Services on Demand
Journal
Article
Indicators
Cited by SciELO
Access statistics
Related links
Cited by Google
Similars in SciELO
Similars in Google
Share
Revista de la Academia Colombiana de Ciencias Exactas, Físicas y Naturales
Print version ISSN 0370-3908
Abstract
GRANADOS, Carlos. Statistical convergence in measure for triple sequences of fuzzy-valued functions. Rev. acad. colomb. cienc. exact. fis. nat. [online]. 2021, vol.45, n.177, pp.1011-1021. Epub Feb 25, 2022. ISSN 0370-3908. https://doi.org/10.18257/raccefyn.1456.
In this paper, we define and extend the notions of two kinds of convergence in measure, these are inner and outer statistical convergence for triple sequences of fuzzy-valued measurable functions. Besides, we show that both kinds of convergence are equivalent in a finite measurable space. Additionally, we define and study the notion of statistical convergence in measure for triple sequences of fuzzy-valued measurable functions. In addition, we show and prove the statistical version of Egorov’s theorem for triple sequences of fuzzy-valued functions on a finite measure space.
Keywords : Triple sequence; Measure space; Egorov’s theorem; Outer and inner statistical convergence; Fuzzy-valued function.