Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/15152
Title: | Lower bounds for the approximation with variation-diminishing splines |
Author: | Cerejeiras, Paula Forster, Brigitte Nagler, Johannes |
Keywords: | Schoenberg operator Inverse theorem Iterates 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 |
URI: | http://hdl.handle.net/10773/15152 |
DOI: | 10.1016/j.jco.2015.08.002 |
ISSN: | 0885-064X |
Appears in Collections: | CIDMA - Artigos CHAG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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1-s2.0-S0885064X15000813-main.pdf | Main article | 373.39 kB | Adobe PDF | |
manuscript_preprint.pdf | 241.67 kB | Adobe PDF | View/Open |
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