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Title: Lower bounds for the approximation with variation-diminishing splines
Author: Cerejeiras, Paula
Forster, Brigitte
Nagler, Johannes
Keywords: Schoenberg operator
Inverse theorem
Spectral theory
Issue Date: Feb-2016
Publisher: Elsevier
Abstract: We prove lower bounds for the approximation error of the variation-diminishing Schoenberg operator on the interval [0, 1] in terms of classical moduli of smoothness depending on the degree of the spline basis. For this purpose we use a functional analysis framework in order to characterize the spectrum of the Schoenberg operator and investigate the asymptotic behavior of its iterates.
Peer review: yes
DOI: 10.1016/j.jco.2015.08.002
ISSN: 0885-064X
Appears in Collections:CIDMA - Artigos
CHAG - Artigos

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