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dc.creatorSen, Mausumi
dc.creatorHaloi, Rupam
dc.creatorTripathy, Binod Chandra
dc.date2019-12-17
dc.date.accessioned2020-01-06T17:47:53Z
dc.date.available2020-01-06T17:47:53Z
dc.identifierhttps://www.revistaproyecciones.cl/article/view/3908
dc.identifier10.22199/issn.0717-6279-2019-05-0067
dc.identifier.urihttps://revistaschilenas.uchile.cl/handle/2250/122180
dc.descriptionIn 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.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad Católica del Norte.es-ES
dc.relationhttps://www.revistaproyecciones.cl/article/view/3908/3311
dc.rightsDerechos de autor 2019 Mausumi Sen, Rupan Haloi, Binod Chandra Tripathyes-ES
dc.rightshttp://creativecommons.org/licenses/by/4.0es-ES
dc.sourceProyecciones. Journal of Mathematics; Vol 38 No 5 (2019); 1039-1056en-US
dc.sourceProyecciones. Revista de Matemática; Vol. 38 Núm. 5 (2019); 1039-1056es-ES
dc.source0717-6279
dc.source0716-0917
dc.subjectProbabilistic normed spaceen-US
dc.subjectµ-statistical convergenceen-US
dc.subjectµ-density convergenceen-US
dc.subjectPoint−wise and uniform convergence AP 0 conditionen-US
dc.subject40A30en-US
dc.subjectConvergence and divergence of series and sequences of functionsen-US
dc.subject40G15en-US
dc.subjectSummability methods using statistical convergenceen-US
dc.subject54E70en-US
dc.subjectProbabilistic metric spacesen-US
dc.titleµ-Statistically convergent function sequences in probabilistic normed linear spacesen-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.typeArtículo revisado por pareses-ES
dc.typetexten-US


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