{"id":"https://openalex.org/W2184036588","doi":null,"title":"Integral presentations of deviations of de la Vallee Poussin right-angled sums","display_name":"Integral presentations of deviations of de la Vallee Poussin right-angled sums","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W2184036588","mag":"2184036588"},"language":"en","primary_location":{"id":"pmh:oai:oai.dml.cz:10338.dmlcz/137505","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/10338.dmlcz/137505","pdf_url":"http://dml.cz/bitstream/handle/10338.dmlcz/137505/ActaOlom_48-2009-1_11.pdf","source":{"id":"https://openalex.org/S4406922294","display_name":"Czech digital mathematics library","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"type:math"},"volume":null,"type":"other","is_traditional":false,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://dml.cz/bitstream/handle/10338.dmlcz/137505/ActaOlom_48-2009-1_11.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5029414991","display_name":"V. I. Rukasov","orcid":"https://orcid.org/0009-0000-6386-0575","observed_orcids":["https://orcid.org/0009-0000-6386-0575"]},"institutions":[{"id":"https://openalex.org/I70703428","display_name":"Palack\u00fd University Olomouc","ror":"https://ror.org/04qxnmv42","country_code":"CZ","type":"education","lineage":["https://openalex.org/I70703428"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Rukasov, Vladimir I.","raw_affiliation_strings":["Department of Mathematical Analysis , Slavyansk State Pedagogical University , Batyuka 19 , Slavyansk , Ukraine","\u00a9 Palack\u00fd University Olomouc , Faculty of Science , 2009"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Analysis , Slavyansk State Pedagogical University , Batyuka 19 , Slavyansk , Ukraine","institution_ids":[]},{"raw_affiliation_string":"\u00a9 Palack\u00fd University Olomouc , Faculty of Science , 2009","institution_ids":["https://openalex.org/I70703428"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079744650","display_name":"\u041e. \u0413. \u0420\u043e\u0432\u0435\u043d\u0441\u044c\u043a\u0430","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Rovenska, Olga G.","raw_affiliation_strings":["Department of Mathematical Analysis , Slavyansk State Pedagogical University , Batyuka 19 , Slavyansk , Ukraine"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Analysis , Slavyansk State Pedagogical University , Batyuka 19 , Slavyansk , Ukraine","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12062","display_name":"Approximation Theory and Sequence Spaces","score":0.8062000274658203,"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":0.8062000274658203,"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":0.1738000065088272,"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"}},{"id":"https://openalex.org/T11049","display_name":"Advanced Harmonic Analysis Research","score":0.0032999999821186066,"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/integral-representation","display_name":"integral representation","score":0.5230000019073486},{"id":"https://openalex.org/keywords/approximation-of-periodic-functions","display_name":"approximation of periodic functions","score":0.6819999814033508},{"id":"https://openalex.org/keywords/functions-of-several-variables","display_name":"functions of several variables","score":0.8769999742507935},{"id":"https://openalex.org/keywords/smoothness-classes","display_name":"smoothness classes","score":0.6779999732971191},{"id":"https://openalex.org/keywords/trigonometric-approximation","display_name":"trigonometric approximation","score":0.6039999723434448}],"concepts":[{"id":"https://openalex.org/C102634674","wikidata":"https://www.wikidata.org/wiki/Q868473","display_name":"Smoothness","level":2,"score":0.7598220109939575},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7561221122741699},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.39549049735069275},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.32720208168029785}],"mesh":[],"locations_count":1,"locations":[{"id":"pmh:oai:oai.dml.cz:10338.dmlcz/137505","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/10338.dmlcz/137505","pdf_url":"http://dml.cz/bitstream/handle/10338.dmlcz/137505/ActaOlom_48-2009-1_11.pdf","source":{"id":"https://openalex.org/S4406922294","display_name":"Czech digital mathematics library","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"type:math"}],"best_oa_location":{"id":"pmh:oai:oai.dml.cz:10338.dmlcz/137505","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/10338.dmlcz/137505","pdf_url":"http://dml.cz/bitstream/handle/10338.dmlcz/137505/ActaOlom_48-2009-1_11.pdf","source":{"id":"https://openalex.org/S4406922294","display_name":"Czech digital mathematics library","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"type:math"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2184036588.pdf","grobid_xml":"https://content.openalex.org/works/W2184036588.grobid-xml"},"referenced_works_count":4,"referenced_works":["https://openalex.org/W150035578","https://openalex.org/W2000021344","https://openalex.org/W2038261566","https://openalex.org/W2489626460"],"related_works":["https://openalex.org/W111634918","https://openalex.org/W2030913265","https://openalex.org/W2133537550","https://openalex.org/W7220554660","https://openalex.org/W4288686304","https://openalex.org/W2912109687","https://openalex.org/W1614532923","https://openalex.org/W2060511778","https://openalex.org/W7008035914","https://openalex.org/W150035578"],"abstract_inverted_index":{"summary:We":[0],"investigate":[1],"approximation":[2],"properties":[3],"of":[4,14,17,28,30],"de":[5,31],"la":[6,32],"Vallee":[7,33],"Poussin":[8,34],"right-angled":[9],"sums":[10,35],"on":[11,36],"the":[12,37],"classes":[13,38],"periodic":[15],"functions":[16],"several":[18],"variables":[19],"with":[20],"a":[21],"high":[22],"smoothness.":[23],"We":[24],"obtain":[25],"integral":[26],"presentations":[27],"deviations":[29],"$C_{\\beta":[39],",\\infty":[40],"}^{m\\alpha":[41],"}$.":[42]},"counts_by_year":[{"year":2016,"cited_by_count":1}],"updated_date":"2026-08-30T07:30:35.949966","created_date":"2025-10-10T00:00:00"}