The average errors for Hermite-Fejér interpolation on the Wiener space

DOI10.1007/S11425-010-3136-2zbMath1211.41002OpenAlexW2076525347MaRDI QIDQ625778

Yingfang Du, Gui Qiao Xu

Publication date: 25 February 2011

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-010-3136-2

zbMATH Keywords

Hermite-Fejér interpolationWiener space

Mathematics Subject Classification ID

Numerical interpolation (65D05) Interpolation in approximation theory (41A05)

Related Items (2)

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

Cites Work

• Some Erdős-Feldheim type theorems on mean convergence of Lagrange interpolation
• An analogue of a problem of P. Erdős and E. Feldheim on \(L_ p\) convergence of interpolatory processes
• An upper bound for the rate of convergence of the Hermite-Fejer process on the extended Chebyshev nodes of the second kind
• 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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