Convergence properties of certain refinable quasi-interpolatory operators

DOI10.1016/j.apnum.2005.04.033zbMath1081.41015OpenAlexW1992828992MaRDI QIDQ2573275

Laura Gori, Elisabetta Santi

Publication date: 7 November 2005

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

Full work available at URL: https://doi.org/10.1016/j.apnum.2005.04.033

zbMATH Keywords

refinable functionscaling functionquasi-interpolatory operator

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Approximation by operators (in particular, by integral operators) (41A35)

Related Items

Refinable interpolatory and quasi-interpolatory operators ⋮ Numerical evaluation of certain hypersingular integrals using refinable operators ⋮ Integral refinable operators exact on polynomials ⋮ Multiresolution analyses originated from nonstationary subdivision schemes ⋮ Numerical evaluation of new quadrature rules using refinable operators ⋮ Near best refinable quasi-interpolants

Cites Work

• Refinable functions and positive operators
• Local spline approximation methods
• Using the Refinement Equation for Evaluating Integrals of Wavelets
• On the Galerkin method based on a particular class of scaling functions
• Positive refinable operators
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