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A lower bound for Lebesgue constants

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Publication:755066
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DOI10.1007/BF01138151zbMath0417.42008MaRDI QIDQ755066

V. A. Yudin

Publication date: 1979

Published in: Mathematical Notes (Search for Journal in Brave)


zbMATH Keywords

Lebesgue constants


Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Fourier series and coefficients in several variables (42B05) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)


Related Items (7)

Polygonal Dirichlet kernels and growth of Lebesgue constants ⋮ Lebesgue constants for polyhedral sets and polynomial interpolation on Lissajous-Chebyshev nodes ⋮ On Pringsheim convergence of a subsequence of partial sums of a multiple trigonometric Fourier series ⋮ Bivariate Lagrange interpolation at the node points of Lissajous curves -- the degenerate case ⋮ Discrete Fourier analysis on fundamental domain and simplex of \(A_{d}\) lattice in \(d\)-variables ⋮ Divergence in measure of multiple Fourier series ⋮ Multiple Fourier series and integrals



Cites Work

  • Unnamed Item
  • Discrete imbedding theorems and Lebesgue constants
  • Prediction theory and Fourier series in several variables
  • Behavior of Lebesgue constants


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