Approximation error for quasi-interpolators and (multi-)wavelet expansions
From MaRDI portal
Publication:1283560
DOI10.1006/acha.1998.0249zbMath0936.41015OpenAlexW2096086749WikidataQ114830782 ScholiaQ114830782MaRDI QIDQ1283560
Publication date: 15 May 2000
Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)
Full work available at URL: https://infoscience.epfl.ch/record/63059/files/blu9801.pdf
multiresolution analysismultiwaveletsapproximation operatorstwo-scale relationrefinable generating functionsStrang-Fix conjecture
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35)
Related Items (16)
A strong converse inequality for generalized sampling operators ⋮ Quasi-interpolation in the Fourier algebra ⋮ A general sampling theorem for multiwavelet subspaces ⋮ The use of fractional B-splines wavelets in multiterms fractional ordinary differential equations ⋮ On the convergence properties of sampling Durrmeyer‐type operators in Orlicz spaces ⋮ Approximation of non-decaying signals from shift-invariant subspaces ⋮ A Galerkin Least Squares Approach for Photoacoustic Tomography ⋮ Inverse results of approximation and the saturation order for the sampling Kantorovich series ⋮ Approximation from shift-invariant spaces by generalized sampling formulas ⋮ ELLIPTIC SCALING FUNCTIONS AS COMPACTLY SUPPORTED MULTIVARIATE ANALOGS OF THE B-SPLINES ⋮ Regular multivariate sampling and approximation in \(L^p\) shift-invariant spaces ⋮ Approximation with scaled shift-invariant spaces by means of quasi-projection operators ⋮ Influence of Unknown Exterior Samples on Interpolated Values for Band-Limited Images ⋮ Support and approximation properties of Hermite splines ⋮ Sampling and reconstruction of sparse signals on circulant graphs. An introduction to graph-FRI ⋮ Wavelet decompositions of nonrefinable shift invariant spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A characterization of multivariate quasi-interpolation formulas and its applications
- The polynomials in the linear span of integer translates of a compactly supported function
- Quasi-interpolation with translates of a function having noncompact support
- The structure of finitely generated shift-invariant spaces in \(L_ 2(\mathbb{R}^ d)\)
- Multi-resolution analysis of multiplicity \(d\): Applications to dyadic interpolation
- \(L_ p\)-approximation by certain projection operators
- Approximation order provided by refinable function vectors
- Regularity of refinable function vectors
- Biorthogonal wavelet expansions
- Oblique and hierarchical multiwavelet bases
- Approximation by multiinteger translates of functions having global support
- Wavelets with exponential localization
- Quasi-orthogonality and quasi-projections
- Spline approximation by quasiinterpolants
- Coordinate order of approximation by functional-based approximation operators
- Order of linear approximation from shift-invariant spaces
- Approximation by translates of refinable functions
- Quantitative Fourier analysis of approximation techniques. I. Interpolators and projectors
- On the approximation order from certain multivariate spline spaces
- A theory for multiresolution signal decomposition: the wavelet representation
- Controlled Approximation and a Characterization of the Local Approximation Order
- A Counterexample to a Result Concerning Controlled Approximation
- Orthonormal bases of compactly supported wavelets
- On the asymptotic convergence of B-spline wavelets to Gabor functions
- Ten Lectures on Wavelets
- On Compactly Supported Spline Wavelets and a Duality Principle
- Wavelets and filter banks: theory and design
- Biorthogonal bases of compactly supported wavelets
- Approximation from Shift-Invariant Subspaces of L 2 (ℝ d )
- Sampling procedures in function spaces and asymptotic equivalence with shannon's sampling theory
- Wavelets of Multiplicity r
- Families of multiresolution and wavelet spaces with optimal properties
- Quadrature Formulae and Asymptotic Error Expansions for Wavelet Approximations of Smooth Functions
- Shift-invariant spaces on the real line
- On the approximation power of convolution-based least squares versus interpolation
- Iterated filter banks with rational rate changes connection with discrete wavelet transforms
- Oblique projections in atomic spaces
- Orthonormal Bases of Compactly Supported Wavelets III. Better Frequency Resolution
This page was built for publication: Approximation error for quasi-interpolators and (multi-)wavelet expansions
