De la Vallée Poussin means in Hardy spaces

DOI10.1007/s00025-017-0712-6zbMath1376.41017OpenAlexW2658079930MaRDI QIDQ1682593

Yingwei Chen, Guang Bin Ren

Publication date: 30 November 2017

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-017-0712-6

zbMATH Keywords

Hardy spacesmodulus of smoothnessde la Vallée Poussin meansBernstein's inequalityJackson's theorem

Mathematics Subject Classification ID

(H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Approximation by operators (in particular, by integral operators) (41A35)

Cites Work

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• The \(L^1\) norms of de la Vallée Poussin kernels
• A Korovkin's type approximation theorem for periodic functions via the statistical summability of the generalized de la Vallée Poussin mean
• Asymptotic approximation by de la Vallée Poussin means and their derivatives
• On the de la Vallée-Poussin means on the sphere
• On the singular integral of de la Vallee-Poussin
• Remarks on de la Vallée Poussin means and convex conformal maps of the circle
• A continuous extension of the de la Vallée Poussin means
• Convolution-type integral operators in complex approximation
• The strong converse inequality for de la Vall\'{e}e Poussin means on the sphere
• Approximation by polynomials on quaternionic compact sets
• Spaces of Holomorphic Functions in the Unit Ball
• Bounded Analytic Functions

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