On generalized statistical convergence of double sequences via ideals

The concept of statistical convergence is one of the most active area of research in the field of summability. Most of the new summability methods have relation with this popular method. In this paper we generalize the notions of statistical convergence, ( λ, μ )-statistical convergence, ( V , λ, μ...

Full description

Saved in:
Bibliographic Details
Published in:Annali dell'Università di Ferrara. Sezione 7. Scienze matematiche 2012-05, Vol.58 (1), p.11-20
Main Authors: Belen, Cemal, Yildirim, Mustafa
Format: Article
Language:English
Subjects:
Algebraic Geometry
Analysis
Geometry
History of Mathematical Sciences
Mathematics
Mathematics and Statistics
Numerical Analysis
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by cdi_FETCH-LOGICAL-c2031-2f525182e8425f224424354a77c07afcc57fa6bc2aee8053efd6d428a92e00573
cites cdi_FETCH-LOGICAL-c2031-2f525182e8425f224424354a77c07afcc57fa6bc2aee8053efd6d428a92e00573
container_end_page 20
container_issue 1
container_start_page 11
container_title Annali dell'Università di Ferrara. Sezione 7. Scienze matematiche
container_volume 58
creator Belen, Cemal
Yildirim, Mustafa
description The concept of statistical convergence is one of the most active area of research in the field of summability. Most of the new summability methods have relation with this popular method. In this paper we generalize the notions of statistical convergence, ( λ, μ )-statistical convergence, ( V , λ, μ ) summability and ( C , 1, 1) summability for a double sequence x  = ( x jk ) via ideals. We also establish the relation between our new methods.
doi_str_mv 10.1007/s11565-011-0137-1
format article
fullrecord <record><control><sourceid>crossref_sprin</sourceid><recordid>TN_cdi_crossref_primary_10_1007_s11565_011_0137_1</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>10_1007_s11565_011_0137_1</sourcerecordid><originalsourceid>FETCH-LOGICAL-c2031-2f525182e8425f224424354a77c07afcc57fa6bc2aee8053efd6d428a92e00573</originalsourceid><addsrcrecordid>eNp9kM9KAzEQxoMoWKsP4C0vsDozSZrtUUr9A4Ve9BzS7KRsWXc16Rb06U2p5x6Gb5iZb_j4CXGP8IAA9jEjmpmpALGUshVeiAnWVBqDcCkmoBVUioCuxU3OOwCjNc4nYrnu5ZZ7Tr5rf7mRee_3bd63wXcyDP2BU9kGlkOUzTBuOpaZv8fjKMtD62XbsO_yrbiKRfjuX6fi43n5vnitVuuXt8XTqgoECiuKhkxJxbUmE4m0Jq2M9tYGsD6GYGz0s00gz1yDURybWaOp9nPiktiqqcDT35CGnBNH95XaT59-HII7cnAnDq5wcEcODouHTp5cbvstJ7cbxtSXmGdMf3-2X_4</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>On generalized statistical convergence of double sequences via ideals</title><source>Springer Nature</source><creator>Belen, Cemal ; Yildirim, Mustafa</creator><creatorcontrib>Belen, Cemal ; Yildirim, Mustafa</creatorcontrib><description>The concept of statistical convergence is one of the most active area of research in the field of summability. Most of the new summability methods have relation with this popular method. In this paper we generalize the notions of statistical convergence, ( λ, μ )-statistical convergence, ( V , λ, μ ) summability and ( C , 1, 1) summability for a double sequence x  = ( x jk ) via ideals. We also establish the relation between our new methods.</description><identifier>ISSN: 0430-3202</identifier><identifier>EISSN: 1827-1510</identifier><identifier>DOI: 10.1007/s11565-011-0137-1</identifier><language>eng</language><publisher>Milan: Springer Milan</publisher><subject>Algebraic Geometry ; Analysis ; Geometry ; History of Mathematical Sciences ; Mathematics ; Mathematics and Statistics ; Numerical Analysis</subject><ispartof>Annali dell'Università di Ferrara. Sezione 7. Scienze matematiche, 2012-05, Vol.58 (1), p.11-20</ispartof><rights>Università degli Studi di Ferrara 2011</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c2031-2f525182e8425f224424354a77c07afcc57fa6bc2aee8053efd6d428a92e00573</citedby><cites>FETCH-LOGICAL-c2031-2f525182e8425f224424354a77c07afcc57fa6bc2aee8053efd6d428a92e00573</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,27900,27901</link.rule.ids></links><search><creatorcontrib>Belen, Cemal</creatorcontrib><creatorcontrib>Yildirim, Mustafa</creatorcontrib><title>On generalized statistical convergence of double sequences via ideals</title><title>Annali dell'Università di Ferrara. Sezione 7. Scienze matematiche</title><addtitle>Ann Univ Ferrara</addtitle><description>The concept of statistical convergence is one of the most active area of research in the field of summability. Most of the new summability methods have relation with this popular method. In this paper we generalize the notions of statistical convergence, ( λ, μ )-statistical convergence, ( V , λ, μ ) summability and ( C , 1, 1) summability for a double sequence x  = ( x jk ) via ideals. We also establish the relation between our new methods.</description><subject>Algebraic Geometry</subject><subject>Analysis</subject><subject>Geometry</subject><subject>History of Mathematical Sciences</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Numerical Analysis</subject><issn>0430-3202</issn><issn>1827-1510</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2012</creationdate><recordtype>article</recordtype><recordid>eNp9kM9KAzEQxoMoWKsP4C0vsDozSZrtUUr9A4Ve9BzS7KRsWXc16Rb06U2p5x6Gb5iZb_j4CXGP8IAA9jEjmpmpALGUshVeiAnWVBqDcCkmoBVUioCuxU3OOwCjNc4nYrnu5ZZ7Tr5rf7mRee_3bd63wXcyDP2BU9kGlkOUzTBuOpaZv8fjKMtD62XbsO_yrbiKRfjuX6fi43n5vnitVuuXt8XTqgoECiuKhkxJxbUmE4m0Jq2M9tYGsD6GYGz0s00gz1yDURybWaOp9nPiktiqqcDT35CGnBNH95XaT59-HII7cnAnDq5wcEcODouHTp5cbvstJ7cbxtSXmGdMf3-2X_4</recordid><startdate>201205</startdate><enddate>201205</enddate><creator>Belen, Cemal</creator><creator>Yildirim, Mustafa</creator><general>Springer Milan</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>201205</creationdate><title>On generalized statistical convergence of double sequences via ideals</title><author>Belen, Cemal ; Yildirim, Mustafa</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c2031-2f525182e8425f224424354a77c07afcc57fa6bc2aee8053efd6d428a92e00573</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2012</creationdate><topic>Algebraic Geometry</topic><topic>Analysis</topic><topic>Geometry</topic><topic>History of Mathematical Sciences</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Numerical Analysis</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Belen, Cemal</creatorcontrib><creatorcontrib>Yildirim, Mustafa</creatorcontrib><collection>CrossRef</collection><jtitle>Annali dell'Università di Ferrara. Sezione 7. Scienze matematiche</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Belen, Cemal</au><au>Yildirim, Mustafa</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On generalized statistical convergence of double sequences via ideals</atitle><jtitle>Annali dell'Università di Ferrara. Sezione 7. Scienze matematiche</jtitle><stitle>Ann Univ Ferrara</stitle><date>2012-05</date><risdate>2012</risdate><volume>58</volume><issue>1</issue><spage>11</spage><epage>20</epage><pages>11-20</pages><issn>0430-3202</issn><eissn>1827-1510</eissn><abstract>The concept of statistical convergence is one of the most active area of research in the field of summability. Most of the new summability methods have relation with this popular method. In this paper we generalize the notions of statistical convergence, ( λ, μ )-statistical convergence, ( V , λ, μ ) summability and ( C , 1, 1) summability for a double sequence x  = ( x jk ) via ideals. We also establish the relation between our new methods.</abstract><cop>Milan</cop><pub>Springer Milan</pub><doi>10.1007/s11565-011-0137-1</doi><tpages>10</tpages></addata></record>
fulltext fulltext
identifier ISSN: 0430-3202
ispartof Annali dell'Università di Ferrara. Sezione 7. Scienze matematiche, 2012-05, Vol.58 (1), p.11-20
issn 0430-3202
1827-1510
language eng
recordid cdi_crossref_primary_10_1007_s11565_011_0137_1
source Springer Nature
subjects Algebraic Geometry
Analysis
Geometry
History of Mathematical Sciences
Mathematics
Mathematics and Statistics
Numerical Analysis
title On generalized statistical convergence of double sequences via ideals
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-24T16%3A58%3A10IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-crossref_sprin&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=On%20generalized%20statistical%20convergence%20of%20double%20sequences%20via%20ideals&rft.jtitle=Annali%20dell'Universit%C3%A0%20di%20Ferrara.%20Sezione%207.%20Scienze%20matematiche&rft.au=Belen,%20Cemal&rft.date=2012-05&rft.volume=58&rft.issue=1&rft.spage=11&rft.epage=20&rft.pages=11-20&rft.issn=0430-3202&rft.eissn=1827-1510&rft_id=info:doi/10.1007/s11565-011-0137-1&rft_dat=%3Ccrossref_sprin%3E10_1007_s11565_011_0137_1%3C/crossref_sprin%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c2031-2f525182e8425f224424354a77c07afcc57fa6bc2aee8053efd6d428a92e00573%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true