Weighted uniform density ideals
AbstractWeighted 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.
|Journal series||Mathematica Slovaca, ISSN 0139-9918|
|Publication size in sheets||0.5|
|Keywords in English||uniform density, Banach density, weighted uniform density, Darboux property, ideal, filter, P-ideal, ideal convergence, 𝓘-convergent series|
|Score|| = 15.0, 17-08-2018, ArticleFromJournal|
= 20.0, 17-08-2018, ArticleFromJournal
|Publication indicators||: 2016 = 0.346 (2) - 2016=0.412 (5)|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.