Some Fejér-Type Inequalities for Generalized Interval-Valued Convex Functions
Muhammad Bilal Khan,
Jorge E. Macías-Díaz,
Savin Treanțǎ,
Mohamed S. Soliman
Affiliations
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
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-Fs). We develop several additional inequalities for the class of functions whose product is preinvex I-V-Fs. 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.
