Hermite-Hadamard-type inequalities for conformable integrals

Year 2022, Volume: 51 Issue: 3, 775 - 786, 01.06.2022

Martin BOHNER Artion KASHURİ Pshtiwan MOHAMMED Juan Eduardo NAPOLES VALDES

https://doi.org/10.15672/hujms.946069

Cited By: 5

Abstract

In this study, some inequalities of Hermite-Hadamard type for integrals arising in conformable fractional calculus are presented. In fact, the obtained inequalities are not only valid for those integrals arising in conformable fractional calculus, but for more general integrals as well. Numerous known versions are recovered as special cases. We also illustrate our findings via applications to modified Bessel functions, special means, and midpoint approximations.

Keywords

Hermite–Hadamard inequality, convex function, conformable integral

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