Inequalities for strongly s-convex functions via Atangana-Baleanu fractional integral operators

Year 2024, Volume: 13 Issue: 2, 49 - 60, 28.06.2024

Ebru Yüksel

https://doi.org/10.46810/tdfd.1424844

Abstract

It is more convenient to use fractional derivatives and integrals to express and represent rapid changes than to use integer derivatives and integrals. For this reason, fractional analysis has been found worthy of study in many fields. In recent years, fractional derivatives and integrals have been discussed together with inequality theory and the studies have attracted attention. In this article, we discuss new Hermite-Hadamard type approximations for strongly convex functions with the help of Atangana-Baleanu fractional integral operators. Additionally, new upper bounds have been obtained using various auxiliary inequalities with the help of twice differentiable strongly convex functions.

Keywords

Hermite-Hadamard inequality, strongly convex function, Atangana-Baleanu fractional integral

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