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

Differential Equations Section

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

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.

Original language	English
Pages (from-to)	1080-1090
Number of pages	11
Journal	Сибирские электронные математические известия
Volume	15
DOIs	https://doi.org/10.17377/semi.2018.15.090
Publication status	Published - 1 Jan 2018

Keywords

Cubature formulas
Embedding constants
Error functionals
Extremal functions
Minimal and almost minimal cubature formulas
The convergence order

OECD FOS+WOS

1.01 MATHEMATICS

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10.17377/semi.2018.15.090

Cite this

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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.",

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KW - Embedding constants

KW - Error functionals

KW - Extremal functions

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KW - The convergence order

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ER -

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

Abstract

Keywords

OECD FOS+WOS

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