Standard

Structural characterization of deviations of quasi-projectors on the real line. / Vinogradov, O. L.

In: Journal of Mathematical Analysis and Applications, Vol. 500, No. 1, 125115, 01.08.2021.

Research output: Contribution to journal › Article › peer-review

Harvard

Vinogradov, OL 2021, 'Structural characterization of deviations of quasi-projectors on the real line', Journal of Mathematical Analysis and Applications, vol. 500, no. 1, 125115. https://doi.org/10.1016/j.jmaa.2021.125115

APA

Vinogradov, O. L. (2021). Structural characterization of deviations of quasi-projectors on the real line. Journal of Mathematical Analysis and Applications, 500(1), [125115]. https://doi.org/10.1016/j.jmaa.2021.125115

Vancouver

Vinogradov OL. Structural characterization of deviations of quasi-projectors on the real line. Journal of Mathematical Analysis and Applications. 2021 Aug 1;500(1). 125115. https://doi.org/10.1016/j.jmaa.2021.125115

Author

Vinogradov, O. L. / Structural characterization of deviations of quasi-projectors on the real line. In: Journal of Mathematical Analysis and Applications. 2021 ; Vol. 500, No. 1.

BibTeX

@article{663d1dbcd34f46019bf5c821695009a6,
title = "Structural characterization of deviations of quasi-projectors on the real line",
abstract = "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.",
keywords = "Moduli of continuity, Quasi-projectors, Spaces of shifts",
author = "Vinogradov, {O. L.}",
note = "Publisher Copyright: {\textcopyright} 2021 Elsevier Inc.",
year = "2021",
month = aug,
day = "1",
doi = "10.1016/j.jmaa.2021.125115",
language = "English",
volume = "500",
journal = "Journal of Mathematical Analysis and Applications",
issn = "0022-247X",
publisher = "Elsevier",
number = "1",

}

RIS

TY - JOUR

T1 - Structural characterization of deviations of quasi-projectors on the real line

AU - Vinogradov, O. L.

N1 - Publisher Copyright: © 2021 Elsevier Inc.

PY - 2021/8/1

Y1 - 2021/8/1

N2 - 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.

AB - 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.

KW - Moduli of continuity

KW - Quasi-projectors

KW - Spaces of shifts

UR - http://www.scopus.com/inward/record.url?scp=85102315440&partnerID=8YFLogxK

U2 - 10.1016/j.jmaa.2021.125115

DO - 10.1016/j.jmaa.2021.125115

M3 - Article

AN - SCOPUS:85102315440

VL - 500

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

SN - 0022-247X

IS - 1

M1 - 125115

ER -

ID: 101356562