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Logarithmic density of a sequence of integers and density of its ratio set

Ladislav Mišík; János T. Tóth — 2003

Journal de théorie des nombres de Bordeaux

In the paper sufficient conditions for the $(R)$ -density of a set of positive integers in terms of logarithmic densities are given. They differ substantially from those derived previously in terms of asymptotic densities.

Asymptotic density of A⊂ ℕ and density of the ratio set R(A)

Oto Strauch; János T. Tóth — 1998

Acta Arithmetica

Corrigendum to Theorem 5 of the paper "Asymptotic density of A ⊂ ℕ and density of the ratio set R(A) (Acta Arith. 87 (1998), 67-78)

Oto Strauch; Janos T. Toth — 2002

Acta Arithmetica

On completely dense sequences

József Bukor; János T. Tóth — 1998

Acta Mathematica et Informatica Universitatis Ostraviensis

On asymptotic behaviour of universal fuzzy measures

Ladislav Mišík; János T. Tóth — 2006

Kybernetika

The asymptotic behaviour of universal fuzzy measures is investigated in the present paper. For each universal fuzzy measure a class of fuzzy measures preserving some natural properties is defined by means of convergence with respect to ultrafilters.

On a typical property of functions

János T. Tóth; László Zsilinszky — 1995

Mathematica Slovaca

Dispersion of ratio block sequences and asymptotic density

Ferdinánd Filip; Ladislav Mišík; János T. Tóth — 2008

Acta Arithmetica

On some properties of dispersion of block sequences of positive integers

János T. Tóth; Ladislav Mišík; Ferdinand Filip — 2004

Mathematica Slovaca

Remarks on the $(R)$ -density of sets of numbers. II

József Bukor; Pál Erdös; Tibor Šalát; János T. Tóth — 1997

Mathematica Slovaca

Distribution of terms of a logarithmic sequence.

Csiba, Péter; Filip, Ferdinánd; Tóth, János T. — 2007

Annales Mathematicae et Informaticae

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