Interval Fejér-Type Inequalities for Left and Right-<i>λ</i>-Preinvex Functions in Interval-Valued Settings
Tareq Saeed,
Muhammad Bilal Khan,
Savin Treanțǎ,
Hamed H. Alsulami,
Mohammed Sh. Alhodaly
Affiliations
Tareq Saeed
Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
Muhammad Bilal Khan
Department of Mathematics, COMSATS University Islamabad, Islamabad 44000, Pakistan
Savin Treanțǎ
Department of Applied Mathematics, University Politehnica of Bucharest, 060042 Bucharest, Romania
Hamed H. Alsulami
Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
Mohammed Sh. Alhodaly
Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
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.
