Fejér-Type Midpoint and Trapezoidal Inequalities for the Operator ω1,ω2-Preinvex Functions

Date

2022

Authors

Mehmood, Sikander
Srivastava, Hari M.
Mohammed, Pshtiwan O.
Al-Sarairah, Eman
Zafar, Fiza
Nonlaopon, Kamsing

Journal Title

Journal ISSN

Volume Title

Publisher

Axioms

Abstract

In this work, we obtain some new integral inequalities of the Hermite–Hadamard–Fejér type for operator (ω1,ω2)-preinvex functions. The bounds for both left-hand and right-hand sides of the integral inequality are established for operator (ω1,ω2)-preinvex functions of the positive self-adjoint operator in the complex Hilbert spaces. We give the special cases to our results; thus, the established results are generalizations of earlier work. In the last section, we give applications for synchronous (asynchronous) functions.

Description

Keywords

Hermite–Hadamard inequalities, Hermite–Hadamard–Fejér inequalities, (ω1,ω2)-preinvexity, self-adjoint operators, positive operators, functions of self-adjoint operators, Hölder inequality, synchronous (asynchronous) functions

Citation

Mehmood, S., Srivástava, H. M., Mohammed, P. O., Al-Sarairah, E., Zafar, F., & Nonlaopon, K. (2022). Fejér-Type Midpoint and Trapezoidal Inequalities for the Operator ω1,ω2-Preinvex Functions. Axioms, 12(1), 16. https://doi.org/10.3390/axioms12010016