{"id":"https://openalex.org/W4200219730","doi":"https://doi.org/10.17678/beuscitech.1013596","title":"Some inclusion results for the new Tribonacci-Lucas matrix","display_name":"Some inclusion results for the new Tribonacci-Lucas matrix","publication_year":2021,"publication_date":"2021-12-10","ids":{"openalex":"https://openalex.org/W4200219730","doi":"https://doi.org/10.17678/beuscitech.1013596"},"language":"en","primary_location":{"id":"doi:10.17678/beuscitech.1013596","doi":"https://doi.org/10.17678/beuscitech.1013596","is_oa":true,"landing_page_url":"https://doi.org/10.17678/beuscitech.1013596","pdf_url":"https://dergipark.org.tr/en/download/article-file/2041843","source":{"id":"https://openalex.org/S4210211532","display_name":"Bitlis Eren University Journal of Science and Technology","issn_l":"2146-7706","issn":["2146-7706"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Bitlis Eren University Journal of Science and Technology","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://dergipark.org.tr/en/download/article-file/2041843","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5012459323","display_name":"Murat Karaka\u015f","orcid":"https://orcid.org/0000-0002-5174-0282","observed_orcids":["https://orcid.org/0000-0002-5174-0282"]},"institutions":[{"id":"https://openalex.org/I41055640","display_name":"Bitlis Eren University","ror":"https://ror.org/00mm4ys28","country_code":"TR","type":"education","lineage":["https://openalex.org/I41055640"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"Murat KARAKA\u015e","raw_affiliation_strings":["Bitlis Eren \u00dcniversitesi","Bitlis Eren University, Department of Mathematics, TR-13000, Bitlis, Turkey"],"raw_orcid":"https://orcid.org/0000-0002-5174-0282","affiliations":[{"raw_affiliation_string":"Bitlis Eren \u00dcniversitesi","institution_ids":["https://openalex.org/I41055640"]},{"raw_affiliation_string":"Bitlis Eren University, Department of Mathematics, TR-13000, Bitlis, Turkey","institution_ids":["https://openalex.org/I41055640"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5012459323"],"corresponding_institution_ids":["https://openalex.org/I41055640"],"apc_list":null,"apc_paid":null,"fwci":0.4178,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.45530052,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":95},"biblio":{"volume":"11","issue":"2","first_page":"76","last_page":"81"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12062","display_name":"Approximation Theory and Sequence Spaces","score":0.9994999766349792,"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":0.9994999766349792,"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/T12516","display_name":"Advanced Mathematical Theories and Applications","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11564","display_name":"Mathematical Inequalities and Applications","score":9.999999747378752e-05,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/regular-matrices","display_name":"regular matrices","score":0.5709999799728394},{"id":"https://openalex.org/keywords/summability-methods","display_name":"summability methods","score":0.9470000267028809},{"id":"https://openalex.org/keywords/riesz-means","display_name":"Riesz means","score":0.7789999842643738},{"id":"https://openalex.org/keywords/norlund-means","display_name":"N\u00f6rlund means","score":0.9980000257492065},{"id":"https://openalex.org/keywords/cesaro-means","display_name":"Ces\u00e0ro means","score":0.9010000228881836},{"id":"https://openalex.org/keywords/inclusion-theorems","display_name":"inclusion theorems","score":0.8489999771118164},{"id":"https://openalex.org/keywords/matrix-summability","display_name":"matrix summability","score":0.6549999713897705}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7225189805030823},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.6762121915817261},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.6384338140487671},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5771934986114502},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.35104596614837646},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1353992223739624},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.037645429372787476},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.17678/beuscitech.1013596","doi":"https://doi.org/10.17678/beuscitech.1013596","is_oa":true,"landing_page_url":"https://doi.org/10.17678/beuscitech.1013596","pdf_url":"https://dergipark.org.tr/en/download/article-file/2041843","source":{"id":"https://openalex.org/S4210211532","display_name":"Bitlis Eren University Journal of Science and Technology","issn_l":"2146-7706","issn":["2146-7706"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Bitlis Eren University Journal of Science and Technology","raw_type":"journal-article"},{"id":"pmh:oai:dergipark.org.tr:article/1013596","doi":null,"is_oa":true,"landing_page_url":"https://dergipark.org.tr/tr/pub/beuscitech/issue/66323/1013596","pdf_url":"https://dergipark.org.tr/tr/pub/beuscitech/issue/66323/1013596","source":{"id":"https://openalex.org/S4210211532","display_name":"Bitlis Eren University Journal of Science and Technology","issn_l":"2146-7706","issn":["2146-7706"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Bitlis Eren University Journal of Science and Technology","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.17678/beuscitech.1013596","doi":"https://doi.org/10.17678/beuscitech.1013596","is_oa":true,"landing_page_url":"https://doi.org/10.17678/beuscitech.1013596","pdf_url":"https://dergipark.org.tr/en/download/article-file/2041843","source":{"id":"https://openalex.org/S4210211532","display_name":"Bitlis Eren University Journal of Science and Technology","issn_l":"2146-7706","issn":["2146-7706"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Bitlis Eren University Journal of Science and Technology","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4200219730.pdf","grobid_xml":"https://content.openalex.org/works/W4200219730.grobid-xml"},"referenced_works_count":8,"referenced_works":["https://openalex.org/W181947251","https://openalex.org/W2322669840","https://openalex.org/W2500380731","https://openalex.org/W2785357403","https://openalex.org/W2791188369","https://openalex.org/W2974762984","https://openalex.org/W3030774035","https://openalex.org/W3041447976"],"related_works":["https://openalex.org/W3040748704","https://openalex.org/W4390450589","https://openalex.org/W2791188369","https://openalex.org/W2512249347","https://openalex.org/W4285320101","https://openalex.org/W2047874217","https://openalex.org/W3047704403","https://openalex.org/W2995700930","https://openalex.org/W2168257510","https://openalex.org/W4245911509"],"abstract_inverted_index":{"The":[0],"main":[1],"purpose":[2],"of":[3,17,21],"this":[4,29],"paper":[5],"is":[6,56,77],"first":[7],"to":[8,64],"establish":[9],"a":[10,57],"new":[11,30],"regular":[12,58],"matrix":[13,32,55,76],"by":[14],"using":[15],"one":[16],"the":[18,53,80],"important":[19],"sequences":[20],"integer":[22],"number":[23],"called":[24],"Tribonacci-Lucas.":[25],"Also,":[26],"we":[27,50,66],"class":[28],"Tribonacci-Lucas":[31,54,81],"with":[33],"some":[34,68],"well-known":[35],"summability":[36,59],"methods":[37],"such":[38],"as":[39],"Riesz":[40],"means,":[41],"N\u00f6rlund":[42],"means":[43],"and":[44,61,71],"Cesaro":[45,75],"means.":[46],"To":[47],"do":[48],"this,":[49,65],"show":[51],"that":[52,74],"method":[60],"in":[62],"addition":[63],"give":[67],"inclusion":[69],"results":[70],"finally":[72],"prove":[73],"stronger":[78],"than":[79],"matrix.":[82]},"counts_by_year":[{"year":2023,"cited_by_count":2}],"updated_date":"2026-11-13T13:42:25.865203","created_date":"2021-12-31T00:00:00"}
