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

V. L. Vaskevich

doi:10.17377/semi.2018.15.090

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

V. L. Vaskevich

Кафедра дифференциальных уравнений ММФ

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

Аннотация

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.

Язык оригинала	английский
Страницы (с-по)	1080-1090
Число страниц	11
Журнал	Сибирские электронные математические известия
Том	15
DOI	https://doi.org/10.17377/semi.2018.15.090
Состояние	Опубликовано - 1 янв 2018

Предметные области OECD FOS+WOS

1.01 МАТЕМАТИКА

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10.17377/semi.2018.15.090

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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.}",

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

В: Сибирские электронные математические известия, Том 15, 01.01.2018, стр. 1080-1090.

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

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KW - Cubature formulas

KW - Embedding constants

KW - Error functionals

KW - Extremal functions

KW - Minimal and almost minimal cubature formulas

KW - The convergence order

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