P. Leonetti

activity

20122026

most citedOn the notions of upper and lower density

20 citations · 109 across the 55 of their papers we have counts for

collaborators

Showing 2015Show all

4 papers · 1 filter

math.NT2015

On the number of distinct prime factors of a sum of super-powers

Paolo Leonetti, Salvatore Tringali

Given $k, ℓ \in N^{+}$ , let $x_{i, j}$ be, for $1 \leq i \leq k$ and $0 \leq j \leq ℓ$ , some fixed integers, and define, for every $n \in N^{+}$ , $s_n := \sum_{i=1}^k \pro…

math.CA2015★ 9 cited

Upper and lower densities have the strong Darboux property

Paolo Leonetti, Salvatore Tringali

Let $P (N)$ be the power set of $N$ . An upper density (on $N$ ) is a non\-decreasing and subadditive function $μ^{*} : P (N) \to R$ such that…

math.NT2015★ 20 cited

On the notions of upper and lower density

Paolo Leonetti, Salvatore Tringali

Let $P (N)$ be the power set of $N$ . We say that a function $μ^{*} : P (N) \to R$ is an upper density if, for all $X, Y \subseteq N$ and…

math.CA2015★ 8 cited

On the commutation of generalized means on probability spaces

Paolo Leonetti, Janusz Matkowski, Salvatore Tringali

Let $f$ and $g$ be real-valued continuous injections defined on a non-empty real interval $I$ , and let $(X, L, λ)$ and $(Y, M, μ)$ be probability spaces in each…