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Research Article | Open Access

On certain Ostrowski type integral inequalities for convex function via AB-fractional integral operator

Maimoona Karim1Aliya Fahmi1Zafar Ullah2Muhammad Awais Tariq Bhatti3Ather Qayyum4( )
Department of Mathematics, The University of Faisalabad, Pakistan
Department of Mathematics, Division of Science and Technology, University of Education Lahore, Pakistan
Department of Mathematics, National College of Business Administration and Economics Lahore, Multan Campus, Pakistan
Department of Mathematics, Institute of Southern Punjab Multan, Pakistan
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Abstract

We investigate and prove a new lemma for twice differentiable functions with the fractional integral operator A B. Based on this newly developed lemma, we derive some new results about this identity. These new findings provide some generalizations of previous findings. This research builds on a novel new auxiliary result that allows us to create new variants of Ostrowski type inequalities for twice differentiable convex mappings. Some of the newly presented results' special cases are also discussed. As applications, several estimates involving special means of real numbers and Bessel functions are depicted.

CLC number: 26A51, 26A33, 26D07, 26D10, 26D15

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AIMS Mathematics
Pages 9166-9184

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Cite this article:
Karim M, Fahmi A, Ullah Z, et al. On certain Ostrowski type integral inequalities for convex function via AB-fractional integral operator. AIMS Mathematics, 2023, 8(4): 9166-9184. https://doi.org/10.3934/math.2023459

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Received: 17 October 2022
Revised: 07 January 2023
Accepted: 31 January 2023
Published: 15 April 2023
©2023 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)