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# Mathematica Slovaca

Editor-in-Chief: Pulmannová, Sylvia

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Volume 68, Issue 4

# Weighted uniform density ideals

Jacek Tryba
Published Online: 2018-08-06 | DOI: https://doi.org/10.1515/ms-2017-0139

## Abstract

Weighted uniform densities are a generalization of the uniform density, which is also known as the Banach density. In this paper, we introduce the concept of weighted uniform density ideals and consider the topological complexity of these ideals as well as when they have certain analytical properties related to the ideal convergence of sequences and series. Furthermore, we prove some inequalities between different upper and lower weighted uniform densities and give the answer to the problem concerning the Darboux property of these densities.

MSC 2010: Primary 11B05; Secondary 40A35; 40A05

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Tryba, J.: Subseries of 𝓘-convergent series, Lith. Math. J. 58 (2018), 104–112.

Accepted: 2017-06-06

Published Online: 2018-08-06

Published in Print: 2018-08-28

Communicated by Ján Borsík

Citation Information: Mathematica Slovaca, Volume 68, Issue 4, Pages 717–726, ISSN (Online) 1337-2211, ISSN (Print) 0139-9918,

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