{"id":"https://openalex.org/W2996926089","doi":"https://doi.org/10.33581/2520-6508-2019-3-18-34","title":"Fejer means of rational Fourier \u2013 Chebyshev series and approximation of function |x|s","display_name":"Fejer means of rational Fourier \u2013 Chebyshev series and approximation of function |x|s","publication_year":2019,"publication_date":"2019-11-29","ids":{"openalex":"https://openalex.org/W2996926089","doi":"https://doi.org/10.33581/2520-6508-2019-3-18-34","mag":"2996926089"},"language":"en","primary_location":{"id":"doi:10.33581/2520-6508-2019-3-18-34","doi":"https://doi.org/10.33581/2520-6508-2019-3-18-34","is_oa":true,"landing_page_url":"https://doi.org/10.33581/2520-6508-2019-3-18-34","pdf_url":null,"source":{"id":"https://openalex.org/S4210192308","display_name":"Journal of the Belarusian State University Mathematics and Informatics","issn_l":"2520-6508","issn":["2520-6508","2617-3956"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj","poland-20","russia-white-list-3"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Belarusian State University. Mathematics and Informatics","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.33581/2520-6508-2019-3-18-34","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5007485477","display_name":"Pavel Gennadjevich Potseiko","orcid":"https://orcid.org/0000-0001-7835-0500","observed_orcids":["https://orcid.org/0000-0001-7835-0500"]},"institutions":[{"id":"https://openalex.org/I112112522","display_name":"Yanka Kupala State University of Grodno","ror":"https://ror.org/03q92e557","country_code":"BY","type":"education","lineage":["https://openalex.org/I112112522"]}],"countries":["BY"],"is_corresponding":false,"raw_author_name":"Pavel G. Patseika","raw_affiliation_strings":["Yanka Kupala State University of Grodno"],"raw_orcid":"https://orcid.org/0000-0001-7835-0500","affiliations":[{"raw_affiliation_string":"Yanka Kupala State University of Grodno","institution_ids":["https://openalex.org/I112112522"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108611751","display_name":"Yauheni A. Rouba","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I112112522","display_name":"Yanka Kupala State University of Grodno","ror":"https://ror.org/03q92e557","country_code":"BY","type":"education","lineage":["https://openalex.org/I112112522"]}],"countries":["BY"],"is_corresponding":false,"raw_author_name":"Yauheni A. Rouba","raw_affiliation_strings":["Yanka Kupala State University of Grodno"],"raw_orcid":"https://orcid.org/0000-0002-1265-1965","affiliations":[{"raw_affiliation_string":"Yanka Kupala State University of Grodno","institution_ids":["https://openalex.org/I112112522"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I112112522"],"apc_list":null,"apc_paid":null,"fwci":0.2066,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.33808019,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":96},"biblio":{"volume":null,"issue":"3","first_page":"18","last_page":"34"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12062","display_name":"Approximation Theory and Sequence Spaces","score":0.9355000257492065,"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":0.9355000257492065,"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/T11191","display_name":"Mathematical functions and polynomials","score":0.05869999900460243,"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/T12404","display_name":"Mathematical Approximation and Integration","score":0.0019000000320374966,"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/fejer-means","display_name":"Fej\u00e9r means","score":0.9169999957084656},{"id":"https://openalex.org/keywords/algebraic-fractions","display_name":"algebraic fractions","score":0.9169999957084656},{"id":"https://openalex.org/keywords/uniform-convergence","display_name":"uniform convergence","score":0.6819999814033508},{"id":"https://openalex.org/keywords/optimal-parameters","display_name":"optimal parameters","score":0.4569999873638153},{"id":"https://openalex.org/keywords/asymptotic-estimates","display_name":"asymptotic bounds","score":0.6460000276565552}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8432631492614746},{"id":"https://openalex.org/C207864730","wikidata":"https://www.wikidata.org/wiki/Q179467","display_name":"Fourier series","level":2,"score":0.7203546166419983},{"id":"https://openalex.org/C9353750","wikidata":"https://www.wikidata.org/wiki/Q5384549","display_name":"Equioscillation theorem","level":5,"score":0.6507785320281982},{"id":"https://openalex.org/C171326582","wikidata":"https://www.wikidata.org/wiki/Q1052508","display_name":"Chebyshev nodes","level":3,"score":0.5386224985122681},{"id":"https://openalex.org/C21424316","wikidata":"https://www.wikidata.org/wiki/Q718621","display_name":"Chebyshev filter","level":2,"score":0.5239346623420715},{"id":"https://openalex.org/C117148685","wikidata":"https://www.wikidata.org/wiki/Q6865376","display_name":"Minimax approximation algorithm","level":2,"score":0.45715779066085815},{"id":"https://openalex.org/C142484921","wikidata":"https://www.wikidata.org/wiki/Q3890369","display_name":"Chebyshev equation","level":4,"score":0.44729289412498474},{"id":"https://openalex.org/C129785596","wikidata":"https://www.wikidata.org/wiki/Q619511","display_name":"Chebyshev polynomials","level":2,"score":0.4409683048725128},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4404575228691101},{"id":"https://openalex.org/C2777984123","wikidata":"https://www.wikidata.org/wiki/Q9248237","display_name":"Pointwise","level":2,"score":0.4373045861721039},{"id":"https://openalex.org/C145242015","wikidata":"https://www.wikidata.org/wiki/Q774123","display_name":"Approximation theory","level":2,"score":0.43102723360061646},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.42641910910606384},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.11558455228805542},{"id":"https://openalex.org/C78540521","wikidata":"https://www.wikidata.org/wiki/Q1498246","display_name":"Gegenbauer polynomials","level":4,"score":0.08573964238166809},{"id":"https://openalex.org/C21736991","wikidata":"https://www.wikidata.org/wiki/Q17006917","display_name":"Classical orthogonal polynomials","level":3,"score":0.06573396921157837}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.33581/2520-6508-2019-3-18-34","doi":"https://doi.org/10.33581/2520-6508-2019-3-18-34","is_oa":true,"landing_page_url":"https://doi.org/10.33581/2520-6508-2019-3-18-34","pdf_url":null,"source":{"id":"https://openalex.org/S4210192308","display_name":"Journal of the Belarusian State University Mathematics and Informatics","issn_l":"2520-6508","issn":["2520-6508","2617-3956"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj","poland-20","russia-white-list-3"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Belarusian State University. Mathematics and Informatics","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:06dfaa4afa834eda9a5c44014f4a6b0d","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/06dfaa4afa834eda9a5c44014f4a6b0d","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"\u0416\u0443\u0440\u043d\u0430\u043b \u0411\u0435\u043b\u043e\u0440\u0443\u0441\u0441\u043a\u043e\u0433\u043e \u0433\u043e\u0441\u0443\u0434\u0430\u0440\u0441\u0442\u0432\u0435\u043d\u043d\u043e\u0433\u043e \u0443\u043d\u0438\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442\u0430: \u041c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430, \u0438\u043d\u0444\u043e\u0440\u043c\u0430\u0442\u0438\u043a\u0430, Iss 3, Pp 18-34 (2019)","raw_type":"article"},{"id":"pmh:oai:elib.bsu.by:123456789/241001","doi":null,"is_oa":true,"landing_page_url":"http://elib.bsu.by/handle/123456789/241001","pdf_url":null,"source":{"id":"https://openalex.org/S4306402584","display_name":"BSU Digital Library (Belarusian State University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I291386647","host_organization_name":"Belarusian State University","host_organization_lineage":["https://openalex.org/I291386647"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"article"}],"best_oa_location":{"id":"doi:10.33581/2520-6508-2019-3-18-34","doi":"https://doi.org/10.33581/2520-6508-2019-3-18-34","is_oa":true,"landing_page_url":"https://doi.org/10.33581/2520-6508-2019-3-18-34","pdf_url":null,"source":{"id":"https://openalex.org/S4210192308","display_name":"Journal of the Belarusian State University Mathematics and Informatics","issn_l":"2520-6508","issn":["2520-6508","2617-3956"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj","poland-20","russia-white-list-3"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Belarusian State University. Mathematics and Informatics","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W199823781","https://openalex.org/W1482537073","https://openalex.org/W1973726525","https://openalex.org/W1979790522","https://openalex.org/W1996555795","https://openalex.org/W2009849678","https://openalex.org/W2028614766","https://openalex.org/W2029776525","https://openalex.org/W2066102636","https://openalex.org/W2094166191","https://openalex.org/W2319633204","https://openalex.org/W2799548971","https://openalex.org/W2906850576","https://openalex.org/W2968327425"],"related_works":["https://openalex.org/W2356956885","https://openalex.org/W4312735909","https://openalex.org/W3096887879","https://openalex.org/W2799548971","https://openalex.org/W3093456997","https://openalex.org/W2331789168","https://openalex.org/W3049364238","https://openalex.org/W3183491153","https://openalex.org/W2980006565","https://openalex.org/W6998388522"],"abstract_inverted_index":{"Approximation":[0],"properties":[1],"of":[2,5,13,21,38,49,61,63,66,69,77,94,100,118,120,127,135,137,143,146],"Fejer":[3,19,47,67],"means":[4,20,48,68],"Fourier":[6,53,147],"series":[7,56],"by":[8,18],"Chebyshev":[9,39,55,149],"\u2013":[10,40,54,148],"Markov":[11,41],"system":[12,37],"algebraic":[14,42],"fractions":[15,43],"and":[16,46,81,97,123],"approximation":[17,99,136],"function":[22,102],"|x|s,":[23,103],"0":[24,104],"<":[25,27,105,107],"s":[26,106],"2,":[28,108],"on":[29,72,84,109],"the":[30,50,64,78,85,95,101,110,113,124,128,132,138],"interval":[31,111],"[\u22121,1],":[32,112],"are":[33,90,141,150],"studied.":[34],"One":[35],"orthogonal":[36],"is":[44,57],"considers,":[45],"corresponding":[51],"rational":[52,144],"introduce.":[58],"The":[59],"order":[60],"approximations":[62],"sequence":[65],"continuous":[70],"functions":[71,140],"a":[73],"segment":[74],"in":[75],"terms":[76],"continuity":[79],"module":[80],"sufficient":[82],"conditions":[83],"parameter":[86],"providing":[87],"uniform":[88,98,121],"convergence":[89],"established.":[91],"A":[92],"estimates":[93],"pointwise":[96],"asymptotic":[114],"expressions":[115],"under":[116],"n\u2192\u221e":[117],"majorant":[119],"approximations,":[122],"optimal":[125],"value":[126],"parameter,":[129],"which":[130],"provides":[131],"highest":[133],"rate":[134],"studied":[139],"sums":[142],"use":[145],"found.":[151]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2020,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2020-01-10T00:00:00"}