Weighted uniform density ideals

Jacek Tryba


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.
Author Jacek Tryba IM
Jacek Tryba ,,
- Institute of Mathematics
Journal seriesMathematica Slovaca, ISSN 0139-9918
Issue year2018
Publication size in sheets0.5
Keywords in Englishuniform density, Banach density, weighted uniform density, Darboux property, ideal, filter, P-ideal, ideal convergence, 𝓘-convergent series
Languageen angielski
Score (nominal)20
ScoreMinisterial score = 15.0, 17-08-2018, ArticleFromJournal
Ministerial score (2013-2016) = 20.0, 17-08-2018, ArticleFromJournal
Publication indicators WoS Impact Factor: 2016 = 0.346 (2) - 2016=0.412 (5)
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* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.