Czech Digital Mathematics Library (Institute of Mathematics CAS) · 2002 · 17 citations · 0 references
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Natural SciencesMathematicsProbability TheorySet TheoryStochastic ProcessesCombinatorial Number TheoryDensity DependenceDensity EstimationDensity Functional TheoryProbability DistributionsProbability InequalitiesDensity Of StatesProbability Density Functions
Two generalizations of a theorem in [STRAUCH, O.-TOTH, J. T.: Asymptotic density o/AcN and density of the ratio set R(A), Acta Arith.87 (1998), 67-78] are presented in the paper.A set with prescribed lower and upper asymptotic and logarithmic densities is constructed for every possible values.Also a set with prescribed lower and upper densities with respect to a general function under some conditions is constructed.