| Title:
|
$L\sp 2$ discrepancy (English) |
| Author:
|
Strauch, Oto |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
44 |
| Issue:
|
5 |
| Year:
|
1994 |
| Pages:
|
601-632 |
| . |
| Category:
|
math |
| . |
| MSC:
|
11K06 |
| idZBL:
|
Zbl 0818.11029 |
| idMR:
|
MR1338433 |
| . |
| Date available:
|
2009-09-25T11:02:43Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136633 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
[4] LEVEQUE W. J.: An inequality connected with Weyľs criterion for uniform distribution.In: Theory of Numbers. Proc. Sympos. Pure Math., Calif. Inst. Tech., Pasadena, Calif. 1963. Vol. VIII, Amer. Math. Soc, Providence, R. I., 1965, pp. 22-30. MR 0179150 |
| Reference:
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| Reference:
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| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
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[10] WINKLER R.: Some remarks on pseudorandom sequences.Math. Slovaca 43 (1993), 493-512. Zbl 0813.65001, MR 1248982 |
| Reference:
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[11] ZINTERHOF P.: Über einige Abschätzungen bei der Approximation von Funktionen mit Gleгchverteilungsmethoden.Sitzungsber. Österreich. Akad. Wiss. Math.-Natur. Kl II 185 (1976), 121-132. MR 0501760 |
| Reference:
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[12] GOLDSTERN M.: The complexity of uniform distribution.Math. Slovaca 44 (1994), 491-500. Zbl 0820.03031, MR 1338422 |
| Reference:
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[13] DOBROVOLSKII N. M.: An effective proof of Roth's theorem on quadratic deviation.(Russian), Uspekhi Mat. Nauk 39 (1984), 155-156. MR 0753777 |
| Reference:
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| Reference:
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[15] VAN DER CORPUT J. G.-PISOT C.: Sur la discrépance modulo un.Indag. Math. 1 (1939), 143-153, 184-195, 260-269. Zbl 0022.11605 |
| Reference:
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[16] FAST H. : Sur la convergence statistique.Colloq. Math. 2 (1951), 241-244. Zbl 0044.33605, MR 0048548 |
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[17] SCHOENBERG I. J.: The integrability of certain functions and related summability methods.Amer. Math. Monthly 66 (1959), 361-375. Zbl 0089.04002, MR 0104946 |
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[18] NIEDERREITER H.: Application of diophantine approximations to numerical integration.In: Diophantine Approximation and Its Applications (C F. Osgood, ed.), Academic Press, New York, 1973, pp. 129-199. Zbl 0268.65014, MR 0357357 |
| Reference:
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[19] KOKSMA J. F.: Een algemeene stelling uit de theorie der gelijmatige verdeeling modulo 1.Mathematica B (Zutphen) 11 (1942/43), 7-11. MR 0015094 |
| Reference:
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[20] GRABNER P. J., ICHY R. F.: Remarks on statistical independence of sequences.Math. Slovaca 44 (1994), 91-94. MR 1290276 |
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| . |
