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Asymptotics of tangent points for planar curves
Authors:Yu. G. Nikonorov
Affiliation:1. South Mathematical Institute of VSC RAS and RNO-A, Volgodonsk, 347386, Russia
2. Institute of Service, Volgodonsk, 347386, Russia
Abstract: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.
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