On weighted densities
Rita Giuliano-Antonini; Georges Grekos; Ladislav Mišík
Czechoslovak Mathematical Journal (2007)
- Volume: 57, Issue: 3, page 947-962
- ISSN: 0011-4642
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topGiuliano-Antonini, Rita, Grekos, Georges, and Mišík, Ladislav. "On weighted densities." Czechoslovak Mathematical Journal 57.3 (2007): 947-962. <http://eudml.org/doc/31174>.
@article{Giuliano2007,
abstract = {The continuity of densities given by the weight functions $n^\{\alpha \}$, $\alpha \in [-1,\infty [$, with respect to the parameter $\alpha $ is investigated.},
author = {Giuliano-Antonini, Rita, Grekos, Georges, Mišík, Ladislav},
journal = {Czechoslovak Mathematical Journal},
keywords = {asymptotic density; logarithmic density; $f$-density; continuity; Positive integers; asymptotic denity; logarithmic density; weighted density},
language = {eng},
number = {3},
pages = {947-962},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On weighted densities},
url = {http://eudml.org/doc/31174},
volume = {57},
year = {2007},
}
TY - JOUR
AU - Giuliano-Antonini, Rita
AU - Grekos, Georges
AU - Mišík, Ladislav
TI - On weighted densities
JO - Czechoslovak Mathematical Journal
PY - 2007
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 57
IS - 3
SP - 947
EP - 962
AB - The continuity of densities given by the weight functions $n^{\alpha }$, $\alpha \in [-1,\infty [$, with respect to the parameter $\alpha $ is investigated.
LA - eng
KW - asymptotic density; logarithmic density; $f$-density; continuity; Positive integers; asymptotic denity; logarithmic density; weighted density
UR - http://eudml.org/doc/31174
ER -
References
top- Théorie générale des densités, Rend. Acc. Naz. delle Scienze detta dei XL, Mem. di Matematica, 108 (XIV, 14) (1990), 253–294. (1990) MR1106580
- Sequences, Oxford Univ. Press, 1966. (1966) MR0210679
- The General Theory of Dirichlet Series, Cambridge Univ. Press, 1952. (1952)
- Sets of positive integers with prescribed values of densities, Mathematica Slovaca 52 (2002), 289–296. (2002) MR1936334
- 10.5802/jtnb.404, Journal de Théorie des Nombres de Bordeaux 15 (2003), 309–318. (2003) MR2019018DOI10.5802/jtnb.404
- 10.2307/2371942, Amer. J. Math. 70 (1948), 157–166. (1948) Zbl0041.18301MR0023930DOI10.2307/2371942
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