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arXiv · 2009.07114

Asymptotics of the Lebesgue constants for bivariate approximation processes

Yurii Kolomoitsev·Tetiana Lomako
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Abstract

In this paper asymptotic formulas are given for the Lebesgue constants generated by three special approximation processes related to the $\ell_1$-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.

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Yurii Kolomoitsev, Tetiana Lomako. 2020-09-15. Asymptotics of the Lebesgue constants for bivariate approximation processes. https://arxiv.org/abs/2009.07114

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