Open Access$ f $-Statistical convergence on topological modules
Author(s) -
Francisco Javier GarcíaPacheco,
Ramazan Kama
Publication year - 2022
Publication title -
electronic research archive
Language(s) - English
Resource type - Journals
ISSN - 2688-1594
DOI - 10.3934/era.2022110
Subject(s) - scope (computer science) , convergence (economics) , mathematics , modes of convergence (annotated index) , function (biology) , topological space , statistical analysis , compact convergence , discrete mathematics , topology (electrical circuits) , pure mathematics , rate of convergence , topological vector space , computer science , combinatorics , statistics , telecommunications , isolated point , channel (broadcasting) , evolutionary biology , economics , biology , programming language , economic growth
The classical notion of statistical convergence has recently been transported to the scope of real normed spaces by means of the $ f $-statistical convergence for $ f $ a modulus function. Here, we go several steps further and extend the $ f $-statistical convergence to the scope of uniform spaces, obtaining particular cases of $ f $-statistical convergence on pseudometric spaces and topological modules.