Construction techniques for highly accurate quasi-interpolation operators

DOI10.1006/jath.1996.3101zbMath0904.41012OpenAlexW1964130785MaRDI QIDQ1379649

Robert Schaback, Zong Min Wu

Publication date: 25 February 1998

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

Full work available at URL: https://semanticscholar.org/paper/11a017117302abe71d371ce409c99b79d01b6846

zbMATH Keywords

order of convergencequasi-interpolationStrang-Fix conditions

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Rate of convergence, degree of approximation (41A25) Approximation by other special function classes (41A30)

Related Items

Divergence-free quasi-interpolation, Compactly supported radial functions and the Strang-Fix condition, Quasi-interpolation in the Fourier algebra, Meshless conservative scheme for multivariate nonlinear Hamiltonian PDEs, Unconditional convergence of iterative approximation methods, Numerical investigation of the generalized Burgers-Huxley equation using combination of multiquadric quasi-interpolation and method of lines, Approximate approximations from scattered data, Pointwise and uniform approximation by multivariate neural network operators of the max-product type, An iterated quasi-interpolation approach for derivative approximation, Constructing radial kernels with higher-order generalized Strang-Fix conditions, Quasi-interpolation for linear functional data, Conservative multiquadric quasi-interpolation method for Hamiltonian wave equations, A kernel-based discretisation method for first order partial differential equations, Dynamically knots setting in meshless method for solving time-dependent propagations equation, On quasi-interpolation with non-uniformly distributed centers on domains and manifolds, Generalized Strang-Fix condition for scattered data quasi-interpolation, High-order numerical solution of time-dependent differential equations with quasi-interpolation, Multivariate quasi-interpolation inL^p(ℝ^d) with radial basis functions for scattered data

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