{"id":"https://openalex.org/W3216921110","doi":"https://doi.org/10.1080/03081079.2021.1998032","title":"On strongly almost <i>\u03bb</i>-convergence and statistically almost <i>\u03bb</i>-convergence in the environment of uncertainty","display_name":"On strongly almost <i>\u03bb</i>-convergence and statistically almost <i>\u03bb</i>-convergence in the environment of uncertainty","publication_year":2021,"publication_date":"2021-11-18","ids":{"openalex":"https://openalex.org/W3216921110","doi":"https://doi.org/10.1080/03081079.2021.1998032","mag":"3216921110"},"language":"en","primary_location":{"id":"doi:10.1080/03081079.2021.1998032","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03081079.2021.1998032","pdf_url":null,"source":{"id":"https://openalex.org/S145553572","display_name":"International Journal of General Systems","issn_l":"0308-1079","issn":["0308-1079","1026-7492","1563-5104"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of General Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5073676775","display_name":"Jagannath Nath","orcid":null},"institutions":[{"id":"https://openalex.org/I196486160","display_name":"National Institute of Technology Agartala","ror":"https://ror.org/03swyrn62","country_code":"IN","type":"education","lineage":["https://openalex.org/I196486160"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Jagannath Nath","raw_affiliation_strings":["Department of Mathematics, NIT, Agartala, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, NIT, Agartala, India","institution_ids":["https://openalex.org/I196486160"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019797810","display_name":"Binod Chandra Tripathy","orcid":"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":true,"raw_author_name":"Binod Chandra Tripathy","raw_affiliation_strings":["Department of Mathematics, Tripura University, Tripura, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Tripura University, Tripura, India","institution_ids":["https://openalex.org/I72677176"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015028213","display_name":"Birojit Das","orcid":"https://orcid.org/0000-0001-7614-1051"},"institutions":[{"id":"https://openalex.org/I196486160","display_name":"National Institute of Technology Agartala","ror":"https://ror.org/03swyrn62","country_code":"IN","type":"education","lineage":["https://openalex.org/I196486160"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Birojit Das","raw_affiliation_strings":["Department of Mathematics, NIT, Agartala, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, NIT, Agartala, India","institution_ids":["https://openalex.org/I196486160"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111785213","display_name":"Baby Bhattacharya","orcid":"https://orcid.org/0000-0001-6053-6067"},"institutions":[{"id":"https://openalex.org/I196486160","display_name":"National Institute of Technology Agartala","ror":"https://ror.org/03swyrn62","country_code":"IN","type":"education","lineage":["https://openalex.org/I196486160"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Baby Bhattacharya","raw_affiliation_strings":["Department of Mathematics, NIT, Agartala, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, NIT, Agartala, India","institution_ids":["https://openalex.org/I196486160"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5019797810"],"corresponding_institution_ids":["https://openalex.org/I72677176"],"apc_list":null,"apc_paid":null,"fwci":2.9257,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.92670789,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"51","issue":"3","first_page":"262","last_page":"276"},"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/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"}},"topics":[{"id":"https://openalex.org/T12062","display_name":"Approximation Theory and Sequence Spaces","score":1.0,"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/T11545","display_name":"Advanced Banach Space Theory","score":0.9884999990463257,"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"}},{"id":"https://openalex.org/T12404","display_name":"Mathematical Approximation and Integration","score":0.9872000217437744,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/convergence","display_name":"Convergence (economics)","score":0.8036524653434753},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.759701132774353},{"id":"https://openalex.org/keywords/normal-convergence","display_name":"Normal convergence","score":0.685562252998352},{"id":"https://openalex.org/keywords/convergence-tests","display_name":"Convergence tests","score":0.6670161485671997},{"id":"https://openalex.org/keywords/modes-of-convergence","display_name":"Modes of convergence (annotated index)","score":0.6085729002952576},{"id":"https://openalex.org/keywords/compact-convergence","display_name":"Compact convergence","score":0.5801806449890137},{"id":"https://openalex.org/keywords/dominated-convergence-theorem","display_name":"Dominated convergence theorem","score":0.5550562739372253},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.5180185437202454},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4806212782859802},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43018150329589844},{"id":"https://openalex.org/keywords/weak-convergence","display_name":"Weak convergence","score":0.4287399649620056},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.4261060953140259},{"id":"https://openalex.org/keywords/uniform-convergence","display_name":"Uniform convergence","score":0.41170600056648254},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.31130051612854004},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.15771153569221497},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.1385711133480072},{"id":"https://openalex.org/keywords/topological-space","display_name":"Topological space","score":0.08161777257919312}],"concepts":[{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.8036524653434753},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.759701132774353},{"id":"https://openalex.org/C14928880","wikidata":"https://www.wikidata.org/wiki/Q1512559","display_name":"Normal convergence","level":4,"score":0.685562252998352},{"id":"https://openalex.org/C538505008","wikidata":"https://www.wikidata.org/wiki/Q3979448","display_name":"Convergence tests","level":4,"score":0.6670161485671997},{"id":"https://openalex.org/C48216909","wikidata":"https://www.wikidata.org/wiki/Q6889156","display_name":"Modes of convergence (annotated index)","level":5,"score":0.6085729002952576},{"id":"https://openalex.org/C5871375","wikidata":"https://www.wikidata.org/wiki/Q1780715","display_name":"Compact convergence","level":4,"score":0.5801806449890137},{"id":"https://openalex.org/C38487692","wikidata":"https://www.wikidata.org/wiki/Q1067156","display_name":"Dominated convergence theorem","level":5,"score":0.5550562739372253},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.5180185437202454},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4806212782859802},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43018150329589844},{"id":"https://openalex.org/C57945734","wikidata":"https://www.wikidata.org/wiki/Q7977941","display_name":"Weak convergence","level":3,"score":0.4287399649620056},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.4261060953140259},{"id":"https://openalex.org/C157709441","wikidata":"https://www.wikidata.org/wiki/Q1411887","display_name":"Uniform convergence","level":3,"score":0.41170600056648254},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.31130051612854004},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15771153569221497},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.1385711133480072},{"id":"https://openalex.org/C81332173","wikidata":"https://www.wikidata.org/wiki/Q179899","display_name":"Topological space","level":2,"score":0.08161777257919312},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C47776270","wikidata":"https://www.wikidata.org/wiki/Q1455249","display_name":"Topological vector space","level":3,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"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/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C174265945","wikidata":"https://www.wikidata.org/wiki/Q1142889","display_name":"Isolated point","level":4,"score":0.0},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C76178495","wikidata":"https://www.wikidata.org/wiki/Q4808784","display_name":"Asset (computer security)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/03081079.2021.1998032","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03081079.2021.1998032","pdf_url":null,"source":{"id":"https://openalex.org/S145553572","display_name":"International Journal of General Systems","issn_l":"0308-1079","issn":["0308-1079","1026-7492","1563-5104"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of General Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.6000000238418579}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W86825932","https://openalex.org/W2013417878","https://openalex.org/W2031685471","https://openalex.org/W2034145661","https://openalex.org/W2040457765","https://openalex.org/W2041701747","https://openalex.org/W2150080768","https://openalex.org/W2254978432","https://openalex.org/W2305832237","https://openalex.org/W2313013207","https://openalex.org/W2333638238","https://openalex.org/W2592482033","https://openalex.org/W2599659463","https://openalex.org/W2759853430","https://openalex.org/W2942690213","https://openalex.org/W2954032996","https://openalex.org/W2963034434","https://openalex.org/W3022371248","https://openalex.org/W3037468884","https://openalex.org/W3093035124","https://openalex.org/W3093168003","https://openalex.org/W3096793218","https://openalex.org/W3100293813","https://openalex.org/W3105812264","https://openalex.org/W3107713910","https://openalex.org/W3109410210","https://openalex.org/W3121419154","https://openalex.org/W3135634669","https://openalex.org/W3149772338","https://openalex.org/W3162080754","https://openalex.org/W4234521054","https://openalex.org/W4285086121"],"related_works":["https://openalex.org/W2034145661","https://openalex.org/W4253827225","https://openalex.org/W2102183453","https://openalex.org/W2482464444","https://openalex.org/W2389658966","https://openalex.org/W3124639662","https://openalex.org/W2028595206","https://openalex.org/W2022177602","https://openalex.org/W2246194234","https://openalex.org/W2099365622"],"abstract_inverted_index":{"The":[0],"main":[1],"aim":[2],"of":[3,16,42,48,50,61,101],"this":[4,86],"article":[5],"is":[6],"to":[7],"study":[8],"strongly":[9,64],"almost":[10,14,65,69,72,83,102],"\u03bb-convergence":[11,15,66],"and":[12,32,80,94],"statistically":[13,68],"complex":[17],"uncertain":[18],"sequences":[19,51],"in":[20,55,58,71,74,76,78,81,98],"two":[21],"aspects.":[22],"At":[23],"first":[24],"we":[25,34,89],"introduce":[26],"these":[27,46],"notions":[28,93],"via":[29],"Orlicz":[30],"function":[31],"then":[33,95],"do":[35],"the":[36,59,91,99],"same":[37],"by":[38],"following":[39],"usual":[40],"path":[41],"convergence.":[43],"In":[44,85],"general,":[45],"types":[47],"convergences":[49],"can":[52],"be":[53],"done":[54],"five":[56],"directions":[57],"environment":[60],"uncertainty,":[62],"namely":[63],"(respectively,":[67],"\u03bb-convergence)":[70],"surely,":[73],"mean,":[75],"measure,":[77],"distribution":[79],"uniformly":[82],"surely.":[84,103],"research":[87],"article,":[88],"define":[90],"said":[92],"characterize":[96],"those":[97],"direction":[100]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}