On the constants in the estimates of the rate of convergence in the Birkhoff Ergodic theorem

被引：4

作者：

Kachurovskii, A. G. ^{[1
]}

Sedalishchev, V. V. ^{[2
]}

机构：

[1] Russian Acad Sci, Sobolev Inst Math, Novosibirsk, Russia

[2] Novosibirsk State Univ, Novosibirsk, Russia

来源：

MATHEMATICAL NOTES | 2012年 / 91卷 / 3-4期

关键词：

ergodic theorems; rates of convergence; spectral measures; correlation coefficients; stationary processes in the wide sense; EPSILON-DEVIATIONS; VON NEUMANNS;

D O I：

10.1134/S0001434612030340

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

[No abstract available]

引用

页码：582 / 587

页数：6

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[2]

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[3]

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[4]

Gaposhkin VF., 1975, IZV AKAD NAUK SSSR M, V39, P1366

[5] Constants in estimates for the rates of convergence in von Neumann's and Birkhoff's ergodic theorems [J].

Kachurovskii, A. G. ;

Sedalishchev, V. V. .

SBORNIK MATHEMATICS, 2011, 202 (08) :1105-1125

[6] The rate of convergence in ergodic theorems [J].

Kachurovskii, AG .

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[7] MOMENT INEQUALITIES AND STRONG LAWS OF LARGE NUMBERS [J].

MORICZ, F .

ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1976, 35 (04) :299-314

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