Fejér-Type Midpoint and Trapezoidal Inequalities for the Operator ω12-Preinvex Functions

Sikander Mehmood, Hari Mohan Srivastava, Pshtiwan Othman Mohammed, Eman Al-Sarairah, Fiza Zafar, Kamsing Nonlaopon

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In this work, we obtain some new integral inequalities of the Hermite–Hadamard–Fejér type for operator (Formula presented.) -preinvex functions. The bounds for both left-hand and right-hand sides of the integral inequality are established for operator (Formula presented.) -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.

Original languageBritish English
Article number16
Issue number1
StatePublished - Jan 2023


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


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