<abstract xmlns="http://www.w3.org/1999/xhtml"><p> In this paper we study the conditions (1), (2) and (3) for the permutations which preserve the weighted density. These conditions are motivated by the conditions of Lévy group, originated in [Levy, P.: Problèmes concrets d’Analyse Fonctionelle. Gauthier Villars, Paris, 1951], and studied in [Obata, N.: Density of natural numbers and Lévy group, J. Number Theory <bold>30 </bold>(1988), 288-297]. In the second part we prove that under some conditions for the sequence of weights, for instance for the logarithmic density, the first two conditions can be launched</p></abstract>

In this paper we study the conditions (1), (2) and (3) for the permutations which preserve the weighted density. These conditions are motivated by the conditions of Lévy group, originated in [Levy, P.: Problèmes concrets d’Analyse Fonctionelle. Gauthier Villars, Paris, 1951], and studied in [Obata, N.: Density of natural numbers and Lévy group, J. Number Theory 30 (1988), 288-297]. In the second part we prove that under some conditions for the sequence of weights, for instance for the logarithmic density, the first two conditions can be launched

SOME REMARKS ON PERMUTATIONS WHICH PRESERVE THE WEIGHTED DENSITY

Tatra Mountains Mathematical Publications

{"article-title":"SOME REMARKS ON PERMUTATIONS WHICH PRESERVE THE WEIGHTED DENSITY"}

In this paper we study the conditions (1), (2) and (3) for the permutations which preserve the weighted density. These conditions are motivated by the...

SOME REMARKS ON PERMUTATIONS WHICH PRESERVE THE WEIGHTED DENSITY

Data publikacji: 18 lut 2014

Zakres stron: 35 - 45

DOI: https://doi.org/10.2478/tmmp-2013-0024

Słowa kluczowe
weighted density, permutation, Levy group

This content is open access.

SOME REMARKS ON PERMUTATIONS WHICH PRESERVE THE WEIGHTED DENSITY

Data publikacji: 18 lut 2014

Zakres stron: 35 - 45

DOI: https://doi.org/10.2478/tmmp-2013-0024

Słowa kluczoweweighted density, permutation, Levy group

This content is open access.

Słowa kluczowe
weighted density, permutation, Levy group