Quantitative rearrangement theorems

Gerhard Larcher

Compositio Mathematica (1986)

  • Volume: 60, Issue: 2, page 251-259
  • ISSN: 0010-437X

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Larcher, Gerhard. "Quantitative rearrangement theorems." Compositio Mathematica 60.2 (1986): 251-259. <http://eudml.org/doc/89808>.

@article{Larcher1986,
author = {Larcher, Gerhard},
journal = {Compositio Mathematica},
keywords = {rearrangement theorems; compact metric space; dispersion},
language = {eng},
number = {2},
pages = {251-259},
publisher = {Martinus Nijhoff Publishers},
title = {Quantitative rearrangement theorems},
url = {http://eudml.org/doc/89808},
volume = {60},
year = {1986},
}

TY - JOUR
AU - Larcher, Gerhard
TI - Quantitative rearrangement theorems
JO - Compositio Mathematica
PY - 1986
PB - Martinus Nijhoff Publishers
VL - 60
IS - 2
SP - 251
EP - 259
LA - eng
KW - rearrangement theorems; compact metric space; dispersion
UR - http://eudml.org/doc/89808
ER -

References

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  1. [1] J. Descovich: Zur Theorie der Gleichverteilung auf kompakten Räumen. Sitzungsber. Österr. Akad. Wiss. Math.-naturw. Kl. Abt. II178 (1969) 263-283. Zbl0217.32702MR272737
  2. [2] E. Hlawka: Folgen auf kompakten Räumen. Abh. Math. Sem. Univ. Hamburg20 (1956) 223-241. Zbl0072.05701MR81368
  3. [3] E. Hlawka: Folgen auf kompakten Räumen II. Math. Nachr.18 (1958) 188-202. Zbl0082.04102MR99556
  4. [4] L. Kuipers and H. Niederreiter: Uniform distribution of sequences. Wiley, New York (1974). Zbl0281.10001MR419394
  5. [5] H. Niederreiter: Rearrangement theorems for sequences. In: Astérisque24-25 (1975) 243-261. Zbl0306.10035MR387225
  6. [6] H. Niederreiter: A general rearrangement theorem for sequences. Arch. Math.43 (1984) 530-534. Zbl0536.54020MR775741
  7. [7] H. Niederreiter: Quasi-Monte Carlo methods for global optimization. Proc. Fourth Pannonian Symp. on Math. Statistics. (Bad Tatzmannsdorf, 1983), Reidel, Dordrecht. Zbl0603.65043MR851058
  8. [8] W.M. Schmidt: Irregularities of distribution. Quarterly J. of Math. (Oxford) 19 (1968) 181-191. Zbl0155.37703MR228449
  9. [9] W.M. Schmidt: Irregularities of distribution VI. Compositio Math.2 (1972) 63-74. Zbl0226.10034MR311590
  10. [10] J.G. Van Der Corput: Verteilungsfunktionen I-VIII. Proc. Akad. Amsterdam38, 813-821, 1058-1066 (1935); 39, 10-19, 19-26, 149-153, 339-344, 489-494, 579-590 (1936). Zbl0014.20803JFM62.0207.03
  11. [11] J. Von Neumann: Uniformly dense sequences of numbers (Hungarian). Mat. Fiz. Lapok32 (1925) 32-40. 

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