Refinable functions and positive operators

DOI10.1016/j.apnum.2003.12.015zbMath1055.65153OpenAlexW2067215020MaRDI QIDQ598504

Francesca Pitolli, Laura Gori

Publication date: 6 August 2004

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2003.12.015

zbMATH Keywords

waveletsmultiresolution analysisB-splinestotal positivitylinear operators

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical methods for wavelets (65T60)

Related Items

A fractional spline collocation-Galerkin method for the time-fractional diffusion equation, Refinable interpolatory and quasi-interpolatory operators, Approximation by GP box-splines on a four-direction mesh, Integral refinable operators exact on polynomials, Recent results on wavelet bases on the interval generated by GP refinable functions, Numerical evaluation of new quadrature rules using refinable operators, Optimal B-spline bases for the numerical solution of fractional differential problems, Near best refinable quasi-interpolants, Convergence properties of certain refinable quasi-interpolatory operators

Cites Work

• The Petrov-Galerkin method for second kind integral equations. II: Multiwavelet schemes
• A method for the construction of families of biorthogonal filters with prescribed properties
• Stationary subdivision
• Ten Lectures on Wavelets
• On Refinement Equations Determined by Pólya Frequency Sequences
• Using the Refinement Equation for Evaluating Integrals of Wavelets
• Wavelet methods for PDEs -- some recent developments
• On the Galerkin method based on a particular class of scaling functions
• Positive refinable operators
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