Minimum Sobolev norm interpolation with trigonometric polynomials on the torus

DOI10.1016/j.jcp.2013.03.041zbMath1302.41001OpenAlexW1996481970MaRDI QIDQ465563

Shivkumar Chandrasekaran, K. R. Jayaraman, Hrushikesh N. Mhaskar

Publication date: 23 October 2014

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2013.03.041

zbMATH Keywords

multivariate interpolationminimum Sobolev norm interpolationlocalized kernelsuniformly bounded interpolatory operators

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Multidimensional problems (41A63) Interpolation in approximation theory (41A05)

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• $L^p$ Bernstein estimates and approximation by spherical basis functions
• Complete Orthogonal Decomposition for Weighted Least Squares
• Approximation with interpolatory constraints

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