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- Title
Some Fejér-Type Inequalities for Generalized Interval-Valued Convex Functions.
- Authors
Khan, Muhammad Bilal; Macías-Díaz, Jorge E.; Treanțǎ, Savin; Soliman, Mohamed S.
- 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-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.
- Subjects
CONVEX functions; INTEGRAL inequalities; RIEMANN integral
- Publication
Mathematics (2227-7390), 2022, Vol 10, Issue 20, p3851
- ISSN
2227-7390
- Publication type
Article
- DOI
10.3390/math10203851