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Research Article | Open Access

Some integral inequalities for harmonical c r- h-Godunova-Levin stochastic processes

Waqar Afzal1,2( )Sayed M. Eldin3Waqas Nazeer1Ahmed M. Galal4,5
Department of Mathemtics, Government College University Lahore (GCUL), Lahore 54000, Pakistan
Department of Mathematics, University of Gujrat, Gujrat, 50700, Pakistan
Center of Research, Faculty of Engineering, Future University in Egypt New Cairo 11835, Egypt
Department of Mechanical Engineering, College of Engineering in Wadi Alddawasir, Prince Sattam bin Abdulaziz University, Saudi Arabia
Production Engineering and Mechanical Design Department, Faculty of Engineering, Mansoura University, P.O. Box 35516, Mansoura, Egypt
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Abstract

An important part of optimization is the consideration of convex and non-convex functions. Furthermore, there is no denying the connection between the ideas of convexity and stochastic processes. Stochastic processes, often known as random processes, are groups of variables created at random and supported by mathematical indicators. Our study introduces a novel stochastic process for center-radius (cr) order based on harmonic h-Godunova-Levin ( G L ) in the setting of interval-valued functions ( I V F S ). With some interesting examples, we establish some variants of Hermite-Hadamard ( H . H ) types inequalities for generalized interval-valued harmonic cr-h-Godunova-Levin stochastic processes.

CLC number: 39B62, 52B55, 94B75

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AIMS Mathematics
Pages 13473-13491

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Cite this article:
Afzal W, Eldin SM, Nazeer W, et al. Some integral inequalities for harmonical c r- h-Godunova-Levin stochastic processes. AIMS Mathematics, 2023, 8(6): 13473-13491. https://doi.org/10.3934/math.2023683

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Received: 19 October 2022
Revised: 24 December 2022
Accepted: 29 December 2022
Published: 15 June 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)