On some new paranormed sequence spaces of fuzzy numbers defined by Orlicz functions and statistical convergence

On some new paranormed sequence spaces of fuzzy numbers defined by Orlicz functions and statistical convergence

In this paper we introduce the concept of strongly λ(p) convergence of fuzzy numbers with respect to an Orlicz function and examine some properties of the resulting sequence spaces and λ(p) – statistical convergence. It is also shown that if a sequence of fuzzy numbers is strong λ(p) convergent wit...

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Bibliographic Details
Main Author: A. Esi
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2006-12-01
Series:Mathematical Modelling and Analysis
Subjects:
Orlicz function
paranorm
de la Vallee‐Poussin means
fuzzy numbers
Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/9647
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spelling doaj-4c53bfb6242d4067aca23333870ef0d72021-07-02T11:45:52ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102006-12-0111410.3846/13926292.2006.9637325On some new paranormed sequence spaces of fuzzy numbers defined by Orlicz functions and statistical convergenceA. Esi0Science and Art Faculty, Department of Mathematics , Adiyaman University , Adiyaman, 02040, Turkey In this paper we introduce the concept of strongly λ(p) convergence of fuzzy numbers with respect to an Orlicz function and examine some properties of the resulting sequence spaces and λ(p) – statistical convergence. It is also shown that if a sequence of fuzzy numbers is strong λ(p) convergent with respect to an Orlicz function then it is λ(p) – statistically convergent. First Published Online: 14 Oct 2010 https://journals.vgtu.lt/index.php/MMA/article/view/9647Orlicz functionparanormde la Vallee‐Poussin meansfuzzy numbers
collection DOAJ
language English
format Article
sources DOAJ
author A. Esi
spellingShingle A. Esi
On some new paranormed sequence spaces of fuzzy numbers defined by Orlicz functions and statistical convergence
Mathematical Modelling and Analysis
Orlicz function
paranorm
de la Vallee‐Poussin means
fuzzy numbers
author_facet A. Esi
author_sort A. Esi
title On some new paranormed sequence spaces of fuzzy numbers defined by Orlicz functions and statistical convergence
title_short On some new paranormed sequence spaces of fuzzy numbers defined by Orlicz functions and statistical convergence
title_full On some new paranormed sequence spaces of fuzzy numbers defined by Orlicz functions and statistical convergence
title_fullStr On some new paranormed sequence spaces of fuzzy numbers defined by Orlicz functions and statistical convergence
title_full_unstemmed On some new paranormed sequence spaces of fuzzy numbers defined by Orlicz functions and statistical convergence
title_sort on some new paranormed sequence spaces of fuzzy numbers defined by orlicz functions and statistical convergence
publisher Vilnius Gediminas Technical University
series Mathematical Modelling and Analysis
issn 1392-6292
1648-3510
publishDate 2006-12-01
description In this paper we introduce the concept of strongly λ(p) convergence of fuzzy numbers with respect to an Orlicz function and examine some properties of the resulting sequence spaces and λ(p) – statistical convergence. It is also shown that if a sequence of fuzzy numbers is strong λ(p) convergent with respect to an Orlicz function then it is λ(p) – statistically convergent. First Published Online: 14 Oct 2010
topic Orlicz function
paranorm
de la Vallee‐Poussin means
fuzzy numbers
url https://journals.vgtu.lt/index.php/MMA/article/view/9647
work_keys_str_mv AT aesi onsomenewparanormedsequencespacesoffuzzynumbersdefinedbyorliczfunctionsandstatisticalconvergence
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