Metric distribution results for sequences ( { q n α → } )

Hansjörg Albrecher

Mathematica Slovaca (2002)

  • Volume: 52, Issue: 2, page 195-206
  • ISSN: 0232-0525

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Albrecher, Hansjörg. "Metric distribution results for sequences $(\lbrace q_n\vec{\alpha }\rbrace )$." Mathematica Slovaca 52.2 (2002): 195-206. <http://eudml.org/doc/31684>.

@article{Albrecher2002,
author = {Albrecher, Hansjörg},
journal = {Mathematica Slovaca},
keywords = {sequence; distribution; discrepancy; well-distribution},
language = {eng},
number = {2},
pages = {195-206},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Metric distribution results for sequences $(\lbrace q_n\vec\{\alpha \}\rbrace )$},
url = {http://eudml.org/doc/31684},
volume = {52},
year = {2002},
}

TY - JOUR
AU - Albrecher, Hansjörg
TI - Metric distribution results for sequences $(\lbrace q_n\vec{\alpha }\rbrace )$
JO - Mathematica Slovaca
PY - 2002
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 52
IS - 2
SP - 195
EP - 206
LA - eng
KW - sequence; distribution; discrepancy; well-distribution
UR - http://eudml.org/doc/31684
ER -

References

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  5. KUIPERS L., NIEDERREITER H., Uniform Distribution of Sequences, Pure Apr 1. Math., Wiley-Intersci. Publ., John Wiley & Sons, New York, 1974. (1974) Zbl0281.10001MR0419394
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  7. MÓRICZ F., SERFLING R., STOUT W., Moment and probability bounds with quasisuperadditive structure for the maximum partial sum, Ann. Probab. 10 (1982), 1032-1040. (1982) MR0672303
  8. PHILIPP W., TICHY R., Metric theorems for distribution measures of pseudorandom sequences, Monatsh. Math. (2001) (To appear). Zbl1033.11039MR1914808
  9. SCHOISSENGEIER J., The integral mean of the discrepancy of the sequence (nα), Monatsh. Math. 131 (2000), 227-234. Zbl0972.11067MR1801750
  10. STRAUCH O., An improvement of an inequality of Koksma, Indag. Math. (N.S.) 3 (1992), 113-118. (1992) Zbl0755.11023MR1157523
  11. STRAUCH O., L 2 discrepancy, Math. Slovaca 44 (1994), 601-632. (1994) MR1338433
  12. ZINTERHOF P., Über einige Abschatzungen bei der Approximation von Funktionen mit Gleichverteilungsmethoden, Sitzungsber. Österreich. Akad. Wiss. Math.-Natur. Kl. II 185 (1976), 121-132. (1976) MR0501760

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