Structural characterization of deviations of quasi-projectors on the real line

We consider approximation by families of quasi-projection operators in the spaces Lp on the real line. We give upper and lower estimates for the approximation error in terms related to moduli of continuity and best approximations. Under certain conditions, upper and lower estimates coincide in a sen...

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2021-08, Vol.500 (1), p.125115, Article 125115
Main Author: Vinogradov, O.L.
Format: Article
Language:English
Subjects:
Moduli of continuity
Quasi-projectors
Spaces of shifts
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Summary:We consider approximation by families of quasi-projection operators in the spaces Lp on the real line. We give upper and lower estimates for the approximation error in terms related to moduli of continuity and best approximations. Under certain conditions, upper and lower estimates coincide in a sense of order, and we obtain complete structural characterization of the approximation error.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2021.125115