On converse Marcinkiewicz-Zygmund inequalities in \(L_p,p>1\)

DOI10.1007/s003659900123zbMath0939.41001OpenAlexW2078758978MaRDI QIDQ1963850

Doron S. Lubinsky

Publication date: 5 July 2000

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s003659900123

zbMATH Keywords

Lagrange interpolationMarcinkiewicz-Zygmund inequalities

Mathematics Subject Classification ID

Trigonometric interpolation (42A15) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Interpolation in approximation theory (41A05)

Related Items (10)

Quadrature sums and Lagrange interpolation for general exponential weights ⋮ Marcinkiewicz-Zygmund inequalities ⋮ Marcinkiewicz-Zygmund inequalities and the numerical approximation of singular integrals for exponential weights: Methods, results and open problems, some new, some old ⋮ Necessary conditions for weighted mean convergence of Lagrange interpolation for exponential weights ⋮ On mean convergence of Hermite-Fejér and Hermite interpolation for Erdős weights ⋮ Marcinkiewicz-Zygmund inequalities for polynomials in Bergman and Hardy spaces ⋮ Polynomial approximation with Pollaczek-type weights. A survey ⋮ On mean convergence of Lagrange interpolation for general arrays ⋮ Sampling, Marcinkiewicz-Zygmund inequalities, approximation, and quadrature rules ⋮ Necessary conditions of convergence of Hermite-Fejér interpolation polynomials for exponential weights

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