On certain orthogonal polynomials, Nikolski- and Turán-type inequalities, and interpolatory properties of best approximants

DOI10.1006/jath.1993.1036zbMath0786.41024OpenAlexW2031662585MaRDI QIDQ1801557

András Kroó

Publication date: 21 April 1994

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.1993.1036

zbMATH Keywords

best approximation polynomialsbest \(L_ p\)-approximantlacunarity of bad subsequences

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Interpolation in approximation theory (41A05) Approximation by polynomials (41A10)

Related Items (3)

Sequences with equi-distributed extreme points in uniform polynomial approximation ⋮ Distribution of interpolation points of best \(L_ 2\)-approximants (\(n\)th partial sums of Fourier series) ⋮ Distribution of alternation points in best rational approximations

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