Jensen, Ostrowski and Hermite-Hadamard type inequalities for $ h $-convex stochastic processes by means of center-radius order relation-Reference-Cited by-同舟云学术

Jensen, Ostrowski and Hermite-Hadamard type inequalities for $ h $-convex stochastic processes by means of center-radius order relation

Published:2023 Issue:7 Volume:8 Page:16013-16030
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Abbas Mujahid¹²³,Afzal Waqar¹,Botmart Thongchai⁴,Galal Ahmed M.⁵⁶

Affiliation:

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

2. Department of Medical Research, China Medical University, Taichung, Taiwan

3. Department of Mathematics and Applied Mathematics, University of Pretoria, Lynnwood road, Pretoria 0002, South Africa

4. Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand

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

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

Abstract

<abstract><p>In optimization, convex and non-convex functions play an important role. Further, there is no doubt that convexity and stochastic processes are closely related. In this study, we introduce the notion of the $ h- $convex stochastic process for center-radius order in the setting of interval-valued functions ($ \mathcal{IVFS} $) which is novel in literature. By using these notions we establish Jensen, Ostrowski, and Hermite-Hadamard ($ \mathcal{H.H} $) types inequalities for generalized interval-valued $ \mathcal{CR}-h $-convex stochastic processes. Furthermore, the study provides useful examples to support its findings.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference53 articles.

1. R. E. Moore, Interval analysis, Englewood Cliffs, Prentice-Hall, 1966.

2. J. M. Snyder, Interval analysis for computer graphics, Proceedings of the 19th annual conference on computer graphics and interactive techniques, 1992,121–130.

3. N. A. Gasilov, Ş. E. Amrahov, Solving a nonhomogeneous linear system of interval differential equations, Soft Comput., 22 (2018), 3817–3828.

4. D. Singh, B. A. Dar, Sufficiency and duality in non-smooth interval valued programming problems, J. Ind. Manag. Optim., 15 (2019), 647–665. https://doi.org/10.3934/jimo.2018063

5. E. de Weerdt, Q. P. Chu, J. A. Mulder, Neural network output optimization using interval analysis, IEEE T. Neural Networ., 20 (2009), 638–653. http://doi.org/10.1109/TNN.2008.2011267

Cited by 9 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Fractional Hermite–Hadamard, Newton–Milne, and Convexity Involving Arithmetic–Geometric Mean-Type Inequalities in Hilbert and Mixed-Norm Morrey Spaces ℓq(·)(Mp(·),v(·)) with Variable Exponents;Fractal and Fractional;2024-08-30

2. Fractional Hermite–Hadamard–Mercer-Type Inequalities for Interval-Valued Convex Stochastic Processes with Center-Radius Order and Their Related Applications in Entropy and Information Theory;Fractal and Fractional;2024-07-11

3. The Homotopy Perturbation Method for Electrically Actuated Microbeams in Mems Systems Subjected to Van Der Waals Force and Multiwalled Carbon Nanotubes;Acta Mechanica et Automatica;2024-02-29

4. Weighted Fejér, Hermite–Hadamard, and Trapezium-Type Inequalities for (h1,h2)–Godunova–Levin Preinvex Function with Applications and Two Open Problems;Mathematics;2024-01-24

5. Some novel Kulisch-Miranker type inclusions for a generalized class of Godunova-Levin stochastic processes;AIMS Mathematics;2024