Estimates of Lebesgue Constants for Lagrange Interpolation Processes by Rational Functions under Mild Restrictions to their Fixed Poles
Complex Variables
2024-06-19 v1
Abstract
We estimate the Lebesgue constants for Lagrange interpolation processes on one or several intervals by rational functions with fixed poles. We admit that the poles have accumulation points on the intervals. To prove it we use an analog of the inverse polynomial image method for rational functions with fixed poles.
Keywords
Cite
@article{arxiv.2202.12153,
title = {Estimates of Lebesgue Constants for Lagrange Interpolation Processes by Rational Functions under Mild Restrictions to their Fixed Poles},
author = {Sergei Kalmykov and Alexey Lukashov},
journal= {arXiv preprint arXiv:2202.12153},
year = {2024}
}
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13 pages