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

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.

On Hermite–Hadamard–Fejér-Type Inequalities for η-Convex Functions via Quantum Calculus

“…Recently, there have been many works about quantum integral inequalities, especially quantum Hermite-Hadamard-Fejér-type inequalities. Interested readers can see [13][14][15][16][17][18] and the references therein.…”