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 (FMPI / IM)
Jacek Tryba,,
- Institute of Mathematics
Journal seriesMathematica Slovaca, ISSN 0139-9918, (A 20 pkt)
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
ASJC Classification2600 General Mathematics
Languageen angielski
Score (nominal)20
Score sourcejournalList
ScoreMinisterial score = 20.0, 05-02-2020, ArticleFromJournal
Publication indicators WoS Citations = 0; Scopus SNIP (Source Normalised Impact per Paper): 2017 = 0.845; WoS Impact Factor: 2018 = 0.49 (2) - 2018=0.488 (5)
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