English

On Lebesgue Constants for Interpolation Points on a Quasiconformal Arc

Complex Variables 2016-12-05 v1

Abstract

Using the theory of quasiconformal mappings, we simplify the proof of the recent result by Taylor and Totik (see IMA Journal of Numerical Analysis 30 (2010) 462--486) on the behavior of the Lebesgue constants for interpolation points on a compact set in the complex plane.

Keywords

Cite

@article{arxiv.1612.00519,
  title  = {On Lebesgue Constants for Interpolation Points on a Quasiconformal Arc},
  author = {Vladimir Andrievskii},
  journal= {arXiv preprint arXiv:1612.00519},
  year   = {2016}
}