On Chebyshev-type discrete quasi-interpolants

Authors:
María José Ibáñez-Pérez
Affiliations:
Departamento de Matemática Aplicada, Universidad de Granada, Campus Universitario de Fuentenueva s/n, 18071 Granada, Spain
Venue:
Mathematics and Computers in Simulation
Year:
2008

Citing 4
Cited 3

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Some examples of quasi-interpolants constructed from local spline projectors

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On Chebyshev-type integral quasi-interpolation operators

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A general method for constructing quasi-interpolants from B-splines

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Computing quasi-interpolants from the B-form of B-splines

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Abstract

In this paper new discrete quasi-interpolants on the real line are defined with good error constants for enough regular functions. Some oversampling is permitted in order to have some freedom degrees and so a minimization problem is established. This problem has always a solution that can be characterized in terms of the best uniform approximation by constant functions to some appropriate splines. Some examples are given and the error is analyzed.