{"id":"https://openalex.org/W84944720","doi":"https://doi.org/10.1007/bf01062034","title":"On approximation of convolution classes","display_name":"On approximation of convolution classes","publication_year":1993,"publication_date":"1993-01-01","ids":{"openalex":"https://openalex.org/W84944720","doi":"https://doi.org/10.1007/bf01062034","mag":"84944720"},"language":"en","primary_location":{"id":"doi:10.1007/bf01062034","doi":"https://doi.org/10.1007/bf01062034","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01062034","pdf_url":null,"source":{"id":"https://openalex.org/S145196850","display_name":"Ukrainian Mathematical Journal","issn_l":"0041-5995","issn":["0041-5995","0041-6053","1573-9376"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["dongbi-d","jufo-1","norway-1","poland-40","russia-white-list-3"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Ukrainian Mathematical Journal","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"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/A5017360914","display_name":"D. M. Bushev","orcid":"https://orcid.org/0009-0002-6199-2077","observed_orcids":["https://orcid.org/0009-0002-6199-2077"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"D. N. Bushev","raw_affiliation_strings":["Lutsk Pedagogical Institute, Lutsk"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lutsk Pedagogical Institute, Lutsk","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054176956","display_name":"I. R. Koval'chuk","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"I. R. Koval'chuk","raw_affiliation_strings":["Lutsk Pedagogical Institute, Lutsk"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lutsk Pedagogical Institute, Lutsk","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3290,"currency":"USD","value_usd":3290},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.00710454,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"45","issue":"1","first_page":"26","last_page":"32"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12062","display_name":"Approximation Theory and Sequence Spaces","score":0.8047000169754028,"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":0.8047000169754028,"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/T11545","display_name":"Advanced Banach Space Theory","score":0.08980000019073486,"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/T11049","display_name":"Advanced Harmonic Analysis Research","score":0.04659999907016754,"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/best-approximation","display_name":"best approximation","score":0.7879999876022339},{"id":"https://openalex.org/keywords/asymptotic-equalities","display_name":"asymptotic equalities","score":0.8569999933242798},{"id":"https://openalex.org/keywords/lp-metric","display_name":"Lp metric","score":0.7979999780654907},{"id":"https://openalex.org/keywords/approximation-theory","display_name":"approximation theory","score":0.34200000762939453}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8318845629692078},{"id":"https://openalex.org/C45347329","wikidata":"https://www.wikidata.org/wiki/Q5166604","display_name":"Convolution (computer science)","level":3,"score":0.7479679584503174},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5539231300354004},{"id":"https://openalex.org/C86254553","wikidata":"https://www.wikidata.org/wiki/Q5166605","display_name":"Convolution power","level":5,"score":0.4901176393032074},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.43723559379577637},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.384665846824646},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36632847785949707},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23319831490516663},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11129552125930786},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10000306367874146},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.08829072117805481},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.04891115427017212},{"id":"https://openalex.org/C76563020","wikidata":"https://www.wikidata.org/wiki/Q4817582","display_name":"Fractional Fourier transform","level":4,"score":0.0},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/bf01062034","doi":"https://doi.org/10.1007/bf01062034","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01062034","pdf_url":null,"source":{"id":"https://openalex.org/S145196850","display_name":"Ukrainian Mathematical Journal","issn_l":"0041-5995","issn":["0041-5995","0041-6053","1573-9376"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["dongbi-d","jufo-1","norway-1","poland-40","russia-white-list-3"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Ukrainian Mathematical Journal","raw_type":"journal-article"},{"id":"pmh:oai:ojs2.umj-ojs.imath.kiev.ua:article/5778","doi":null,"is_oa":false,"landing_page_url":"https://umj.imath.kiev.ua/index.php/umj/article/view/5778","pdf_url":null,"source":{"id":"https://openalex.org/S4210234218","display_name":"Ukrains\u2019kyi Matematychnyi Zhurnal","issn_l":"1027-3190","issn":["1027-3190"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["jufo-1"],"host_organization":"https://openalex.org/P4310322009","host_organization_name":"Institute of Mathematics of the National Academy of Sciences of Ukraine","host_organization_lineage":["https://openalex.org/P4310322009","https://openalex.org/P4310321802"],"host_organization_lineage_names":["Institute of Mathematics of the National Academy of Sciences of Ukraine","National Academy of Sciences of Ukraine"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"1027-3190","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:dspace.nbuv.gov.ua:123456789/172431","doi":null,"is_oa":false,"landing_page_url":"http://dspace.nbuv.gov.ua/handle/123456789/172431","pdf_url":null,"source":{"id":"https://openalex.org/S4306401959","display_name":"The scientific electronic library of periodicals of the National Academy of Sciences of Ukraine (National Academy of Sciences of Ukraine)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I149851306","host_organization_name":"National Academy of Sciences of Ukraine","host_organization_lineage":["https://openalex.org/I149851306"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W14515589","https://openalex.org/W174896431","https://openalex.org/W571108711","https://openalex.org/W1521388935","https://openalex.org/W2007758405"],"related_works":["https://openalex.org/W7220525406","https://openalex.org/W3047467771","https://openalex.org/W2074293683","https://openalex.org/W2078218603","https://openalex.org/W1461017534","https://openalex.org/W2607667389","https://openalex.org/W2068842139","https://openalex.org/W2076662406","https://openalex.org/W2060883467","https://openalex.org/W7220637816"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}
