Asymptotics of the Lebesgue constants for bivariate approximation processes

Yurii Kolomoitsev and Tetiana Lomako

Applied Mathematics and Computation, 2021, vol. 403, issue C

Abstract: In this paper asymptotic formulas are given for the Lebesgue constants generated by three special approximation processes related to the ℓ1-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: Lebesgue constants; Asymptotic formula; Anisotropy; Dirichlet kernel; Interpolation; Lissajous-Chebyshev nodes (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:403:y:2021:i:c:s0096300321002824

DOI: 10.1016/j.amc.2021.126192

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