Asymptotics of tangent points for planar curves
Matematičeskie trudy, Tome 14 (2011) no. 1, pp. 141-157
Voir la notice de l'article provenant de la source Math-Net.Ru
In this paper, we prove a universal inequality described the asymptotic behavior of tangent points for differentiable planar curves. As corollaries, we obtain some (partially known) assertions on the asymptotics of mean value points for a number of the classical theorems in analysis. We formulate some unsolved problems.
@article{MT_2011_14_1_a5,
author = {Yu. G. Nikonorov},
title = {Asymptotics of tangent points for planar curves},
journal = {Matemati\v{c}eskie trudy},
pages = {141--157},
publisher = {mathdoc},
volume = {14},
number = {1},
year = {2011},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MT_2011_14_1_a5/}
}
Yu. G. Nikonorov. Asymptotics of tangent points for planar curves. Matematičeskie trudy, Tome 14 (2011) no. 1, pp. 141-157. http://geodesic.mathdoc.fr/item/MT_2011_14_1_a5/