Asymptotic densities of sets of positive integers
Tibor Šalát, Robert Tijdeman (1983)
Mathematica Slovaca
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Tibor Šalát, Robert Tijdeman (1983)
Mathematica Slovaca
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A. B. Kharazishvili (1994)
Acta Universitatis Carolinae. Mathematica et Physica
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Ricardo Faro Rivas, Juan A. Navarro, Juan Sancho (1994)
Extracta Mathematicae
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Martin Sleziak, Miloš Ziman (2009)
Acta Mathematica Universitatis Ostraviensis
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We investigate some properties of density measures – finitely additive measures on the set of natural numbers extending asymptotic density. We introduce a class of density measures, which is defined using cluster points of the sequence as well as cluster points of some other similar sequences. We obtain range of possible values of density measures for any subset of . Our description of this range simplifies the description of Bhashkara Rao and Bhashkara Rao [Bhaskara Rao, K. P. S.,...