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Алгебра и анализ, 1994, том 6, выпуск 3, страницы 200–230
(Mi aa459)
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Эта публикация цитируется в 18 научных статьях (всего в 18 статьях)
Статьи
Constructions of uniform distributions in terms of geometry of numbers
M. M. Skriganov St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Аннотация:
In the paper the author proves that the points of admissible lattices in the Euclidean space are distributed very uniformly in parallelepipeds. In particular, the remainder terms in the corresponding lattice point problem are found to be logarithmically small. As an application of these results point sets with the lowest possible discrepancies in the unit cube and quadrature formulas with the smallest possible errors in the classes of functions with anisotropic smoothness are given in terms of admissible lattices.
Ключевые слова:
Lattice point problem, uniform distributions, quadrature formulas.
Поступила в редакцию: 26.08.1993
Образец цитирования:
M. M. Skriganov, “Constructions of uniform distributions in terms of geometry of numbers”, Алгебра и анализ, 6:3 (1994), 200–230; St. Petersburg Math. J., 6:3 (1995), 635–664
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/aa459 https://www.mathnet.ru/rus/aa/v6/i3/p200
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Страница аннотации: | 614 | PDF полного текста: | 378 | Первая страница: | 1 |
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