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