Some properties of Buck's measure density

Milan Paštéka

Mathematica Slovaca (1992)

  • Volume: 42, Issue: 1, page 15-32
  • ISSN: 0139-9918

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Paštéka, Milan. "Some properties of Buck's measure density." Mathematica Slovaca 42.1 (1992): 15-32. <http://eudml.org/doc/31566>.

@article{Paštéka1992,
author = {Paštéka, Milan},
journal = {Mathematica Slovaca},
keywords = {sets of integers; Buck measure density; pseudorational sets; - measurable sets; rational sets; asymptotic density; outer measure},
language = {eng},
number = {1},
pages = {15-32},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Some properties of Buck's measure density},
url = {http://eudml.org/doc/31566},
volume = {42},
year = {1992},
}

TY - JOUR
AU - Paštéka, Milan
TI - Some properties of Buck's measure density
JO - Mathematica Slovaca
PY - 1992
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 42
IS - 1
SP - 15
EP - 32
LA - eng
KW - sets of integers; Buck measure density; pseudorational sets; - measurable sets; rational sets; asymptotic density; outer measure
UR - http://eudml.org/doc/31566
ER -

References

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  1. BUCK R. C., The measure theoretic approach to the density, Amer. J. Math. LXVIII (1946), 560-580. (1946) MR0018196
  2. DIJKSMA A., MEIJER H. G., Note on uniformly distributed sequences, Nieuw Arch. Wisk. (4) XVII (1969), 210-213. (1969) Zbl0186.08701MR0257021
  3. HLAWKA E., Theorie der Gleichverteilung, Bibliographishes Institut, Manheim, Wien, Ztrich, 1979. (1979) Zbl0406.10001MR0542905
  4. KUIPERS Z., NIEDERREITER H., Uniform distribution of sequences, John Wiley et Sons, New York-London Sydney Toronto, 1974. (1974) Zbl0281.10001MR0419394
  5. OXTOBY J. C., Measure and Category, (Russian translation Moskva, Mir 1971), Springer, Berlin, 1971. (1971) Zbl0217.09201MR0584443
  6. ŠALÁT T., Cantorsche Entwicklungen der reallen Zahlen und das Hausdorffsche Mass, Publ. of the Math. Inst, of the Hung. Acad, of Sci VI (1961), 15-41. (1961) MR0147465
  7. PAŠTÉKA M., ŠALÁT T., Buck's measure density and sets of positive integers containing arithmetic progressions, Math. Slovaca 41 (1991), 283-293. (1991) MR1126665

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