19 citations · 45 across the 4 of their papers we have counts for
8 papers
Extreme points of the set of density measures
Peter Letavaj, Ladislav Mišík, Martin Sleziak
We study finitely additive measures on the set which extend the asymptotic density (density measures). We show that there is a one-to-one correspondence between density…
-Cauchy functions
Pratulananda Das, Martin Sleziak, Vladimír Toma
In this paper we introduce the notion of -Cauchy function, where and are ideals on the same set. The -Ca…
Range of density measures
Martin Sleziak, Miloš Ziman
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 me…
Lévy group and density measures
Martin Sleziak, Miloš Ziman
We will deal with finitely additive measures on integers extending the asymptotic density. We will study their relation to the Lévy group of permutations of $\mathbb…
Gaps and the exponent of convergence of an integer sequence
Georges Grekos, Jana Tomanová, Martin Sleziak
Professor Tibor Šalát, at one of his seminars at Comenius University, Bratislava, asked to study the influence of gaps of an integer sequence A={a_1<a_2<...<a_n<...} on its exponen…
I^K-convergence
Martin Mačaj, Martin Sleziak
In this paper we introduce I^K-convergence which is a common generalization of the I^K-convergence of sequences, double sequences and nets. We show that many results that were show…