Recurrence Relation of Curvature Integral Inequalities for Simple Closed Convex Curves
- 1 January 2023
- journal article
- Published by Hans Publishers in Pure Mathematics
- Vol. 13 (03), 375-380
- https://doi.org/10.12677/pm.2023.133041
Abstract
In this paper, we mainly study the curvature integral inequality of simple closed convex curves on the plane. We use the unit-speed outward normal flow to simplify the proof of Green-Osher's results, find a recurrence relationship between the high-order and low-order cases of the curvature integral inequality, generalize the previous results, and find a special function.Keywords
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