Equally spaced points are optimal for Brownian Bridge kernel interpolation

DOI10.1016/j.aml.2022.108489OpenAlexW4308499902MaRDI QIDQ2106129

Gabriele Santin

Publication date: 8 December 2022

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.15959

zbMATH Keywords

samplingBrownian Bridgekernel interpolationGreen kernels

Mathematics Subject Classification ID

Numerical interpolation (65D05) Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Spline approximation (41A15)

Uses Software

• GaussQR

Cites Work

• Multivariate interpolation with increasingly flat radial basis functions of finite smoothness
• On convergence of flat multivariate interpolation by translation kernels with finite smoothness
• Reproducing kernels of generalized Sobolev spaces via a Green function approach with distributional operators
• On local linear functionals for L-splines
• Un metodo per la costruzione di smoothing splines naturali mono e bidimensionali
• Local support bases for a class of spline functions
• Reproducing kernels of Sobolev spaces via a Green kernel approach with differential operators and boundary operators
• Green’s Functions: Taking Another Look at Kernel Approximation, Radial Basis Functions, and Splines
• Scattered Data Approximation

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