Approximation order provided by refinable function vectors
From MaRDI portal
Publication:1357858
DOI10.1007/BF02678465zbMath0870.41015MaRDI QIDQ1357858
Publication date: 8 September 1997
Published in: Constructive Approximation (Search for Journal in Brave)
Rate of convergence, degree of approximation (41A25) Approximation by other special function classes (41A30) Inner product spaces and their generalizations, Hilbert spaces (46C99) Harmonic analysis in one variable (42A99)
Related Items (48)
Framelets: MRA-based constructions of wavelet frames ⋮ Analytic functions in local shift-invariant spaces and analytic limits of level dependent subdivision ⋮ Extension principles for dual multiwavelet frames of \(L_2(\mathbb R^s)\) constructed from multirefinable generators ⋮ A construction of multiresolution analysis on interval ⋮ Raising approximation order of refinable vector by increasing multiplicity ⋮ Regularity of refinable function vectors ⋮ Construction for a class of interpolation multiscaling functions with dilation factora\(\geq \)3 ⋮ Wavelet approximation in Orlicz spaces ⋮ Gröbner bases and wavelet design ⋮ On multiresolution analysis of multiplicity \(d\) ⋮ On dimension extension of a class of iterative equations ⋮ Stability and independence of the shifts of finitely many refinable functions ⋮ Interpolating refinable function vectors with reflection properties ⋮ Exponential convergence of adaptive quarklet approximation ⋮ Interpolatory quad/triangle subdivision schemes for surface design ⋮ Correspondence between multiwavelet shrinkage and nonlinear diffusion ⋮ A new class of multi-wavelet bases: V-system ⋮ Approximation properties of wavelets on p-adic fields ⋮ Polynomial reproduction of vector subdivision schemes ⋮ A CONSTRUCTION OF CONVERGENT CASCADE ALGORITHMS IN SOBOLEV SPACES ⋮ Multiple refinable Hermite interpolants ⋮ INTERPOLATING SCALING VECTORS ⋮ Quad/triangle subdivision, nonhomogeneous refinement equation and polynomial reproduction ⋮ Approximation orders of shift-invariant subspaces of \(W_{2}^{s}(\mathbb R^d)\) ⋮ Approximation properties and construction of Hermite interpolants and biorthogonal multiwavelets ⋮ Construction of orthonormal multi-wavelets with additional vanishing moments ⋮ Scalar multivariate subdivision schemes and box splines ⋮ Noninterpolatory Hermite subdivision schemes ⋮ Characterising the accuracy of multivariable refinable functions via the symbol function ⋮ Differentiability of multivariate refinable functions and factorization ⋮ Accuracy conditions of multivariate refinable vector in frequency domain ⋮ On a family of biorthogonal armlets with prescribed properties ⋮ Construction of high order balanced multiscaling functions via PTST ⋮ HIGH APPROXIMATION ORDER BIORTHOGONAL MULTISCALING FUNCTIONS WITH DILATION FACTOR a ⋮ Construction of a class of compactly supported symmetric and balanced refinable function vector by GTST ⋮ Accuracy of lattice translates of several multidimensional refinable functions ⋮ Orthogonality criteria for multi-scaling functions ⋮ Parametrizations of symmetric orthogonal multifilter banks with different filter lengths ⋮ Approximation error for quasi-interpolators and (multi-)wavelet expansions ⋮ Symmetric-antisymmetric orthonormal multiwavelets and related scalar wavelets ⋮ Algebraic properties of subdivision operators with matrix mask and their applications ⋮ Vector subdivision schemes and multiple wavelets ⋮ Accuracy of multivariable refinable functions and two-scale similarity transform ⋮ Accuracy of several multidimensional refinable distributions ⋮ An algorithm for constructing biorthogonal multiwavelets with higher approximation orders ⋮ INFINITUDE OF MINIMALLY SUPPORTED TOTALLY INTERPOLATING BIORTHOGONAL MULTIWAVELET SYSTEMS WITH LOW APPROXIMATION ORDERS ⋮ Multiwavelets on the interval ⋮ Multivariate matrix refinable functions with arbitrary matrix dilation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Cardinal interpolation and spline functions. II: Interpolation of data of power growth
- Generalized wavelets and compactly supported scaling functions
- The structure of finitely generated shift-invariant spaces in \(L_ 2(\mathbb{R}^ d)\)
- Multi-resolution analysis of multiplicity \(d\): Applications to dyadic interpolation
- On local and controlled approximation order
- On multivariate approximation by integer translates of a basis function
- Approximation by multiinteger translates of functions having global support
- Two-scale symbol and autocorrelation symbol for B-splines with multiple knots
- Approximation by translates of refinable functions
- Wavelets in Wandering Subspaces
- Orthonormal bases of compactly supported wavelets
- Stationary subdivision
- Ten Lectures on Wavelets
- Two-Scale Difference Equations II. Local Regularity, Infinite Products of Matrices and Fractals
- A Class of Bases in $L^2$ for the Sparse Representation of Integral Operators
- Approximation from Shift-Invariant Subspaces of L 2 (ℝ d )
- Wavelets of Multiplicity r
This page was built for publication: Approximation order provided by refinable function vectors
