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The error estimates of minimal and almost minimal cubature formulas on classes of periodic functions. / Vaskevich, V. L.

In: Сибирские электронные математические известия, Vol. 15, 01.01.2018, p. 1080-1090.

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

Harvard

Vaskevich, VL 2018, 'The error estimates of minimal and almost minimal cubature formulas on classes of periodic functions', Сибирские электронные математические известия, vol. 15, pp. 1080-1090. https://doi.org/10.17377/semi.2018.15.090

APA

Vaskevich, V. L. (2018). The error estimates of minimal and almost minimal cubature formulas on classes of periodic functions. Сибирские электронные математические известия, 15, 1080-1090. https://doi.org/10.17377/semi.2018.15.090

Vancouver

Vaskevich VL. The error estimates of minimal and almost minimal cubature formulas on classes of periodic functions. Сибирские электронные математические известия. 2018 Jan 1;15:1080-1090. doi: 10.17377/semi.2018.15.090

Author

Vaskevich, V. L. / The error estimates of minimal and almost minimal cubature formulas on classes of periodic functions. In: Сибирские электронные математические известия. 2018 ; Vol. 15. pp. 1080-1090.

BibTeX

@article{001f6bf040fa4b13a626d2ed834af3bb,
title = "The error estimates of minimal and almost minimal cubature formulas on classes of periodic functions",
abstract = "A power-law order of convergence to zero of a sequence of norms of error functionals for minimal and almost minimal cubature formulas is established. Functionals act on multidimensional periodic Sobolev spaces, including on spaces with fractional smoothness.",
keywords = "Cubature formulas, Embedding constants, Error functionals, Extremal functions, Minimal and almost minimal cubature formulas, The convergence order",
author = "Vaskevich, {V. L.}",
year = "2018",
month = jan,
day = "1",
doi = "10.17377/semi.2018.15.090",
language = "English",
volume = "15",
pages = "1080--1090",
journal = "Сибирские электронные математические известия",
issn = "1813-3304",
publisher = "Sobolev Institute of Mathematics",

}

RIS

TY - JOUR

T1 - The error estimates of minimal and almost minimal cubature formulas on classes of periodic functions

AU - Vaskevich, V. L.

PY - 2018/1/1

Y1 - 2018/1/1

N2 - A power-law order of convergence to zero of a sequence of norms of error functionals for minimal and almost minimal cubature formulas is established. Functionals act on multidimensional periodic Sobolev spaces, including on spaces with fractional smoothness.

AB - A power-law order of convergence to zero of a sequence of norms of error functionals for minimal and almost minimal cubature formulas is established. Functionals act on multidimensional periodic Sobolev spaces, including on spaces with fractional smoothness.

KW - Cubature formulas

KW - Embedding constants

KW - Error functionals

KW - Extremal functions

KW - Minimal and almost minimal cubature formulas

KW - The convergence order

UR - http://www.scopus.com/inward/record.url?scp=85066989632&partnerID=8YFLogxK

U2 - 10.17377/semi.2018.15.090

DO - 10.17377/semi.2018.15.090

M3 - Article

AN - SCOPUS:85066989632

VL - 15

SP - 1080

EP - 1090

JO - Сибирские электронные математические известия

JF - Сибирские электронные математические известия

SN - 1813-3304

ER -

ID: 20586296