Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 403, Issue -, Pages -Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2021.126192
Keywords
Lebesgue constants; Asymptotic formula; Anisotropy; Dirichlet kernel; Interpolation; Lissajous-Chebyshev nodes
Categories
Funding
- DFG [KO 5804/1-1]
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This paper presents asymptotic formulas for the Lebesgue constants generated by three special approximation processes related to the l(1) -partial sums of Fourier series, including Lagrange interpolation polynomials based on Lissajous-Chebyshev node points, the partial sums of Fourier series generated by anisotropically dilated rhombus, and the corresponding discrete partial sums.
In this paper asymptotic formulas are given for the Lebesgue constants generated by three special approximation processes related to the l(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. (C) 2021 Elsevier Inc. All rights reserved.
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