L 2 discrepancy

Oto Strauch

Mathematica Slovaca (1994)

  • Volume: 44, Issue: 5, page 601-632
  • ISSN: 0139-9918

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Strauch, Oto. "$L^2$ discrepancy." Mathematica Slovaca 44.5 (1994): 601-632. <http://eudml.org/doc/34403>.

@article{Strauch1994,
author = {Strauch, Oto},
journal = {Mathematica Slovaca},
keywords = {measure; generalized -discrepancy; topology; partial ordering; -discrepancy; counting functions; distribution functions; Baire properties},
language = {eng},
number = {5},
pages = {601-632},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {$L^2$ discrepancy},
url = {http://eudml.org/doc/34403},
volume = {44},
year = {1994},
}

TY - JOUR
AU - Strauch, Oto
TI - $L^2$ discrepancy
JO - Mathematica Slovaca
PY - 1994
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 44
IS - 5
SP - 601
EP - 632
LA - eng
KW - measure; generalized -discrepancy; topology; partial ordering; -discrepancy; counting functions; distribution functions; Baire properties
UR - http://eudml.org/doc/34403
ER -

References

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  5. DE MATHAN B., Approximations diophantiennes dans un corps local, Bull. Soc. Math. France, Mémoire 21 (1970). (1970) Zbl0221.10037MR0274396
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  10. WINKLER R., Some remarks on pseudorandom sequences, Math. Slovaca 43 (1993), 493-512. (1993) Zbl0813.65001MR1248982
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  14. WEYL H., Über die Gleгchverteгlung von Zahlen mod. Eins, Math. Ann. 77 (1916), 313-352. (1916) MR1511862
  15. VAN DER CORPUT J. G.-PISOT C., Sur la discrépance modulo un, Indag. Math. 1 (1939), 143-153, 184-195, 260-269. (1939) Zbl0022.11605
  16. FAST H., Sur la convergence statistique, Colloq. Math. 2 (1951), 241-244. (1951) Zbl0044.33605MR0048548
  17. SCHOENBERG I. J., The integrability of certain functions and related summability methods, Amer. Math. Monthly 66 (1959), 361-375. (1959) Zbl0089.04002MR0104946
  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. (1973) Zbl0268.65014MR0357357
  19. KOKSMA J. F., Een algemeene stelling uit de theorie der gelijmatige verdeeling modulo 1, Mathematica B (Zutphen) 11 (1942/43), 7-11. (1942) MR0015094
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