Polynomial interpolation and Marcinkiewicz-Zygmund inequalities on the unit circle
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Publication:1289061
DOI10.1006/jmaa.1999.6337zbMath1054.30033OpenAlexW2076063560MaRDI QIDQ1289061
Publication date: 1999
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jmaa.1999.6337
\(A_p\)-weightsMarcinkiewicz-Zygmund inequalitiesLagrange polynomial interpolationrate of convergence, \(H^p\)-norm estimation
Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Moment problems and interpolation problems in the complex plane (30E05)
Related Items (10)
Marcinkiewicz-Zygmund inequalities ⋮ Sharp \(L_p\)-error estimates for sampling operators ⋮ Order of uniform approximation by polynomial interpolation in the complex plane and beyond ⋮ On the stability of unevenly spaced samples for interpolation and quadrature ⋮ Marcinkiewicz-Zygmund inequalities and interpolation by spherical polynomials with respect to doubling weights ⋮ Marcinkiewicz-Zygmund inequalities and interpolation by spherical harmonics ⋮ Sufficient conditions for sampling and interpolation on the sphere ⋮ Weighted polynomial inequalities in the complex plane ⋮ Large sieve estimates on arcs of a circle. ⋮ On Marcinkiewicz-Zygmund inequalities and \(A_p\)-weights for \(L\)-shape arcs
Cites Work
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- Least squares and interpolation in roots of unity
- On the convergence of rational functions which interpolate in the roots of unity
- Mean Convergence and Interpolation in Roots of Unity
- On the almost everywhere divergence of Lagrange interpolation (complex and trigonometric cases)
- On Lagrange Interpolation at Disturbed Roots of Unity
- Weighted Norm Inequalities for the Hardy Maximal Function
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