Marcinkiewicz-Zygmund type results in multivariate domains

DOI10.1007/s10474-017-0769-4zbMath1413.41040OpenAlexW2765108379MaRDI QIDQ1705192

András Kroó, Stefano De Marchi

Publication date: 14 March 2018

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-017-0769-4

zbMATH Keywords

multivariate polynomialMarcinkiewicz-Zygmund-type inequality\(L^p\) optimal mesh

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Multidimensional problems (41A63)

Related Items (4)

𝐿^{𝑝}-Bernstein inequalities on 𝐶²-domains and applications to discretization ⋮ On discretizing uniform norms of exponential sums ⋮ Is hyperinterpolation efficient in the approximation of singular and oscillatory functions? ⋮ On discretizing integral norms of exponential sums

Cites Work

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• Polynomial approximation and cubature at approximate Fekete and Leja points of the cylinder
• On optimal polynomial meshes
• Uniform approximation by discrete least squares polynomials
• Weighted polynomial inequalities with doubling and \(A_\infty\) weights
• Spherical Marcinkiewicz-Zygmund inequalities and positive quadrature
• Weakly Admissible Meshes and Discrete Extremal Sets
• Error estimates for scattered data interpolation on spheres
• \(L_p\) Markov-Bernstein inequalities on arcs of the circle

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