Multiscale interpolation on the sphere: convergence rate and inverse theorem
From MaRDI portal
Publication:1663559
DOI10.1016/j.amc.2015.04.032zbMath1410.65021OpenAlexW261464621MaRDI QIDQ1663559
Publication date: 21 August 2018
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2015.04.032
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Numerical interpolation (65D05) Multidimensional problems (41A63) Inverse theorems in approximation theory (41A27)
Related Items (2)
Hermite-Birkhoff interpolation on scattered data on the sphere and other manifolds ⋮ Solving Partial Differential Equations with Multiscale Radial Basis Functions
Uses Software
Cites Work
- Multiscale approximation for functions in arbitrary Sobolev spaces by scaled radial basis functions on the unit sphere
- Multiscale analysis in Sobolev spaces on bounded domains
- Continuous and discrete least-squares approximation by radial basis functions on spheres
- Approximation on the sphere using radial basis functions plus polynomials
- Approximation power of RBFs and their associated SBFs: a connection
- Distributing many points on a sphere
- Approximation in Sobolev spaces by kernel expansions
- Approximation in rough native spaces by shifts of smooth kernels on spheres
- \(L_{p}\)-error estimates for radial basis function interpolation on the sphere
- Polynomial interpolation and hyperinterpolation over general regions
- Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
- Constructive polynomial approximation on the sphere
- Direct and inverse Sobolev error estimates for scattered data interpolation via spherical basis functions
- Spherical harmonics
- Positive definite functions on spheres
- Multiscale Analysis in Sobolev Spaces on the Sphere
- LpError Estimates for Scattered Data Interpolation On Spheres
- Multivariate interpolation of large sets of scattered data
- Scattered Data Interpolation: Tests of Some Method
- Strictly Positive Definite Functions on Spheres
- Error estimates for scattered data interpolation on spheres
- Strictly positive definite functions on spheres in Euclidean spaces
- Scattered Data Interpolation on Spheres: Error Estimates and Locally Supported Basis Functions
- A necessary and sufficient condition for strictly positive definite functions on spheres
- Scattered Data Approximation
- Interpolation by polynomials and radial basis functions on spheres
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Multiscale interpolation on the sphere: convergence rate and inverse theorem
