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Conjugations of unitary operators, I. [PDF]
Mashreghi J, Ptak M, Ross WT.
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Global Solutions of the One-Dimensional Compressible Euler Equations with Nonlocal Interactions via the Inviscid Limit. [PDF]
Carrillo JA +3 more
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Lebesgue Constants for Hadamard Matrices
Journal of Fourier Analysis and Applications, 2004The behaviour of the Lebesgue constant \(L(E)=n^{-1} \sup_{1\leqslant i\leqslant m} \sum^n_{j=1} | \sum ^m_{k=1} e_{ki} e_{kj}| \) of Hadamard matrices \(E=E(e_{ij})\) or their submatrices is studied. Let \(E_m\) denote the first \(m\)~rows of a Hadamard matrix~\(E\).
Hadwin, D., Harrison, K.J., Ward, J.A.
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A General Theorem on Lebesgue Constants
Journal of Mathematical Sciences, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Ukrainian Mathematical Journal, 2019
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HYPERBOLIC LEBESGUE CONSTANTS IN DIMENSION TWO
Journal of Mathematical Sciences, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Evaluation of Lebesgue Constants
SIAM Journal on Numerical Analysis, 1980Asymptotic expressions of the form $({2 / \pi })\log n + c + r_n $ are investigated for the Lebesgue constants associated with interpolation at the Chebyshev nodes T and the “expanded Chebyshev nodes” $\hat T$. Estimations of the error $r_n $, are given.
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Estimates from Below for Lebesgue Constants
Journal of Fourier Analysis and Applications, 1995zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liflyand, E. R. +2 more
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Mathematical Notes of the Academy of Sciences of the USSR, 1983
Discrete Lebesgue constants \(L_ m(q)\) with \(q\in {\mathbb{N}}\) are studied. An expression for them is \(L_ m(q)=(m+1)/q+\frac{1}{q}\sum^{q- 1}_{\ell =1}| \sin(\pi(m+1)\ell /q)| /\sin(\pi \ell /q).\) Two theorems and a corollary are proved. Theorem 1: For all \(q\geq 2m+2\) the estimates \(\frac{1}{\pi}\log(m+1)+0(1)\leq L_ m(q)\leq \frac{4}{\pi^ 2}\
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Discrete Lebesgue constants \(L_ m(q)\) with \(q\in {\mathbb{N}}\) are studied. An expression for them is \(L_ m(q)=(m+1)/q+\frac{1}{q}\sum^{q- 1}_{\ell =1}| \sin(\pi(m+1)\ell /q)| /\sin(\pi \ell /q).\) Two theorems and a corollary are proved. Theorem 1: For all \(q\geq 2m+2\) the estimates \(\frac{1}{\pi}\log(m+1)+0(1)\leq L_ m(q)\leq \frac{4}{\pi^ 2}\
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Lebesgue constants for Leja points
IMA Journal of Numerical Analysis, 2008It is shown that for many compact sets in the plane, the Lebesgue constant of interpolation in the first n Leja points cannot grow exponentially in n. This gives a theoretical foundation for the use of Leja points in interpolation.
R. Taylor, V. Totik
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