Asymptotics of the Lebesgue constants for bivariate approximation processes
Classical Analysis and ODEs
2020-09-16 v1 Numerical Analysis
Numerical Analysis
Abstract
In this paper asymptotic formulas are given for the Lebesgue constants generated by three special approximation processes related to the -partial sums of Fourier series. In particular, we consider the Lagrange interpolation polynomials based on the Lissajous-Chebyshev node points, the partial sums of the Fourier series generated by the anisotropically dilated rhombus, and the corresponding discrete partial sums.
Keywords
Cite
@article{arxiv.2009.07114,
title = {Asymptotics of the Lebesgue constants for bivariate approximation processes},
author = {Yurii Kolomoitsev and Tetiana Lomako},
journal= {arXiv preprint arXiv:2009.07114},
year = {2020}
}