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Refinement Mappings Related to Hermite-Hadamard Type Inequalities for GA-Convex Function

Author

Listed:
  • Muhammad Amer Latif

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

  • Humaira Kalsoom

    (Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China)

  • Zareen A. Khan

    (Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia)

  • Areej A. Al-moneef

    (Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia)

Abstract

In this paper, we present some new refinement mappings associated with the Hermite–Hadamard type inequalities that are constructed for GA-convex mappings. Our investigation of the mappings leads to the discovery of several interesting features as well as the development of some inequalities for the Hermite–Hadamard type inequalities, which have already been established for GA-convex functions, as well as refining the relationship between the middle, rightmost, and leftmost elements of the function. Some applications to special means of positive real numbers are also given.

Suggested Citation

  • Muhammad Amer Latif & Humaira Kalsoom & Zareen A. Khan & Areej A. Al-moneef, 2022. "Refinement Mappings Related to Hermite-Hadamard Type Inequalities for GA-Convex Function," Mathematics, MDPI, vol. 10(9), pages 1-13, April.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:9:p:1398-:d:799528
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    Cited by:

    1. Muhammad Amer Latif, 2023. "Some Companions of Fejér Type Inequalities Using GA-Convex Functions," Mathematics, MDPI, vol. 11(2), pages 1-19, January.

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