A comparison Theorem for matrix limitation methods is proved and the following applications are given: - new results concerning the comparison between weighted densities generated by different weights; - new results concerning the comparison between weighted densities of a set $E \subseteq N^*$ and those of its transformed set $\pi(E)$, where $\pi$ is a given injective function $N^*\to^* ! N¤$. In particular, a new class of permutations preserving the asymptotic density is identified.

### A comparison Theorem for matrix limitation methods with applications

#### Abstract

A comparison Theorem for matrix limitation methods is proved and the following applications are given: - new results concerning the comparison between weighted densities generated by different weights; - new results concerning the comparison between weighted densities of a set $E \subseteq N^*$ and those of its transformed set $\pi(E)$, where $\pi$ is a given injective function $N^*\to^* ! N¤$. In particular, a new class of permutations preserving the asymptotic density is identified.
##### Scheda breve Scheda completa Scheda completa (DC)
Giuliano, Rita; Pasteka, M.
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/101589
##### Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

• ND
• ND
• ND