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Properties of Coordinated h 1 , h 2 -Convex Functions of Two Variables Related to the Hermite–Hadamard–Fejér Type Inequalities

Author

Listed:
  • Muhammad Amer Latif

    (Department of Basic Sciences, Deanship of Preparatory Year, King Faisal University, Hofuf 31982, Saudi Arabia)

Abstract

In this paper, we prove the Hermite–Hadamard–Fejér type inequalities for coordinated h 1 , h 2 -convex functions on the rectangle from the plane R 2 . Some generalizations of the Hermite–Hadamard-type inequalities of two variables are also obtained as a consequence. Some properties of two functionals which are connected with the coordinated h 1 , h 2 -convex functions are provided as well. Finally, we give applications of the acquired results to special means of positive real numbers.

Suggested Citation

  • Muhammad Amer Latif, 2023. "Properties of Coordinated h 1 , h 2 -Convex Functions of Two Variables Related to the Hermite–Hadamard–Fejér Type Inequalities," Mathematics, MDPI, vol. 11(5), pages 1-23, February.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:5:p:1201-:d:1084080
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