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Properties of Coordinated (h(1), h(2))-Convex Functions of Two Variables Related to the Hermite-Hadamard-Fejer Type Inequalities
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Properties of Coordinated (h(1), h(2))-Convex Functions of Two Variables Related to the Hermite-Hadamard-Fejer Type Inequalities

Muhammad Amer Latif
Mathematics (Basel), Vol.11(5)
01/03/2023

Abstract

Mathematics Physical Sciences Science & Technology
In this paper, we prove the Hermite-Hadamard-Fejer 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.
url
https://doi.org/10.3390/math11051201View
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