Conglomerated filters and statistical measures

被引:1
|
作者
Kadets, Vladimir [1 ]
Seliutin, Dmytro [1 ]
Tryba, Jacek [2 ]
机构
[1] Kharkov Natl Univ, Sch Math & Informat, UA-61022 Kharkiv, Ukraine
[2] Univ Gdansk, Fac Math Phys & Informat, Inst Math, Ul Wita Stwosza 57, PL-80308 Gdansk, Poland
基金
新加坡国家研究基金会;
关键词
Filter convergence; Statistical convergence; Statistical measure; Ideal of sets; Ultrafilter;
D O I
10.1016/j.jmaa.2021.125955
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We introduce and study new concepts of conglomerated filter and poor filter, related to filters generated by a single statistical measure and to filters representable as intersections of countable families of ultrafilters. The paper is based on a significantly rebuilt preprint arXive:2012.02866 and answers several questions from that preprint.(c) 2021 Elsevier Inc. All rights reserved.
引用
收藏
页数:17
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