{"id":"https://openalex.org/W4409436618","doi":"https://doi.org/10.2298/fil2411957k","title":"Almost convergent double sequences of bi-complex numbers","display_name":"Almost convergent double sequences of bi-complex numbers","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4409436618","doi":"https://doi.org/10.2298/fil2411957k"},"language":"en","primary_location":{"id":"doi:10.2298/fil2411957k","doi":"https://doi.org/10.2298/fil2411957k","is_oa":true,"landing_page_url":"https://doi.org/10.2298/fil2411957k","pdf_url":"http://www.doiserbia.nb.rs/ft.aspx?id=0354-51802411957K","source":{"id":"https://openalex.org/S14920484","display_name":"Filomat","issn_l":"0354-5180","issn":["0354-5180","2406-0933"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-d","jufo-1","norway-1","poland-40","russia-white-list-2"],"host_organization":"https://openalex.org/P4310321616","host_organization_name":"University of Ni\u0161","host_organization_lineage":["https://openalex.org/P4310321616"],"host_organization_lineage_names":["University of Ni\u0161"],"type":"journal"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Filomat","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"http://www.doiserbia.nb.rs/ft.aspx?id=0354-51802411957K","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103893697","display_name":"Sujeet Kumar","orcid":"https://orcid.org/0000-0002-0299-9415","observed_orcids":["https://orcid.org/0000-0002-0299-9415"]},"institutions":[{"id":"https://openalex.org/I72677176","display_name":"Tripura University","ror":"https://ror.org/05xqycm14","country_code":"IN","type":"education","lineage":["https://openalex.org/I72677176"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Sujeet Kumar","raw_affiliation_strings":["Department of Mathematics, Tripura University, Agartala, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Tripura University, Agartala, India","institution_ids":["https://openalex.org/I72677176"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019797810","display_name":"Binod Chandra Tripathy","orcid":"https://orcid.org/0000-0002-0738-652X","observed_orcids":["https://orcid.org/0000-0002-0738-652X"]},"institutions":[{"id":"https://openalex.org/I72677176","display_name":"Tripura University","ror":"https://ror.org/05xqycm14","country_code":"IN","type":"education","lineage":["https://openalex.org/I72677176"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Binod Tripathy","raw_affiliation_strings":["Department of Mathematics, Tripura University, Agartala, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Tripura University, Agartala, India","institution_ids":["https://openalex.org/I72677176"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I72677176"],"apc_list":null,"apc_paid":null,"fwci":1.8676,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.82214991,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":98},"biblio":{"volume":"38","issue":"11","first_page":"3957","last_page":"3970"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12062","display_name":"Approximation Theory and Sequence Spaces","score":0.9872999787330627,"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":0.9872999787330627,"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/T12037","display_name":"Algebraic and Geometric Analysis","score":0.007799999788403511,"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/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.0005000000237487257,"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/almost-convergence","display_name":"almost convergence","score":0.9589999914169312},{"id":"https://openalex.org/keywords/double-sequences","display_name":"double sequences","score":0.9549999833106995},{"id":"https://openalex.org/keywords/vector-spaces","display_name":"vector spaces","score":0.8169999718666077},{"id":"https://openalex.org/keywords/l2-norm","display_name":"L2 norm","score":0.7960000038146973},{"id":"https://openalex.org/keywords/topological-properties","display_name":"topological properties","score":0.7900000214576721}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9467845559120178},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.39045020937919617},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3733198642730713}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.2298/fil2411957k","doi":"https://doi.org/10.2298/fil2411957k","is_oa":true,"landing_page_url":"https://doi.org/10.2298/fil2411957k","pdf_url":"http://www.doiserbia.nb.rs/ft.aspx?id=0354-51802411957K","source":{"id":"https://openalex.org/S14920484","display_name":"Filomat","issn_l":"0354-5180","issn":["0354-5180","2406-0933"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-d","jufo-1","norway-1","poland-40","russia-white-list-2"],"host_organization":"https://openalex.org/P4310321616","host_organization_name":"University of Ni\u0161","host_organization_lineage":["https://openalex.org/P4310321616"],"host_organization_lineage_names":["University of Ni\u0161"],"type":"journal"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Filomat","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.2298/fil2411957k","doi":"https://doi.org/10.2298/fil2411957k","is_oa":true,"landing_page_url":"https://doi.org/10.2298/fil2411957k","pdf_url":"http://www.doiserbia.nb.rs/ft.aspx?id=0354-51802411957K","source":{"id":"https://openalex.org/S14920484","display_name":"Filomat","issn_l":"0354-5180","issn":["0354-5180","2406-0933"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-d","jufo-1","norway-1","poland-40","russia-white-list-2"],"host_organization":"https://openalex.org/P4310321616","host_organization_name":"University of Ni\u0161","host_organization_lineage":["https://openalex.org/P4310321616"],"host_organization_lineage_names":["University of Ni\u0161"],"type":"journal"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Filomat","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/W4409436618.pdf","grobid_xml":"https://content.openalex.org/works/W4409436618.grobid-xml"},"referenced_works_count":13,"referenced_works":["https://openalex.org/W302752317","https://openalex.org/W1597664834","https://openalex.org/W2029521333","https://openalex.org/W2031685471","https://openalex.org/W2056891424","https://openalex.org/W2059519737","https://openalex.org/W2092831171","https://openalex.org/W2093400063","https://openalex.org/W2125625033","https://openalex.org/W2168720431","https://openalex.org/W2325685335","https://openalex.org/W3157693442","https://openalex.org/W4210954224"],"related_works":["https://openalex.org/W4402473684","https://openalex.org/W4404114302","https://openalex.org/W7219431220","https://openalex.org/W4410322915","https://openalex.org/W4404491812","https://openalex.org/W2325685335","https://openalex.org/W4214814591","https://openalex.org/W2896640989","https://openalex.org/W2972140417","https://openalex.org/W4224209448"],"abstract_inverted_index":{"In":[0],"this":[1],"article":[2],"we":[3,49],"have":[4,30,50,60],"introduced":[5],"the":[6,39,42],"notion":[7],"of":[8,20,26,41],"almost":[9,12,14,18],"convergence,":[10,13],"strongly":[11,17],"null":[15,19],"and":[16,37,55],"double":[21],"sequences":[22],"in":[23],"Pringsheim":[24],"sense":[25],"bi-complex":[27,47],"numbers.":[28],"We":[29],"proved":[31,51],"that":[32],"these":[33],"are":[34],"linear":[35],"spaces":[36],"with":[38],"help":[40],"Euclidean":[43],"norm":[44],"defined":[45],"on":[46],"numbers,":[48],"their":[52],"different":[53],"algebraic":[54],"topological":[56],"properties.":[57],"Suitable":[58],"examples":[59],"been":[61],"discussed.":[62]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-09-12T09:15:50.089291","created_date":"2025-04-15T00:00:00"}
