Asymptotic behavior of support points for planar curves

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:391

Article

Nikonorov, Yu G.

关键词: Parametric continuous planar curves;    Smooth curves;    Mean-value theorems;   

DOI  :  10.1016/j.jmaa.2012.02.023

来源: Elsevier

【 摘 要 】

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. (c) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free