Interval Fejér-Type Inequalities for Left and Right-<i>λ</i>-Preinvex Functions in Interval-Valued Settings

Abstract

For left and right λ-preinvex interval-valued functions (left and right λ-preinvex IVFs) in interval-valued Riemann operator settings, we create Hermite–Hadamard (H-H) type inequalities in the current study. Additionally, we create Hermite–Hadamard–Fejér (H-H-Fejér)-type inequalities for preinvex functions of the left and right interval-valued type under some mild conditions. Moreover, some exceptional new and classical cases are also obtained. Some useful examples are also presented to prove the validity of the results.

Keywords

• left and right <i>λ</i>-preinvex interval-valued function
• interval Riemann integral
• Hermite–Hadamard-type inequality
• Hermite–Hadamard–Fejér-type inequality