The average errors for Lagrange interpolation on the Wiener space

DOI10.1007/S10114-012-0242-9zbMath1253.41003OpenAlexW2128161903MaRDI QIDQ1757936

Gui Qiao Xu

Publication date: 7 November 2012

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-012-0242-9

zbMATH Keywords

Lagrange interpolationChebyshev polynomialWiener spaceweighted \(L_p\)-norm

Mathematics Subject Classification ID

Numerical interpolation (65D05) Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Rate of convergence, degree of approximation (41A25)

Related Items (1)

The average errors for Hermite interpolation on the 1-fold integrated Wiener space

Cites Work

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• The average errors for Hermite-Fejér interpolation on the Wiener space
• Some Erdős-Feldheim type theorems on mean convergence of Lagrange interpolation
• Average error bounds of best approximation of continuous functions on the Wiener space
• Average-case analysis of numerical problems
• Approximation and optimization on the Wiener space

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