dc.creator | Sen, Mausumi | |
dc.creator | Haloi, Rupam | |
dc.creator | Tripathy, Binod Chandra | |
dc.date | 2019-12-17 | |
dc.date.accessioned | 2020-01-06T17:47:53Z | |
dc.date.available | 2020-01-06T17:47:53Z | |
dc.identifier | https://www.revistaproyecciones.cl/article/view/3908 | |
dc.identifier | 10.22199/issn.0717-6279-2019-05-0067 | |
dc.identifier.uri | https://revistaschilenas.uchile.cl/handle/2250/122180 | |
dc.description | In this article, we introduce the concept of µ-statistical convergence and µ-density convergence of sequences of functions defined on a compact subset D of the probabilistic normed space (X, N, ∗), where µ is a finitely additive two valued measure. In particular, we introduce the notions of µ-statistical uniform convergence as well as µ-statistical point-wise convergence of sequences of functions in probabilistic normed space (in short PN-space) and we give some characterization results on these two convergences of sequences of functions in PN-space. We have also observed that µ-statistical uniform convergence of sequences of functions in PN-spaces inherits the basic properties of uniform convergence. | en-US |
dc.format | application/pdf | |
dc.language | eng | |
dc.publisher | Universidad Católica del Norte. | es-ES |
dc.relation | https://www.revistaproyecciones.cl/article/view/3908/3311 | |
dc.rights | Derechos de autor 2019 Mausumi Sen, Rupan Haloi, Binod Chandra Tripathy | es-ES |
dc.rights | http://creativecommons.org/licenses/by/4.0 | es-ES |
dc.source | Proyecciones. Journal of Mathematics; Vol 38 No 5 (2019); 1039-1056 | en-US |
dc.source | Proyecciones. Revista de Matemática; Vol. 38 Núm. 5 (2019); 1039-1056 | es-ES |
dc.source | 0717-6279 | |
dc.source | 0716-0917 | |
dc.subject | Probabilistic normed space | en-US |
dc.subject | µ-statistical convergence | en-US |
dc.subject | µ-density convergence | en-US |
dc.subject | Point−wise and uniform convergence AP 0 condition | en-US |
dc.subject | 40A30 | en-US |
dc.subject | Convergence and divergence of series and sequences of functions | en-US |
dc.subject | 40G15 | en-US |
dc.subject | Summability methods using statistical convergence | en-US |
dc.subject | 54E70 | en-US |
dc.subject | Probabilistic metric spaces | en-US |
dc.title | µ-Statistically convergent function sequences in probabilistic normed linear spaces | en-US |
dc.type | info:eu-repo/semantics/article | |
dc.type | info:eu-repo/semantics/publishedVersion | |
dc.type | Artículo revisado por pares | es-ES |
dc.type | text | en-US |