A shape-preserving quasi-interpolation operator satisfying quadratic polynomial reproduction property to scattered data

DOI10.1016/j.cam.2008.08.024zbMath1161.41002OpenAlexW2080809351MaRDI QIDQ1006022

J. Martínez

Publication date: 17 March 2009

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2008.08.024

zbMATH Keywords

scattered dataquasi-interpolationshape preserving propertymultiquadric functionapproximation capacity

Mathematics Subject Classification ID

Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Rate of convergence, degree of approximation (41A25)

Related Items (5)

A kind of multiquadric quasi-interpolation operator satisfying any degree polynomial reproduction property to scattered data ⋮ Univariate Lidstone-type multiquadric quasi-interpolants ⋮ On Multiscale Quasi-Interpolation of Scattered Scalar- and Manifold-Valued Functions ⋮ Bivariate quasi-interpolation operator of Bernoulli type ⋮ A new multiquadric quasi-interpolation operator with interpolation property

Cites Work

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• Univariate multiquadric approximation: Quasi-interpolation to scattered data
• Some shape-preserving quasi-interpolants to non-uniformly distributed data by MQ-B-splines
• A univariate quasi-multiquadric interpolation with better smoothness
• Operators on radial functions
• Shape preserving properties and convergence of univariate multiquadric quasi-interpolation
• Multiquadric \(B\)-splines
• Scattered Data Interpolation: Tests of Some Method
• Radial Basis Functions
• Scattered Data Approximation

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