On Lagrange Interpolation at Disturbed Roots of Unity

DOI10.2307/2154377zbMath0770.41002OpenAlexW4238486543MaRDI QIDQ4039348

Xie-Chang Shen, Lefan Zhong, Charles K. Chui

Publication date: 11 August 1993

Full work available at URL: https://doi.org/10.2307/2154377

zbMATH Keywords

Marcinkiewicz-Zygmund type inequality

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Approximation by polynomials (41A10) Inequalities in the complex plane (30A10)

Related Items (5)

Sharp \(L_p\)-error estimates for sampling operators ⋮ Marcinkiewicz-Zygmund inequalities and interpolation by spherical harmonics ⋮ A survey on mean convergence of interpolatory processes ⋮ Mean convergence of Lagrange interpolation ⋮ Polynomial interpolation and Marcinkiewicz-Zygmund inequalities on the unit circle

Cites Work

• Norms of analytic interpolation projections on general domains
• The generalized Marcinkiewicz-Zygmund inequality for trigonometric polynomials
• Convergence of complex Lagrange interpolation polynomials on the locus of the interpolation points
• 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 Hermite-Fejer Interpolation in a Jordan Domain
• On the almost everywhere divergence of Lagrange interpolation (complex and trigonometric cases)
• Weighted Norm Inequalities for the Hardy Maximal Function
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