On Some Hadamard-Type Inequalities for Convex Functions On A Rectanguler Box
M.E. Ozdemir, Ahmet Ocak Akdemir
TL;DR
This paper establishes Hadamard-type inequalities for convex functions of three variables on rectangular boxes and introduces a related mapping, expanding the theoretical framework for convex analysis in multivariable settings.
Contribution
It provides new Hadamard-type inequalities for convex functions in three dimensions and defines a related mapping, extending existing convex analysis results.
Findings
Derived Hadamard-type inequalities for 3-variable convex functions.
Introduced a new mapping related to convex functions on rectangular boxes.
Extended convex analysis tools to higher dimensions.
Abstract
In this paper some Hadamard-type inequalities for convex functions of 3-variables on a rectanguler box are given. We also define a mapping related to convex functions on a rectanguler box.
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Taxonomy
TopicsMathematical Inequalities and Applications · Matrix Theory and Algorithms · Mathematics and Applications