Error bounds for multiquadrics without added constants

DOI10.1016/j.jat.2017.03.001zbMath1431.41011OpenAlexW2598629902MaRDI QIDQ2397458

O. V. Davydov, Martin D. Buhmann

Publication date: 22 May 2017

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2017.03.001

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Approximation by other special function classes (41A30)

Cites Work

• Interpolation of scattered data: distance matrices and conditionally positive definite functions
• Error bounds for anisotropic RBF interpolation
• Bounds on multivariate polynomials and exponential error estimates for multiquadric interpolation
• Pointwise approximation with quasi-interpolation by radial basis functions
• Theoretical and computational aspects of multivariate interpolation with increasingly flat radial basis functions
• Error bounds for kernel-based numerical differentiation
• Metric spaces and completely monontone functions
• Function spaces for conditionally positive definite operator-valued kernels
• Local error estimates for radial basis function interpolation of scattered data
• Spectral convergence of multiquadric interpolation
• Radial Basis Functions
• Theory of Reproducing Kernels
• Scattered Data Approximation
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