{"id":"https://openalex.org/W4403582802","doi":"https://doi.org/10.2478/tmmp-2024-0013","title":"On I -Statistically Cauchy Sequences & the Class of I -Statistically Concurrent Sequences","display_name":"On I -Statistically Cauchy Sequences & the Class of I -Statistically Concurrent Sequences","publication_year":2024,"publication_date":"2024-09-01","ids":{"openalex":"https://openalex.org/W4403582802","doi":"https://doi.org/10.2478/tmmp-2024-0013"},"language":"en","primary_location":{"id":"doi:10.2478/tmmp-2024-0013","doi":"https://doi.org/10.2478/tmmp-2024-0013","is_oa":true,"landing_page_url":"https://doi.org/10.2478/tmmp-2024-0013","pdf_url":"https://reference-global.com/2/v2/download/article/10.2478/tmmp-2024-0013.pdf","source":{"id":"https://openalex.org/S2764795475","display_name":"Tatra Mountains Mathematical Publications","issn_l":"1210-3195","issn":["1210-3195","1338-9750"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","jufo-1","norway-1","poland-40","russia-white-list-3"],"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Tatra Mountains Mathematical Publications","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://reference-global.com/2/v2/download/article/10.2478/tmmp-2024-0013.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5011990120","display_name":"Debjani Rakshit","orcid":"https://orcid.org/0000-0001-8877-6484","observed_orcids":["https://orcid.org/0000-0001-8877-6484","https://orcid.org/0000-0001-9186-010X"]},"institutions":[{"id":"https://openalex.org/I173462786","display_name":"ICFAI University, Tripura","ror":"https://ror.org/01c06s784","country_code":"IN","type":"education","lineage":["https://openalex.org/I173462786"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Debjani Rakshit","raw_affiliation_strings":["Department of Mathematics , The ICFAI University Tripura , Kamalghat , India -799210"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics , The ICFAI University Tripura , Kamalghat , India -799210","institution_ids":["https://openalex.org/I173462786"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041180021","display_name":"Prasenjit Bal","orcid":"https://orcid.org/0000-0001-5047-7390","observed_orcids":["https://orcid.org/0000-0001-5047-7390"]},"institutions":[{"id":"https://openalex.org/I173462786","display_name":"ICFAI University, Tripura","ror":"https://ror.org/01c06s784","country_code":"IN","type":"education","lineage":["https://openalex.org/I173462786"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Prasenjit Bal","raw_affiliation_strings":["Department of Mathematics , The ICFAI University Tripura , Kamalghat , India -799210"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics , The ICFAI University Tripura , Kamalghat , India -799210","institution_ids":["https://openalex.org/I173462786"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037637802","display_name":"Shyamal Debnath","orcid":"https://orcid.org/0000-0003-2804-6564","observed_orcids":["https://orcid.org/0000-0003-2804-6564"]},"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":"Shyamal Debnath","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":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3196,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.48847451,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"86","issue":"1","first_page":"111","last_page":"122"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12062","display_name":"Approximation Theory and Sequence Spaces","score":0.9990000128746033,"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":0.9990000128746033,"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/T11151","display_name":"Advanced Topology and Set Theory","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T11777","display_name":"Fixed Point Theorems Analysis","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/metric-spaces","display_name":"metric spaces","score":0.8560000061988831},{"id":"https://openalex.org/keywords/convergence-of-sequences","display_name":"convergence of sequences","score":0.7070000171661377}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9084445834159851},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6356819868087769},{"id":"https://openalex.org/C49344536","wikidata":"https://www.wikidata.org/wiki/Q726441","display_name":"Cauchy distribution","level":2,"score":0.6196787357330322},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.406543493270874},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.4006531834602356},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3674442768096924},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06399151682853699},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.2478/tmmp-2024-0013","doi":"https://doi.org/10.2478/tmmp-2024-0013","is_oa":true,"landing_page_url":"https://doi.org/10.2478/tmmp-2024-0013","pdf_url":"https://reference-global.com/2/v2/download/article/10.2478/tmmp-2024-0013.pdf","source":{"id":"https://openalex.org/S2764795475","display_name":"Tatra Mountains Mathematical Publications","issn_l":"1210-3195","issn":["1210-3195","1338-9750"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","jufo-1","norway-1","poland-40","russia-white-list-3"],"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Tatra Mountains Mathematical Publications","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.2478/tmmp-2024-0013","doi":"https://doi.org/10.2478/tmmp-2024-0013","is_oa":true,"landing_page_url":"https://doi.org/10.2478/tmmp-2024-0013","pdf_url":"https://reference-global.com/2/v2/download/article/10.2478/tmmp-2024-0013.pdf","source":{"id":"https://openalex.org/S2764795475","display_name":"Tatra Mountains Mathematical Publications","issn_l":"1210-3195","issn":["1210-3195","1338-9750"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","jufo-1","norway-1","poland-40","russia-white-list-3"],"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Tatra Mountains Mathematical Publications","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4403582802.pdf","grobid_xml":"https://content.openalex.org/works/W4403582802.grobid-xml"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W765752407","https://openalex.org/W2012285303","https://openalex.org/W2020134425","https://openalex.org/W2029045697","https://openalex.org/W2083616714","https://openalex.org/W2090524486","https://openalex.org/W2150080768","https://openalex.org/W2275407910","https://openalex.org/W2313013207","https://openalex.org/W2739263271","https://openalex.org/W4255725121","https://openalex.org/W4386336476","https://openalex.org/W4390271480","https://openalex.org/W6829104331"],"related_works":["https://openalex.org/W2081437860","https://openalex.org/W2739263271","https://openalex.org/W1879522353","https://openalex.org/W7098507433","https://openalex.org/W6988590500","https://openalex.org/W2090524486","https://openalex.org/W2316352616","https://openalex.org/W2484720719","https://openalex.org/W4313395191","https://openalex.org/W2020134425"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2,38],"article,":[3],"we":[4,36,50,107],"present":[5],"the":[6,21,34,71,74,78,87,115],"ideas":[7],"of":[8,23,55,91,122,130],"I":[9,14,24,27,39,56,62,76,125],"-statistically":[10,16,40,58,63,126],"Cauchy":[11,17,41,47,59,64,127],"criteria":[12],"and":[13,26,61,66],"\u2217":[15,28,57],"criteria,":[18],"which":[19,98],"are":[20,124],"generalizations":[22],"-Cauchy":[25,29],"criterion,":[30],"respectively.":[31],"To":[32],"grasp":[33],"differences,":[35],"compare":[37],"criterion":[42],"with":[43],"a":[44,52,82,95],"few":[45,53],"other":[46],"criteria.":[48],"Also,":[49],"investigate":[51],"characteristics":[54],"sequences":[60,65,93,112],"demonstrate":[67],"their":[68],"equivalence":[69,104,117],"under":[70],"condition":[72],"that":[73,109],"ideal":[75],"satisfies":[77],"property":[79],"(AP).":[80],"Furthermore,":[81],"relation":[83],"is":[84],"defined":[85],"on":[86],"set":[88],"S":[89],"X":[90],"all":[92],"in":[94],"metric":[96],"space,":[97],"comes":[99],"out":[100],"to":[101,114],"be":[102],"an":[103],"relation.":[105],"Finally,":[106],"show":[108],"if":[110],"two":[111],"belong":[113],"same":[116],"class,":[118],"then":[119],"either":[120],"both":[121],"them":[123,131],"or":[128],"none":[129],"are.":[132]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-09-24T07:57:37.273135","created_date":"2024-10-21T00:00:00"}