Mehmood, SikanderSrivastava, Hari M.Mohammed, Pshtiwan O.Al-Sarairah, EmanZafar, FizaNonlaopon, Kamsing2023-10-142023-10-1420222022Mehmood, 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/axioms12010016https://doi.org/10.3390/axioms12010016http://hdl.handle.net/1828/15504In 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.enHermite–Hadamard inequalitiesHermite–Hadamard–Fejér inequalities(ω1,ω2)-preinvexityself-adjoint operatorspositive operatorsfunctions of self-adjoint operatorsHölder inequalitysynchronous (asynchronous) functionsArticle