Properties of Coordinated h1,h2-Convex Functions of Two Variables Related to the Hermite–Hadamard–Fejér Type Inequalities

Author:

Latif Muhammad Amer1ORCID

Affiliation:

1. 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 h1,h2-convex functions on the rectangle from the plane R2. 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 h1,h2-convex functions are provided as well. Finally, we give applications of the acquired results to special means of positive real numbers.

Funder

Deanship of Scientific Research, King Faisal University under the Ambitious Researcher Track

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Reference25 articles.

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5. Properties of h-convex functions related to the Hermite–Hadamard–Fejér inequalities;Bombardelli;Comput. Math. Appl.,2009

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