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Research Article | Open Access

Some fractional integral inequalities via h-Godunova-Levin preinvex function

Sabila Ali1, Rana Safdar Ali1, Miguel Vivas-Cortez2 ( ), Shahid Mubeen3, Gauhar Rahman4, Kottakkaran Sooppy Nisar5
Department of Mathematics, University of Lahore, Lahore, Pakistan
Escuela de Ciencias Físicas y Matemáticas, Facultad de Ciencias Exactas y Naturales, Pontificia Universidad Católica del Ecuador, Av. 12 de octubre 1076, Apartado, Quito 17-01-2184, Ecuador
Department of Mathematics, University of Sargodha P.O. Box 40100, Sargodha, Pakistan
Department of Mathematics and Statistics, Hazara University, Mansehra, Pakistan
Department of Mathematics, College of Arts and Science, Prince Sattam bin Abdulaziz University, Wadi Aldawaser, 11991, Saudi Arabia
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Abstract

In recent years, integral inequalities are investigated due to their extensive applications in several domains. The aim of the paper is to investigate certain new fractional integral inequalities which include Hermite-Hadamard inequality and different forms of trapezoid type inequalities related to Hermite-Hadamard inequality for h-Godunova-Levin preinvex function. Moreover, we compare our obtained results with the existing work in the literature and are represented by corollaries.

Keywords

fractional inequalitiesh-Godunova-Levin convex and preinvex functionHadamard inequality
CLC number: 26D10, 26D15, 26D10, 26D53, 05A30

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AIMS Mathematics
Volume 7 Issue 8,
August 2022
Pages 13832-13844
DOI: 10.3934/math.2022763

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Cite this article:
Ali S, Ali RS, Vivas-Cortez M, et al. Some fractional integral inequalities via h-Godunova-Levin preinvex function. AIMS Mathematics, 2022, 7(8): 13832-13844. https://doi.org/10.3934/math.2022763

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Received: 01 February 2022
Revised: 17 March 2022
Accepted: 28 March 2022
Published: 15 August 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)