Deviations of Fejer Sums and Rates of Convergence in the von Neumann Ergodic Theorem | Sciact - Система учета научной деятельности ИМ СО РАН

Deviations of Fejer Sums and Rates of Convergence in the von Neumann Ergodic Theorem Научная публикация

Журнал

Doklady Mathematics
ISSN: 1064-5624 , E-ISSN: 1531-8362

Вых. Данные

Год: 2018, Том: 97, Номер: 3, Страницы: 211-214 Страниц : 4 DOI: 10.1134/S1064562418030031

Авторы

Kachurovskii A.G. ¹ , Knizhov K.I. ²

Организации

1	Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russian Federation
2	Novosibirsk State University, Novosibirsk, 630090, Russian Federation

It turns out that the deviations of the Fejer sums for continuous 2π-periodic functions and the rates of convergence in the von Neumann ergodic theorem can both be calculated using, in fact, the same formulas (by integrating the Fejer kernels). As a result, for many dynamical systems popular in applications, the rates of convergence in the von Neumann ergodic theorem can be estimated with a sharp leading coefficient of the asymptotic by applying S.N. Bernstein’s more than hundred-year old results in harmonic analysis. © 2018, Pleiades Publishing, Ltd.

Kachurovskii A.G. , Knizhov K.I.
Deviations of Fejer Sums and Rates of Convergence in the von Neumann Ergodic Theorem
Doklady Mathematics. 2018. V.97. N3. P.211-214. DOI: 10.1134/S1064562418030031 WOS Scopus РИНЦ OpenAlex

Качуровский A.Г. , Книжов К.И.
Уклонения сумм Фейера и скорости сходимости в эргодической теореме фон Неймана
Доклады академии наук. 2018. Т.480. №1. С.21-24. DOI: 10.7868/s0869565218130042 РИНЦ MathNet OpenAlex

Web of science:	WOS:000438890200004
Scopus:	2-s2.0-85050139539
РИНЦ:	35747107
OpenAlex:	W2884743484

БД	Цитирований
Scopus	3
Web of science	3
РИНЦ	3
OpenAlex	4