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Approximation by sampling-type operators in Lp-spaces. / Kolomoitsev, Yurii; Skopina, Maria.

In: Mathematical Methods in the Applied Sciences, Vol. 43, No. 16, 15.11.2020, p. 9358-9374.

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

Harvard

Kolomoitsev, Y & Skopina, M 2020, 'Approximation by sampling-type operators in Lp-spaces', Mathematical Methods in the Applied Sciences, vol. 43, no. 16, pp. 9358-9374. https://doi.org/10.1002/mma.6222

APA

Kolomoitsev, Y., & Skopina, M. (2020). Approximation by sampling-type operators in Lp-spaces. Mathematical Methods in the Applied Sciences, 43(16), 9358-9374. https://doi.org/10.1002/mma.6222

Vancouver

Kolomoitsev Y, Skopina M. Approximation by sampling-type operators in Lp-spaces. Mathematical Methods in the Applied Sciences. 2020 Nov 15;43(16):9358-9374. https://doi.org/10.1002/mma.6222

Author

Kolomoitsev, Yurii ; Skopina, Maria. / Approximation by sampling-type operators in Lp-spaces. In: Mathematical Methods in the Applied Sciences. 2020 ; Vol. 43, No. 16. pp. 9358-9374.

BibTeX

@article{162371a1a3b14c1d925dfc7af825af12,
title = "Approximation by sampling-type operators in Lp-spaces",
abstract = "Approximation properties of the sampling-type quasi-projection operators (Formula presented.) for functions f from anisotropic Besov spaces are studied. Error estimates in lp -norm are obtained for a large class of tempered distributions (Formula presented.) and a large class of functions 휑 under the assumptions that 휑 has enough decay, satisfies the Strang-Fix conditions, and has a compatibility condition with (Formula presented.). The estimates are given in terms of moduli of smoothness and best approximations.",
keywords = "best approximation, error estimate, moduli of smoothness, sampling-type operators, INEQUALITIES, SERIES, FOURIER, ERROR",
author = "Yurii Kolomoitsev and Maria Skopina",
note = "Publisher Copyright: {\textcopyright} 2020 John Wiley & Sons, Ltd.",
year = "2020",
month = nov,
day = "15",
doi = "10.1002/mma.6222",
language = "English",
volume = "43",
pages = "9358--9374",
journal = "Mathematical Methods in the Applied Sciences",
issn = "0170-4214",
publisher = "Wiley-Blackwell",
number = "16",

}

RIS

TY - JOUR

T1 - Approximation by sampling-type operators in Lp-spaces

AU - Kolomoitsev, Yurii

AU - Skopina, Maria

N1 - Publisher Copyright: © 2020 John Wiley & Sons, Ltd.

PY - 2020/11/15

Y1 - 2020/11/15

N2 - Approximation properties of the sampling-type quasi-projection operators (Formula presented.) for functions f from anisotropic Besov spaces are studied. Error estimates in lp -norm are obtained for a large class of tempered distributions (Formula presented.) and a large class of functions 휑 under the assumptions that 휑 has enough decay, satisfies the Strang-Fix conditions, and has a compatibility condition with (Formula presented.). The estimates are given in terms of moduli of smoothness and best approximations.

AB - Approximation properties of the sampling-type quasi-projection operators (Formula presented.) for functions f from anisotropic Besov spaces are studied. Error estimates in lp -norm are obtained for a large class of tempered distributions (Formula presented.) and a large class of functions 휑 under the assumptions that 휑 has enough decay, satisfies the Strang-Fix conditions, and has a compatibility condition with (Formula presented.). The estimates are given in terms of moduli of smoothness and best approximations.

KW - best approximation

KW - error estimate

KW - moduli of smoothness

KW - sampling-type operators

KW - INEQUALITIES

KW - SERIES

KW - FOURIER

KW - ERROR

UR - http://www.scopus.com/inward/record.url?scp=85078678763&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/cb43f807-3b6a-33e5-9621-d1124a33e247/

U2 - 10.1002/mma.6222

DO - 10.1002/mma.6222

M3 - Article

AN - SCOPUS:85078678763

VL - 43

SP - 9358

EP - 9374

JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

SN - 0170-4214

IS - 16

ER -

ID: 62159115