Applications of the Hermite-Hadamard inequality
Monika Nowicka, Alfred Witkowski
TL;DR
This paper explores new applications of an improved Hermite-Hadamard inequality to analyze various planar and three-dimensional figures with certain regularity conditions.
Contribution
It introduces novel applications of the improved Hermite-Hadamard inequality to non-convex figures and 3D bodies with regularity.
Findings
Extended the inequality's applicability to non-convex shapes
Provided bounds for irregular planar figures
Applied the inequality to 3D bodies with regularity
Abstract
We show how the recent improvement of the Hermite-Hadamard inequality can be applied to some (not necessarily convex) planar figures and three-dimensional bodies satisfying some kind of regularity.
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