Controlled Approximation and a Characterization of the Local Approximation Order
From MaRDI portal
Publication:3721130
DOI10.2307/2045841zbMath0592.41027OpenAlexW4248346918MaRDI QIDQ3721130
Publication date: 1985
Full work available at URL: https://doi.org/10.2307/2045841
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Multidimensional problems (41A63) Rate of convergence, degree of approximation (41A25) Spline approximation (41A15)
Related Items
A multivariate analog of Marsden's identity and a quasi-interpolation scheme, The polynomials in the linear span of integer translates of a compactly supported function, Continuous refinement equations and subdivision, Approximation from shift-invariant spaces, An upper bound on the approximation power of principal shift-invariant spaces, On wavelets and prewavelets with vanishing moments in higher dimensions, A Characterization of the Approximation Order of Translation Invariant Spaces of Functions, Moving least-square reproducing kernel method. II: Fourier analysis, On the approximation order of principal shift-invariant subspaces of \(L_ p(\mathbb{R}^d)\), Approximation on variable exponent spaces by linear integral operators, Approximation of non-decaying signals from shift-invariant subspaces, Study on the generator \(f\) of the operators \(I_n\) and \(I_t\), A characterization of multivariate quasi-interpolation formulas and its applications, Quasi-interpolation with translates of a function having noncompact support, Linear independence of the translates of an exponential box spline, The optimal coefficients in Daubechies wavelets, A \(\widetilde{\mathcal{C}}^2\) spline quasi-interpolant for fitting 3D data on the sphere and applications, Fourier analysis of the approximation power of principal shift-invariant spaces, An introduction to Schoenberg's approximation, Affine synthesis onto \(L^p\) when \(0< p \leq 1\), Where there's a Will there's a way -- the research of Will Light, Scattered date interpolation from principal shift-invariant spaces, On multivariate approximation by integer translates of a basis function, Approximation error for quasi-interpolators and (multi-)wavelet expansions, A Natural Formulation of Quasi-Interpolation by Multivariate Splines, Construction of nonlinear approximation schemes for piecewise smooth data
Cites Work