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
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2022年 / 509卷 / 01期
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.
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收藏
页数：17
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