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

• Autorzy: Khan Muhammad Bilal , Noor Muhammad Aslam , Macías-Díaz Jorge E. , Soliman Mohamed S. , Zaini Hatim Ghazi

Identyfikatory

DOI

10.1515/dema-2022-0023

• Języki publikacji: EN

Abstrakty

EN

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- s -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- s -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- s -convex IVFs.

Słowa kluczowe

EN

left log-s-convex interval-valued functions; right log-s-convex interval-valued functions; Hermite-Hadamard type inequality; Hermite-Hadamard-Fejér-type inequality; Jensen’s inequality

PL

funkcje wypukłe; nierówność Hermite-Hadamarda; nierówność Jensena

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2022
• Tom: Vol. 55, nr 1
• Strony: 387--403
• Opis fizyczny: Bibliogr. 50 poz.

Twórcy

autor

Khan Muhammad Bilal

• Department of Mathematics, COMSATS University Islamabad, Islamabad 44000, Pakistan

autor

Noor Muhammad Aslam

• Department of Mathematics, COMSATS University Islamabad, Islamabad 44000, Pakistan

autor

Macías-Díaz Jorge E.

• Departamento de Matemáticas y Física, Universidad Autónoma de Aguascalientes, Avenida Universidad 940, Ciudad Universitaria, Aguascalientes 20131, Mexico
• Department of Mathematics, School of Digital Technologies, Tallinn University, Narva Rd. 25, 10120 Tallinn, Estonia

autor

Soliman Mohamed S.

• Department of Electrical Engineering, College of Engineering, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia
• Department of Electrical Engineering, Faculty of Energy Engineering, Aswan University, Aswan 81528, Egypt

autor

Zaini Hatim Ghazi

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

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Uwagi

PL

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).