Statistical Convergence and Ideal Convergence of Sequences of Functions in 2-Normed Spaces

We present various kinds of statistical convergence and ℐ-convergence for sequences of functions with values in 2-normed spaces and obtain a criterion for ℐ-convergence of sequences of functions in 2-normed spaces. We also define the notion of ℐ-equistatistically convergence and study ℐ-equi-statist...

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Main Authors: Saeed Sarabadan, Sorayya Talebi
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2011/517841
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author Saeed Sarabadan
Sorayya Talebi
author_facet Saeed Sarabadan
Sorayya Talebi
author_sort Saeed Sarabadan
collection DOAJ
description We present various kinds of statistical convergence and ℐ-convergence for sequences of functions with values in 2-normed spaces and obtain a criterion for ℐ-convergence of sequences of functions in 2-normed spaces. We also define the notion of ℐ-equistatistically convergence and study ℐ-equi-statistically convergence of sequences of functions.
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institution Kabale University
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publishDate 2011-01-01
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-313d2fa6275d4d2caf7e19574201bcc52025-02-03T01:10:30ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252011-01-01201110.1155/2011/517841517841Statistical Convergence and Ideal Convergence of Sequences of Functions in 2-Normed SpacesSaeed Sarabadan0Sorayya Talebi1Department of Mathematics, Payame Noor University, P.O. Box 19395-4697, Tehran 19569, IranDepartment of Mathematics, Payame Noor University, P.O. Box 19395-4697, Tehran 19569, IranWe present various kinds of statistical convergence and ℐ-convergence for sequences of functions with values in 2-normed spaces and obtain a criterion for ℐ-convergence of sequences of functions in 2-normed spaces. We also define the notion of ℐ-equistatistically convergence and study ℐ-equi-statistically convergence of sequences of functions.http://dx.doi.org/10.1155/2011/517841
spellingShingle Saeed Sarabadan
Sorayya Talebi
Statistical Convergence and Ideal Convergence of Sequences of Functions in 2-Normed Spaces
International Journal of Mathematics and Mathematical Sciences
title Statistical Convergence and Ideal Convergence of Sequences of Functions in 2-Normed Spaces
title_full Statistical Convergence and Ideal Convergence of Sequences of Functions in 2-Normed Spaces
title_fullStr Statistical Convergence and Ideal Convergence of Sequences of Functions in 2-Normed Spaces
title_full_unstemmed Statistical Convergence and Ideal Convergence of Sequences of Functions in 2-Normed Spaces
title_short Statistical Convergence and Ideal Convergence of Sequences of Functions in 2-Normed Spaces
title_sort statistical convergence and ideal convergence of sequences of functions in 2 normed spaces
url http://dx.doi.org/10.1155/2011/517841
work_keys_str_mv AT saeedsarabadan statisticalconvergenceandidealconvergenceofsequencesoffunctionsin2normedspaces
AT sorayyatalebi statisticalconvergenceandidealconvergenceofsequencesoffunctionsin2normedspaces