Affiliation:
1. Institute of Mathematics University of Gdańsk , ul. Wita Stwosza 57 80-952 , Gdańsk . Poland
Abstract
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.
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