| Title:
|
On the $L\sp 2$ discrepancy of distances of points from a finite sequence (English) |
| Author:
|
Strauch, Oto |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
40 |
| Issue:
|
3 |
| Year:
|
1990 |
| Pages:
|
245-259 |
| . |
| Category:
|
math |
| . |
| MSC:
|
11K06 |
| MSC:
|
65D30 |
| idZBL:
|
Zbl 0755.11022 |
| idMR:
|
MR1094777 |
| . |
| Date available:
|
2009-09-25T10:25:03Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/131903 |
| . |
| Reference:
|
[1] VINOGRADOV I. M.: On fractional parts of integer polynomials.(Russian.) Izv. AN SSSR, 20, 1926, 585-600. |
| Reference:
|
[2] VAN DER CORPUT J. G. PISOT C.: Sur la discrépance modulo un.Indag. Math., 1, 1939, pp. 143-152, 184-195, 260-269. |
| Reference:
|
[3] KUIPERS L., NIEDERREITER H.: Uniform Distribution of Sequences.J. Wiley, New York 1974. Zbl 0281.10001 |
| Reference:
|
[4] STRAUCH O.: Some applications of Franel-Kluyver's integral, II.Math. Slovaca, 39, 1989, No. 2, 127-140. Zbl 0671.10002 |
| Reference:
|
[5] NIEDERREITER H.: Application of diophantine approximations to numerical integration.Diophantine Approximation and its Applications, ed. C. F. Osgood. Academic Press, New York 1973, pp. 129-199. Zbl 0268.65014 |
| Reference:
|
[6] LeVEQUE W. J.: An inequality connected with Weyľs criterion for uniform distribution.Proc. Symp. Pure Math., Vol. VIII., American Math. Society, Providence 1965, p. 22-30. MR 0179150 |
| . |
