Refinements of Hermite-Hadamard Type Integral Inequalities Involving Special Functions

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DOI: https://doi.org/10.28924/2291-8639-24-2026-350
Published: Oct 15, 2026
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Sarah Aljohani, Saima Bhatti, Ayaz Ali Siyal, Muhammad Tariq, Ebru Ozbilge, Waqar Afzal, Hijaz Ahmad, Refinements of Hermite-Hadamard Type Integral Inequalities Involving Special Functions, Int. J. Anal. Appl., 24 (2026), 350.

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Sarah Aljohani, Saima Bhatti, Ayaz Ali Siyal, Muhammad Tariq, Ebru Ozbilge, Waqar Afzal, Hijaz Ahmad

Abstract

This paper establishes fractional integral inequalities via Raina's function forging a compelling new bridge between convex functions, special functions, and fractional calculus. Leveraging the Atangana-Baleanu fractional integral operator (ABFIO), we deduce new Hermite-Hadamard (H-H) integral inequalities. A recently constructed fractional lemma is then used to produce sharper, more complex versions of these results. A comprehensive reference study is given to help readers understand this rapidly evolving topic since Mittag-Leffler and Raina-type functions are becoming more and more significant. The findings offer important developments that create fresh perspectives and open up new directions for the field.

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