On relations between -density and -density
Acta Mathematica Universitatis Ostraviensis (2007)
- Volume: 15, Issue: 1, page 15-20
- ISSN: 1804-1388
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topKijonka, Václav. "On relations between $f$-density and $(R)$-density." Acta Mathematica Universitatis Ostraviensis 15.1 (2007): 15-20. <http://eudml.org/doc/35168>.
@article{Kijonka2007,
abstract = {In this paper it is discus a relation between $f$-density and $(R)$-density. A generalization of Šalát’s result concerning this relation in the case of asymptotic density is proved.},
author = {Kijonka, Václav},
journal = {Acta Mathematica Universitatis Ostraviensis},
keywords = {$f$-density; asymptotic density; weighted density; strong quotient base; $(R)$-density; asymptotic density; weighted density; strong quotient base},
language = {eng},
number = {1},
pages = {15-20},
publisher = {University of Ostrava},
title = {On relations between $f$-density and $(R)$-density},
url = {http://eudml.org/doc/35168},
volume = {15},
year = {2007},
}
TY - JOUR
AU - Kijonka, Václav
TI - On relations between $f$-density and $(R)$-density
JO - Acta Mathematica Universitatis Ostraviensis
PY - 2007
PB - University of Ostrava
VL - 15
IS - 1
SP - 15
EP - 20
AB - In this paper it is discus a relation between $f$-density and $(R)$-density. A generalization of Šalát’s result concerning this relation in the case of asymptotic density is proved.
LA - eng
KW - $f$-density; asymptotic density; weighted density; strong quotient base; $(R)$-density; asymptotic density; weighted density; strong quotient base
UR - http://eudml.org/doc/35168
ER -
References
top- Mišík L., Sets of positive integers with prescribed values of densities, Math. Slovaca 52 (2002), 289-296 MR1936334
- Mišík L., Tóth J. T., Logarithmic density of sequence of integers and density of its ratio set, Journal de Theorie des Nombers de Bordeaux 15 (2003), 309-318. MR2019018
- Strauch O., Tóth J. T., Asymptotic density of A c N and density of the ratio set R(A), Acta Arith. 87 (1998), 67-78. (1998) MR1659159
- Strauch O., Tóth J. T., Corrigendum to Theorem 5 of the paper "Asymptotic density of ACN and density of the ratio set R(A)", Acta Arith. 87 (1998), 67-78, Acta Arith. 103.2 (2002), 191-200. (1998) MR1904872
- Šalát T., On ratio sets of sets of natural numbers, Acta Arith. 15 (1969), 273-278. (1969) MR0242756
- Šalát T., Quotientbasen und (R)-dichte Mengen, Acta Arith. 19 (1971), 63-78. (1971) Zbl0218.10071MR0292788
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