{"id":"https://openalex.org/W202017778","doi":null,"title":"I-limit superior and limit inferior","display_name":"I-limit superior and limit inferior","publication_year":2001,"publication_date":"2001-12-20","ids":{"openalex":"https://openalex.org/W202017778","mag":"202017778"},"language":"en","primary_location":{"id":"pmh:oai:acikerisim.sinop.edu.tr:11486/264","doi":null,"is_oa":true,"landing_page_url":"https://hdl.handle.net/11486/264","pdf_url":"https://hdl.handle.net/11486/264","source":{"id":"https://openalex.org/S4377196687","display_name":"DSpace-Sinop (Sinop University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I76257594","host_organization_name":"Sinop University","host_organization_lineage":["https://openalex.org/I76257594"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hdl.handle.net/11486/264","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5067207587","display_name":"Kami\u0307l Demi\u0307rci\u0307","orcid":"https://orcid.org/0000-0002-5976-9768","observed_orcids":["https://orcid.org/0000-0002-5976-9768"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Kami\u0307l Demi\u0307rci\u0307","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-5976-9768","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5067207587"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9837,"has_fulltext":true,"cited_by_count":91,"citation_normalized_percentile":{"value":0.69588056,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":99},"biblio":{"volume":"6","issue":"2","first_page":"165","last_page":"172"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12062","display_name":"Approximation Theory and Sequence Spaces","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12062","display_name":"Approximation Theory and Sequence Spaces","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13500","display_name":"Probability and Statistical Research","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/matrix-summability","display_name":"matrix summability","score":0.7889999747276306}],"concepts":[{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.8109710216522217},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7976614832878113},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.7688530683517456},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6069399118423462},{"id":"https://openalex.org/C71287196","wikidata":"https://www.wikidata.org/wiki/Q847204","display_name":"Limit of a sequence","level":3,"score":0.5680482387542725},{"id":"https://openalex.org/C2164484","wikidata":"https://www.wikidata.org/wiki/Q5170150","display_name":"Core (optical fiber)","level":2,"score":0.49565422534942627},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.47057077288627625},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4475095868110657},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.363422691822052},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23360273241996765},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07886004447937012},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:acikerisim.sinop.edu.tr:11486/264","doi":null,"is_oa":true,"landing_page_url":"https://hdl.handle.net/11486/264","pdf_url":"https://hdl.handle.net/11486/264","source":{"id":"https://openalex.org/S4377196687","display_name":"DSpace-Sinop (Sinop University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I76257594","host_organization_name":"Sinop University","host_organization_lineage":["https://openalex.org/I76257594"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"pmh:oai:hrcak.srce.hr:824","doi":null,"is_oa":true,"landing_page_url":"http://hrcak.srce.hr/824","pdf_url":"http://hrcak.srce.hr/file/1589","source":{"id":"https://openalex.org/S4306400071","display_name":"University of Zagreb University Computing Centre (SRCE)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I181343428","host_organization_name":"University of Zagreb","host_organization_lineage":["https://openalex.org/I181343428"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Mathematical Communications","raw_type":"info:eu-repo/semantics/article"},{"id":"mag:202017778","doi":null,"is_oa":true,"landing_page_url":"https://hrcak.srce.hr/824?lang=en","pdf_url":null,"source":{"id":"https://openalex.org/S182205653","display_name":"Mathematical communications","issn_l":"1331-0623","issn":["1331-0623","1848-8013"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","ddh","doaj","dongbi-c","jufo-1","norway-1","oarl","poland-40","russia-white-list-2"],"host_organization":"https://openalex.org/P4310314779","host_organization_name":"Department of Mathematics, J.J. Strossmayer University of Osijek in cooperation with the Osijek Mathematical Society","host_organization_lineage":["https://openalex.org/P4310314779"],"host_organization_lineage_names":["Department of Mathematics, J.J. Strossmayer University of Osijek in cooperation with the Osijek Mathematical Society"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Mathematical communications","raw_type":null}],"best_oa_location":{"id":"pmh:oai:acikerisim.sinop.edu.tr:11486/264","doi":null,"is_oa":true,"landing_page_url":"https://hdl.handle.net/11486/264","pdf_url":"https://hdl.handle.net/11486/264","source":{"id":"https://openalex.org/S4377196687","display_name":"DSpace-Sinop (Sinop University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I76257594","host_organization_name":"Sinop University","host_organization_lineage":["https://openalex.org/I76257594"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W202017778.pdf","grobid_xml":"https://content.openalex.org/works/W202017778.grobid-xml"},"referenced_works_count":17,"referenced_works":["https://openalex.org/W72121821","https://openalex.org/W1489168676","https://openalex.org/W1599424622","https://openalex.org/W1988271588","https://openalex.org/W1998202264","https://openalex.org/W2012285303","https://openalex.org/W2013417878","https://openalex.org/W2015379221","https://openalex.org/W2040639182","https://openalex.org/W2102139684","https://openalex.org/W2150080768","https://openalex.org/W2313013207","https://openalex.org/W2313084770","https://openalex.org/W2321522386","https://openalex.org/W2599659463","https://openalex.org/W3139889408","https://openalex.org/W3175367423"],"related_works":["https://openalex.org/W1599424622","https://openalex.org/W2275407910","https://openalex.org/W2509468230","https://openalex.org/W1489168676","https://openalex.org/W7096230039","https://openalex.org/W1981324615","https://openalex.org/W4298282862","https://openalex.org/W2146317846","https://openalex.org/W7096517821","https://openalex.org/W3121274094"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3,41],"extend":[4,42],"concepts":[5],"of":[6,27,29,38,45],"statistical":[7,30,47],"limit":[8,31],"superior":[9,20,32],"and":[10,16,21,23,33,56],"inferior":[11,22,34],"(as":[12],"introduced":[13],"by":[14],"Fridy":[15],"Orhan)":[17],"to":[18,49,65],"I-limit":[19],"give":[24],"some":[25],"I-analogue":[26],"properties":[28],"for":[35,51,60],"a":[36,52,61,75],"sequence":[37,55],"real":[39],"numbers.Also":[40],"the":[43,46],"concept":[44],"core":[48],"I-core":[50,67,70],"complex":[53,77],"number":[54,78],"get":[57],"necessary":[58],"conditions":[59],"summability":[62],"matrix":[63],"A":[64],"yield":[66],"{Ax}":[68],"\u2286":[69],"{x}":[71],"whenever":[72],"x":[73],"is":[74],"bounded":[76],"sequence.":[79]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":13},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":12},{"year":2013,"cited_by_count":9},{"year":2012,"cited_by_count":4}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}