On Chebyshev-type integral quasi-interpolation operators

DOI10.1016/j.matcom.2009.04.014zbMath1201.65018OpenAlexW2090801000MaRDI QIDQ730870

D. Kharzeev

Publication date: 1 October 2009

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2009.04.014

zbMATH Keywords

numerical experimentsB-splinesintegral quasi-interpolantsChebyshev-type integral quasi-interpolantpiecewise polynomial partition of unityquasi-interpolation error

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical interpolation (65D05)

Related Items (9)

Computing the range of values of real functions using B-spline form ⋮ A superconvergent cubic spline quasi-interpolant and application ⋮ Superconvergent local quasi-interpolants based on special multivariate quadratic spline space over a refined quadrangulation ⋮ A general spline differential quadrature method based on quasi-interpolation ⋮ Superconvergent spline quasi-interpolants and an application to numerical integration ⋮ Multiquadric quasi-interpolation for integral functionals ⋮ Approximation orders and shape preserving properties of the multiquadric trigonometric B-spline quasi-interpolant ⋮ A general method for constructing quasi-interpolants from B-splines ⋮ Computing quasi-interpolants from the B-form of B-splines

Cites Work

• Near minimally normed spline quasi-interpolants on uniform partitions
• Histopolating splines
• On minimal and quasi-minimal supported bivariate splines
• Box splines
• On measuring the efficiency of kernel operators in \(L_p(\mathbb R^d)\)
• Interpolation and approximation by polynomials
• A spline interpolation technique that preserves mass budgets
• On Chebyshev-type discrete quasi-interpolants
• Near-best quasi-interpolants associated with \(H\)-splines on a three-direction mesh
• Central factorial numbers; their main properties and some applications.
• Positive spline operators and orthogonal splines
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