Weighted uniform density ideals

In: Mathematica Slovaca, vol. 68, no. 4

Jacek Tryba

Detaily:

Rok, strany: 2018, 717 - 726

Kľúčové slová:

uniform density, Banach density, weighted uniform density, Darboux property, ideal, filter, P-ideal, ideal convergence, $\mathcal{I}$-convergent series

DOI: https://doi.org/10.1515/ms-2017-0139

O článku:

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.

Ako citovať:

ISO 690:

Tryba, J. 2018. Weighted uniform density ideals. In Mathematica Slovaca, vol. 68, no.4, pp. 717-726. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0139

APA:

Tryba, J. (2018). Weighted uniform density ideals. Mathematica Slovaca, 68(4), 717-726. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0139

O vydaní:

Publikované: 6. 8. 2018