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 2023Show all

5 papers · 1 filter

math.CA2023

Quasi-arithmetic means ad libitum

Paolo Leonetti

Let $α_{1}, \dots, α_{m}$ be two or more positive reals with sum $1$ , let $C \subseteq R^{k}$ be an open convex set, and $f : C \to R^{k}$ be a continuous injection with co…

math.FA2023

Capacities and Choquet Averages of Ultrafilters

Simone Cerreia-Vioglio, Paolo Leonetti, Fabio Maccheroni +1

We show that a normalized capacity $ν : P (N) \to R$ is invariant with respect to an ideal $I$ on $N$ if and only if it can be represent…

math.GN2023

Rough families, cluster points, and cores

Paolo Leonetti

We define the notion of ideal convergence for sequences $(x_{n})$ with values in topological spaces $X$ with respect to a family ${F_{η} : η \in X}$ of subsets of $X$ with $η \in F_{η}$ .…

math.FA2023

Subcommutativity of integrals and quasi-arithmetic means

Dorota Glazowska, Paolo Leonetti, Janusz Matkowski +1

Let $(X, L, λ)$ and $(Y, M, μ)$ be finite measure spaces for which there exist $A \in L$ and $B \in M$ with either $0 < λ (A) < 1 < λ (X)$ and…

math.NT2023

On the iterates of shifted Euler's function

Paolo Leonetti, Florian Luca

Let $φ$ be the Euler's function and fix an integer $k \geq 0$ . We show that, for every initial value $x_{1} \geq 1$ , the sequence of positive integers $(x_{n})_{n \geq 1}$ defined by $x_{n+1…