Some Fejér-Type Inequalities for Generalized Interval-Valued Convex Functions

Muhammad Bilal Khan (), Jorge E. Macías-Díaz (), Savin Treanțǎ and Mohamed S. Soliman
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Muhammad Bilal Khan: Department of Mathematics, COMSATS University Islamabad, Islamabad 44000, Pakistan
Jorge E. Macías-Díaz: Departamento de Matemáticas y Física, Universidad Autónoma de Aguascalientes, Avenida Universidad 940, Ciudad Universitaria, Aguascalientes 20131, Mexico
Savin Treanțǎ: Department of Applied Mathematics, University Politehnica of Bucharest, 060042 Bucharest, Romania
Mohamed S. Soliman: Department of Electrical Engineering, College of Engineering, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia

Mathematics, 2022, vol. 10, issue 20, 1-16

Abstract: The goal of this study is to create new variations of the well-known Hermite–Hadamard inequality ( HH -inequality) for preinvex interval-valued functions (preinvex I-V-F s). We develop several additional inequalities for the class of functions whose product is preinvex I-V-F s. The findings described here would be generalizations of those found in previous studies. Finally, we obtain the Hermite–Hadamard–Fejér inequality with the support of preinvex interval-valued functions. Some new and classical special cases are also obtained. Moreover, some nontrivial examples are given to check the validity of our main results.

Keywords: preinvex interval valued functions; interval riemann integrals; hermite–hadamard inequalities; hermite–hadamard–fejér inequality (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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