Asymptotics of the Lebesgue constants for a $d$-dimensional simplex
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Publication:4990346
DOI10.1090/proc/15438zbMath1465.42011arXiv2004.12236OpenAlexW3111479217MaRDI QIDQ4990346
Elijah Liflyand, Yurii S. Kolomoitsev
Publication date: 28 May 2021
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.12236
Multipliers for harmonic analysis in several variables (42B15) Fourier series and coefficients in several variables (42B05) Summability in several variables (42B08) Trigonometric polynomials, inequalities, extremal problems (42A05)
Cites Work
- Triangular Dirichlet kernels and growth of \(L^{p}\) Lebesgue constants
- Multiple trigonometric series with lexicographically monotone coefficients
- Lebesgue constants of polyhedra
- Asymptotic behavior of the Dirichlet kernel of Fourier sums with respect to a polygon
- Asymptotics of the Lebesgue constants for bivariate approximation processes
- On multivariate projection operators
- Lebesgue constants for polyhedral sets and polynomial interpolation on Lissajous-Chebyshev nodes
- Some problems in the theory of multiple trigonometric series
- On the growth of Lebesgue constants for convex polyhedra
- Growth of 𝐿^{𝑝} Lebesgue constants for convex polyhedra and other regions
- Comparison of the \(L^1\)-norms of total and truncated exponential sums
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