$ f $-Statistical convergence on topological modules | Zendy

Francisco Javier GarcíaPacheco | Zendy; Ramazan Kama | Zendy

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$ 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) , topological space , function (biology) , statistical analysis , compact convergence , topology (electrical circuits) , normal convergence , discrete mathematics , 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.

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