Some integral inequalities for harmonical $ cr $-$ h $-Godunova-Levin stochastic processes

Author:

Afzal Waqar12,Eldin Sayed M.3,Nazeer Waqas1,Galal Ahmed M.45

Affiliation:

1. Department of Mathemtics, Government College University Lahore (GCUL), Lahore 54000, Pakistan

2. Department of Mathematics, University of Gujrat, Gujrat, 50700, Pakistan

3. Center of Research, Faculty of Engineering, Future University in Egypt New Cairo 11835, Egypt

4. Department of Mechanical Engineering, College of Engineering in Wadi Alddawasir, Prince Sattam bin Abdulaziz University, Saudi Arabia

5. Production Engineering and Mechanical Design Department, Faculty of Engineering, Mansoura University, P.O. Box 35516, Mansoura, Egypt

Abstract

<abstract><p>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 ($ \mathcal{GL} $) in the setting of interval-valued functions ($ \mathcal{IVFS} $). With some interesting examples, we establish some variants of Hermite-Hadamard ($ \mathcal{H.H} $) types inequalities for generalized interval-valued harmonic cr-h-Godunova-Levin stochastic processes.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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