Тип публикации: статья из журнала
Год издания: 2009
Идентификатор DOI: 10.1134/S0965542509010011
Ключевые слова: cubature formulas in the space of Haar functions, error estimates for cubature formulas, estimate for the best convergence rate
Аннотация: On the spaces S-P, an upper estimate is found for the norm of the error functional delta(N)(f) of cubature formulas possessing the Haar d-property in the two-dimensional case. An asymptotic relation is proved for parallel to delta(N)(F)parallel to(sp*) with the number of nodes N similar to 2(d), where d -> infinity. For N similar tПоказать полностьюo 2(d) with d -> infinity, it is shown that the norm of delta(N) for the formulas under study has the best convergence rate, which is equal to N-1/P.
Журнал: COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS
Выпуск журнала: Vol. 49, Is. 1
Номера страниц: 1-11
ISSN журнала: 09655425
Место издания: NEW YORK
Издатель: MAIK NAUKA/INTERPERIODICA/SPRINGER