Some Generalized Fractional Integral Inequalities via Harmonic Convex Functions and Their Applications

Muhammad Uzair Awan, Nousheen Akhtar, Mustapha Raïssouli, Artion Kashuri, Muhammad Zakria Javed, Muhammad Aslam Noor and Thanin Sitthiwirattham

Mathematical Problems in Engineering, 2022, vol. 2022, 1-27

Abstract: The aim of this paper is to derive from an auxiliary identity some new generalizations of fractional integral inequalities of Simpson, midpoint, and trapezoid using the class of harmonic convex functions. To show that our results are quite unifying, we discuss several new special cases. Finally, some applications regarding error estimations for the Simpson quadrature formula are presented to support our theoretical results.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:4173915

DOI: 10.1155/2022/4173915

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