5 papers
The Beurling-Malliavin density, the Polya density and their connection
Rita Giuliano, Georges Grekos, Ladislav Misik
In this paper we present a new formulation of the Beurling-Malliavin density (Proposition 1). Then we consider the upper Polya density and show how its existence is connected with…
On the connection between the Beurling-Malliavin density and the asymptotic density
Rita Giuliano, Georges Grekos
We study the notion of Beurling-Malliavin density from the point of view of Number Theory. We prove a general relation between the Beurling-Malliavin density and the upper asymptot…
Strong laws of large numbers for lightly trimmed sums of generalized Oppenheim expansions
Milto Hadjikyriakou, Rita Giuliano
In the framework of generalized Oppenheim expansions we prove strong law of large numbers for lightly trimmed sums. In the first part of this work we identify a particular class of…
Intermediately Trimmed Sums of Oppenheim Expansions: a Strong Law
Rita Giuliano, Milto Hadjikyriakou
The work of this paper is devoted to obtaining strong laws for intermediately trimmed sums of random variables with infinite means. Particularly, we provide conditions under which…
New asymptotic results for generalized Oppenheim expansions
Rita Giuliano, Milto Hadjikyriakou
In this work, we study convergence in probability and almost sure convergence for weighted partial sums of random variables that are related to the class of generalized Oppenheim e…