Displaying similar documents to “Partial densities on the group of integers”

Range of density measures

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 A ( n ) n 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.,...

On density theorems for outer measures

E. J. Mickle, T. Rado

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CONTENTSINTRODUCTION................................................................................... 3SECTION 1. Covering theorems........................................................... 5SECTION 2. Absolutely measurable sets.............................................. 8SECTION 3. Generalized spherical Hausdorff measures.................... 14SECTION 4. Density theorems for subadditive set functions............... 20SECTION 5. A density theorem for outer measures...............................