Asymptotic behavior of support points for planar curves
Differential Geometry
2020-01-29 v2 Classical Analysis and ODEs
Abstract
In this paper we prove a universal inequality describing the asymptotic behavior of support points for planar continuous curves. As corollaries we get an analogous result for tangent points of differentiable planar curves and some (partially known) assertions on the asymptotic of the mean value points for various classical analytic theorems. Some open questions are formulated.
Cite
@article{arxiv.1007.0122,
title = {Asymptotic behavior of support points for planar curves},
author = {Yu. G. Nikonorov},
journal= {arXiv preprint arXiv:1007.0122},
year = {2020}
}
Comments
17 pages, some typos corrected, some references added