Article ID Journal Published Year Pages File Type
10224238 Indagationes Mathematicae 2018 14 Pages PDF
Abstract
In this paper we extend the idea of weighted density of Balcerzak et al. (2015) by using a modulus function and introduce the idea f-density of weight g of subsets of ω≔{0,1,…} (at the same time extending the notion of f-density (Aizpuru et al., 2014)), which we name dgf where g:ω→[0,∞) satisfies g(n)→∞ and n∕g(n)↛0 and f is a modulus function. The aim of this paper is to show that we can get new ideals Zg(f) consisting of sets A⊂ω for which dgf(A)=0 different from all the previously constructed ideals Zg of Balcerzak et al. (2015) and moreover they retain all the nice properties of the ideals Zg.
Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)
Authors
, , ,