On the L 2 discrepancy of distances of points from a finite sequence

Oto Strauch

Mathematica Slovaca (1990)

  • Volume: 40, Issue: 3, page 245-259
  • ISSN: 0232-0525

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Strauch, Oto. "On the $L^2$ discrepancy of distances of points from a finite sequence." Mathematica Slovaca 40.3 (1990): 245-259. <http://eudml.org/doc/32216>.

@article{Strauch1990,
author = {Strauch, Oto},
journal = {Mathematica Slovaca},
keywords = {quadrature formulae; explicit formula; -discrepancy; integral formulas for Stieltjes integrals},
language = {eng},
number = {3},
pages = {245-259},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On the $L^2$ discrepancy of distances of points from a finite sequence},
url = {http://eudml.org/doc/32216},
volume = {40},
year = {1990},
}

TY - JOUR
AU - Strauch, Oto
TI - On the $L^2$ discrepancy of distances of points from a finite sequence
JO - Mathematica Slovaca
PY - 1990
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 40
IS - 3
SP - 245
EP - 259
LA - eng
KW - quadrature formulae; explicit formula; -discrepancy; integral formulas for Stieltjes integrals
UR - http://eudml.org/doc/32216
ER -

References

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  1. VINOGRADOV I. M., On fractional parts of integer polynomials, (Russian.) Izv. AN SSSR, 20, 1926, 585-600. (1926) 
  2. VAN DER CORPUT J. G. PISOT C., Sur la discrépance modulo un, Indag. Math., 1, 1939, pp. 143-152, 184-195, 260-269. (1939) 
  3. KUIPERS L., NIEDERREITER H., Uniform Distribution of Sequences, J. Wiley, New York 1974. (1974) Zbl0281.10001
  4. STRAUCH O., Some applications of Franel-Kluyver's integral, II, Math. Slovaca, 39, 1989, No. 2, 127-140. (1989) Zbl0671.10002
  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. (1973) Zbl0268.65014
  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. (1965) MR0179150

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