Statistical convergence of complex uncertain sequences defined by Orlicz function

Abstract Complex uncertain variables are measurable functions from an uncertainty space to the set of complex numbers and are used to model complex uncertain quantities. This paper introduces the statistical convergence concepts of complex uncertain sequences: statistical convergence almost surely(a...

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Autores principales: Nath,Pankaj Kumar, Tripathy,Binod Chandra
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2020
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000200301
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spelling oai:scielo:S0716-091720200002003012020-05-06Statistical convergence of complex uncertain sequences defined by Orlicz functionNath,Pankaj KumarTripathy,Binod Chandra Uncertainty theory Complex uncertain variable Statistical convergence Abstract Complex uncertain variables are measurable functions from an uncertainty space to the set of complex numbers and are used to model complex uncertain quantities. This paper introduces the statistical convergence concepts of complex uncertain sequences: statistical convergence almost surely(a.s.), statistical convergence in measure, statistical convergence in mean, statistical convergence in distribution and statistical convergence uniformly almost surely sequences of complex uncertain sequences defined by Orlicz function. In addition, Decomposition Theorems and relationships among them are discussed.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.39 n.2 20202020-04-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000200301en10.22199/issn.0717-6279-2020-02-0019
institution Scielo Chile
collection Scielo Chile
language English
topic Uncertainty theory
Complex uncertain variable
Statistical convergence
spellingShingle Uncertainty theory
Complex uncertain variable
Statistical convergence
Nath,Pankaj Kumar
Tripathy,Binod Chandra
Statistical convergence of complex uncertain sequences defined by Orlicz function
description Abstract Complex uncertain variables are measurable functions from an uncertainty space to the set of complex numbers and are used to model complex uncertain quantities. This paper introduces the statistical convergence concepts of complex uncertain sequences: statistical convergence almost surely(a.s.), statistical convergence in measure, statistical convergence in mean, statistical convergence in distribution and statistical convergence uniformly almost surely sequences of complex uncertain sequences defined by Orlicz function. In addition, Decomposition Theorems and relationships among them are discussed.
author Nath,Pankaj Kumar
Tripathy,Binod Chandra
author_facet Nath,Pankaj Kumar
Tripathy,Binod Chandra
author_sort Nath,Pankaj Kumar
title Statistical convergence of complex uncertain sequences defined by Orlicz function
title_short Statistical convergence of complex uncertain sequences defined by Orlicz function
title_full Statistical convergence of complex uncertain sequences defined by Orlicz function
title_fullStr Statistical convergence of complex uncertain sequences defined by Orlicz function
title_full_unstemmed Statistical convergence of complex uncertain sequences defined by Orlicz function
title_sort statistical convergence of complex uncertain sequences defined by orlicz function
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2020
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000200301
work_keys_str_mv AT nathpankajkumar statisticalconvergenceofcomplexuncertainsequencesdefinedbyorliczfunction
AT tripathybinodchandra statisticalconvergenceofcomplexuncertainsequencesdefinedbyorliczfunction
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