{"id":"https://openalex.org/W2755768267","doi":"https://doi.org/10.1142/s0219691314610049","title":"On the widths of Sobolev's classes","display_name":"On the widths of Sobolev's classes","publication_year":2014,"publication_date":"2014-03-11","ids":{"openalex":"https://openalex.org/W2755768267","doi":"https://doi.org/10.1142/s0219691314610049","mag":"2755768267"},"language":"en","primary_location":{"id":"doi:10.1142/s0219691314610049","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691314610049","pdf_url":null,"source":{"id":"https://openalex.org/S56986848","display_name":"International Journal of Wavelets Multiresolution and Information Processing","issn_l":"0219-6913","issn":["0219-6913","1793-690X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Wavelets, Multiresolution and Information Processing","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/A5101919210","display_name":"Hongwei Huang","orcid":"https://orcid.org/0000-0002-8051-2799"},"institutions":[{"id":"https://openalex.org/I191208505","display_name":"Xiamen University","ror":"https://ror.org/00mcjh785","country_code":"CN","type":"education","lineage":["https://openalex.org/I191208505"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hongwei Huang","raw_affiliation_strings":["School of Mathematical Sciences, Xiamen University, Xiamen, Fujian 361005, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Xiamen University, Xiamen, Fujian 361005, P. R. China","institution_ids":["https://openalex.org/I191208505"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101842921","display_name":"Kunyang Wang","orcid":"https://orcid.org/0000-0001-8528-1574"},"institutions":[{"id":"https://openalex.org/I25254941","display_name":"Beijing Normal University","ror":"https://ror.org/022k4wk35","country_code":"CN","type":"education","lineage":["https://openalex.org/I25254941"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kunyang Wang","raw_affiliation_strings":["School of Mathematical Sciences, Beijing Normal University, Beijing 100875, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Beijing Normal University, Beijing 100875, P. R. China","institution_ids":["https://openalex.org/I25254941"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.35776573,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"12","issue":"05","first_page":"1461004","last_page":"1461004"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12404","display_name":"Mathematical Approximation and Integration","score":0.9984999895095825,"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"}},"topics":[{"id":"https://openalex.org/T12404","display_name":"Mathematical Approximation and Integration","score":0.9984999895095825,"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":0.9962999820709229,"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/T11822","display_name":"Analytic and geometric function theory","score":0.9761999845504761,"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/unit-sphere","display_name":"Unit sphere","score":0.9365450143814087},{"id":"https://openalex.org/keywords/sobolev-space","display_name":"Sobolev space","score":0.8448508977890015},{"id":"https://openalex.org/keywords/simplex","display_name":"Simplex","score":0.782081127166748},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6828598380088806},{"id":"https://openalex.org/keywords/unit","display_name":"Unit (ring theory)","score":0.5760186910629272},{"id":"https://openalex.org/keywords/ball","display_name":"Ball (mathematics)","score":0.5307053923606873},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5127593278884888},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.39206039905548096},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3461272120475769}],"concepts":[{"id":"https://openalex.org/C191948623","wikidata":"https://www.wikidata.org/wiki/Q1307800","display_name":"Unit sphere","level":2,"score":0.9365450143814087},{"id":"https://openalex.org/C99730327","wikidata":"https://www.wikidata.org/wiki/Q1501536","display_name":"Sobolev space","level":2,"score":0.8448508977890015},{"id":"https://openalex.org/C62438384","wikidata":"https://www.wikidata.org/wiki/Q331350","display_name":"Simplex","level":2,"score":0.782081127166748},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6828598380088806},{"id":"https://openalex.org/C122637931","wikidata":"https://www.wikidata.org/wiki/Q118084","display_name":"Unit (ring theory)","level":2,"score":0.5760186910629272},{"id":"https://openalex.org/C122041747","wikidata":"https://www.wikidata.org/wiki/Q838611","display_name":"Ball (mathematics)","level":2,"score":0.5307053923606873},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5127593278884888},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.39206039905548096},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3461272120475769},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0219691314610049","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691314610049","pdf_url":null,"source":{"id":"https://openalex.org/S56986848","display_name":"International Journal of Wavelets Multiresolution and Information Processing","issn_l":"0219-6913","issn":["0219-6913","1793-690X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Wavelets, Multiresolution and Information Processing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1980350398","https://openalex.org/W1985113942","https://openalex.org/W1995973437","https://openalex.org/W1999681333","https://openalex.org/W2002303615","https://openalex.org/W2034396275","https://openalex.org/W2037295557","https://openalex.org/W2060102186","https://openalex.org/W2081462990","https://openalex.org/W2114655171","https://openalex.org/W2119232753","https://openalex.org/W2210428752","https://openalex.org/W4230199773","https://openalex.org/W4299521717"],"related_works":["https://openalex.org/W2049398787","https://openalex.org/W2387072865","https://openalex.org/W2804455714","https://openalex.org/W3164188315","https://openalex.org/W1982675504","https://openalex.org/W2048403683","https://openalex.org/W2902113049","https://openalex.org/W3046438935","https://openalex.org/W2989846825","https://openalex.org/W3003730143"],"abstract_inverted_index":{"Optimal":[0],"estimates":[1],"of":[2,10],"Kolmogorov's":[3],"n-widths,":[4],"linear":[5],"n-widths":[6,9],"and":[7,32],"Gelfand's":[8],"the":[11,16,28,34],"weighted":[12],"Sobolev":[13],"classes":[14],"on":[15,27,33],"unit":[17,29],"sphere":[18],"\ud835\udd4ad":[19],"are":[20,24],"established.":[21],"Similar":[22],"results":[23],"also":[25],"established":[26],"ball":[30],"Bd":[31],"simplex":[35],"Td.":[36]},"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}
