Some integral inequalities for generalized left and right log convex interval-valued functions based upon the pseudo-order relation-Reference-Cited by-同舟云学术

Some integral inequalities for generalized left and right log convex interval-valued functions based upon the pseudo-order relation

Published:2022-01-01 Issue:1 Volume:55 Page:387-403
ISSN:2391-4661
Container-title:Demonstratio Mathematica
language:en
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Author:

Khan Muhammad Bilal¹,Noor Muhammad Aslam¹,Macías-Díaz Jorge E.²³,Soliman Mohamed S.⁴⁵,Zaini Hatim Ghazi⁶

Affiliation:

1. Department of Mathematics, COMSATS University Islamabad , Islamabad 44000 , Pakistan

2. Departamento de Matemáticas y Física, Universidad Autónoma de Aguascalientes, Avenida Universidad 940, Ciudad Universitaria , Aguascalientes 20131 , Mexico

3. Department of Mathematics, School of Digital Technologies, Tallinn University , Narva Rd. 25 , 10120 Tallinn , Estonia

4. Department of Electrical Engineering, College of Engineering, Taif University , P.O. Box 11099 , Taif 21944 , Saudi Arabia

5. Department of Electrical Engineering, Faculty of Energy Engineering, Aswan University , Aswan 81528 , Egypt

6. Department of Computer Science, College of Computers and Information Technology, Taif University , P.O. Box 11099 , Taif 21944 , Saudi Arabia

Abstract

Abstract It is a well-known fact that inclusion and pseudo-order relations are two different concepts which are defined on the interval spaces, and we can define different types of convexities with the help of both relations. By means of pseudo-order relation, the present article deals with the new notions of convex functions which are known as left and right log-

-convex interval-valued functions (IVFs) in the second sense. The main motivation of this study is to present new inequalities for left and right log-

-convex-IVFs. Therefore, we establish some new Jensen-type, Hermite-Hadamard (HH)-type, and Hermite-Hadamard-Fejér (HH-Fejér)-type inequalities for this kind of IVF, which generalize some known results. To strengthen our main results, we provide nontrivial examples of left and right log-

-convex IVFs.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/dema-2022-0023/pdf

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