 10.1016/j.amc.2023.128481

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