The Szegö-Markov-Bernstein inequalities and barycentric representations of the osculatory interpolating operators for classical iterated weights

DOI10.7153/jmi-2019-13-70zbMath1439.41008OpenAlexW3003114797WikidataQ126305617 ScholiaQ126305617MaRDI QIDQ5217462

Przemysław Rutka, Ryszard Smarzewski

Publication date: 28 February 2020

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jmi-2019-13-70

zbMATH Keywords

classical orthogonal polynomialsreproducing kernelChristoffel numbersbarycentric weightsMarkov-Bernstein-type inequalitiesSzegő-type inequalities

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Numerical interpolation (65D05) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Numerical quadrature and cubature formulas (65D32) Best constants in approximation theory (41A44)

Related Items (1)

Difference inequalities and barycentric identities for classical discrete iterated weights

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