Convergence of cubature formulas of high trigonometric precision in multidimensional periodic sobolev spaces

Autor:	V. L. Vaskevich
Rok vydání:	2015
Předmět:	Sobolev space Error function General Mathematics Norm (mathematics) Mathematical analysis Mathematics::Classical Analysis and ODEs Applied mathematics Trigonometry Mathematics::Numerical Analysis Mathematics Sobolev inequality
Zdroj:	Siberian Advances in Mathematics. 25:297-304
ISSN:	1934-8126 1055-1344
DOI:	10.3103/s1055134415040069
Popis:	We establish convergence in a norm of cubature formulas of high trigonometric precision on multidimensional periodic Sobolev spaces including spaces of fractional smoothness. The main result is obtained under the conventional conditions on smoothness of the space of integrands and distribution of the nodes of the cubature formulas.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::2c464b1ba8f2a15603ebcd2c82e4b376 https://doi.org/10.3103/s1055134415040069 Zobrazit plný text záznamu Full text from SpringerLink