λ-statistical convergence in n-normed spaces

In this paper, we introduce the concept of λ-statistical convergence in n-normed spaces. Some inclusion relations between the sets of statistically convergent and λ-statistically convergent sequences are established. We find its relations to statistical convergence, (C,1)-summability and strong (V,...

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Main Authors: Hazarika Bipan, Savaş Ekrem
Format: Article
Language:English
Published: Sciendo 2013-06-01
Series:Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Subjects:
Online Access:https://doi.org/10.2478/auom-2013-0028
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author Hazarika Bipan
Savaş Ekrem
author_facet Hazarika Bipan
Savaş Ekrem
author_sort Hazarika Bipan
collection DOAJ
description In this paper, we introduce the concept of λ-statistical convergence in n-normed spaces. Some inclusion relations between the sets of statistically convergent and λ-statistically convergent sequences are established. We find its relations to statistical convergence, (C,1)-summability and strong (V, λ)-summability in n-normed spaces
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spelling doaj.art-3eb5566a4f5646ec97e09d21961a039a2022-12-21T21:23:21ZengSciendoAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica1844-08352013-06-0121214115310.2478/auom-2013-0028λ-statistical convergence in n-normed spacesHazarika Bipan0Savaş Ekrem1Rajiv Gandhi University, Rono Hills, Doimukh-791112, Arunachal Pradesh, IndiaIstanbul Ticaret University, Uskudar-Istanbul, TurkeyIn this paper, we introduce the concept of λ-statistical convergence in n-normed spaces. Some inclusion relations between the sets of statistically convergent and λ-statistically convergent sequences are established. We find its relations to statistical convergence, (C,1)-summability and strong (V, λ)-summability in n-normed spaceshttps://doi.org/10.2478/auom-2013-0028statistical convergenceλ -statistical convergencen-norm
spellingShingle Hazarika Bipan
Savaş Ekrem
λ-statistical convergence in n-normed spaces
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
statistical convergence
λ -statistical convergence
n-norm
title λ-statistical convergence in n-normed spaces
title_full λ-statistical convergence in n-normed spaces
title_fullStr λ-statistical convergence in n-normed spaces
title_full_unstemmed λ-statistical convergence in n-normed spaces
title_short λ-statistical convergence in n-normed spaces
title_sort λ statistical convergence in n normed spaces
topic statistical convergence
λ -statistical convergence
n-norm
url https://doi.org/10.2478/auom-2013-0028
work_keys_str_mv AT hazarikabipan lstatisticalconvergenceinnnormedspaces
AT savasekrem lstatisticalconvergenceinnnormedspaces