{"id":"https://openalex.org/W2233561500","doi":"https://doi.org/10.1142/s0219691316500053","title":"On Jackson-type inequalities associated with separable Haar wavelets","display_name":"On Jackson-type inequalities associated with separable Haar wavelets","publication_year":2016,"publication_date":"2016-01-14","ids":{"openalex":"https://openalex.org/W2233561500","doi":"https://doi.org/10.1142/s0219691316500053","mag":"2233561500"},"language":"en","primary_location":{"id":"doi:10.1142/s0219691316500053","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691316500053","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/A5044147588","display_name":"P. A. Andrianov","orcid":"https://orcid.org/0000-0002-1497-6392"},"institutions":[{"id":"https://openalex.org/I172901346","display_name":"St Petersburg University","ror":"https://ror.org/023znxa73","country_code":"RU","type":"education","lineage":["https://openalex.org/I172901346"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"P. Andrianov","raw_affiliation_strings":["St. Petersburg State University, 7/9 Universitetskaya nab., St. Petersburg 199034, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"St. Petersburg State University, 7/9 Universitetskaya nab., St. Petersburg 199034, Russia","institution_ids":["https://openalex.org/I172901346"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048651546","display_name":"M. Skopina","orcid":"https://orcid.org/0000-0002-6683-3828"},"institutions":[{"id":"https://openalex.org/I172901346","display_name":"St Petersburg University","ror":"https://ror.org/023znxa73","country_code":"RU","type":"education","lineage":["https://openalex.org/I172901346"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"M. Skopina","raw_affiliation_strings":["St. Petersburg State University, 7/9 Universitetskaya nab., St. Petersburg 199034, Russia"],"raw_orcid":"https://orcid.org/0000-0002-6683-3828","affiliations":[{"raw_affiliation_string":"St. Petersburg State University, 7/9 Universitetskaya nab., St. Petersburg 199034, Russia","institution_ids":["https://openalex.org/I172901346"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I172901346"],"apc_list":null,"apc_paid":null,"fwci":0.9006,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.71039604,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"14","issue":"03","first_page":"1650005","last_page":"1650005"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12404","display_name":"Mathematical Approximation and Integration","score":0.9986000061035156,"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":0.9986000061035156,"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/T12062","display_name":"Approximation Theory and Sequence Spaces","score":0.9939000010490417,"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/T11191","display_name":"Mathematical functions and polynomials","score":0.9916999936103821,"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/haar","display_name":"Haar","score":0.8197003602981567},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.6937481164932251},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.692048192024231},{"id":"https://openalex.org/keywords/separable-space","display_name":"Separable space","score":0.5872572064399719},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.5309471487998962},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5275663137435913},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.523951530456543},{"id":"https://openalex.org/keywords/haar-wavelet","display_name":"Haar wavelet","score":0.516985297203064},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.4357050061225891},{"id":"https://openalex.org/keywords/phenomenon","display_name":"Phenomenon","score":0.4239044189453125},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.34100961685180664},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.32734403014183044},{"id":"https://openalex.org/keywords/wavelet-transform","display_name":"Wavelet transform","score":0.1642637550830841},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15749791264533997},{"id":"https://openalex.org/keywords/discrete-wavelet-transform","display_name":"Discrete wavelet transform","score":0.13216891884803772},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.13017156720161438},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.08352550864219666},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.06822490692138672},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.05520319938659668}],"concepts":[{"id":"https://openalex.org/C187029792","wikidata":"https://www.wikidata.org/wiki/Q2179112","display_name":"Haar","level":3,"score":0.8197003602981567},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.6937481164932251},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.692048192024231},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.5872572064399719},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.5309471487998962},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5275663137435913},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.523951530456543},{"id":"https://openalex.org/C2780423554","wikidata":"https://www.wikidata.org/wiki/Q766198","display_name":"Haar wavelet","level":5,"score":0.516985297203064},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.4357050061225891},{"id":"https://openalex.org/C50335755","wikidata":"https://www.wikidata.org/wiki/Q483247","display_name":"Phenomenon","level":2,"score":0.4239044189453125},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.34100961685180664},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.32734403014183044},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.1642637550830841},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15749791264533997},{"id":"https://openalex.org/C46286280","wikidata":"https://www.wikidata.org/wiki/Q2414958","display_name":"Discrete wavelet transform","level":4,"score":0.13216891884803772},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.13017156720161438},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.08352550864219666},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.06822490692138672},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.05520319938659668},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0219691316500053","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219691316500053","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":[{"score":0.6499999761581421,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[{"id":"https://openalex.org/G5676276954","display_name":null,"funder_award_id":"9.38.198.2015","funder_id":"https://openalex.org/F4320322515","funder_display_name":"Saint Petersburg State University"},{"id":"https://openalex.org/G8722491095","display_name":null,"funder_award_id":"15-01-05796","funder_id":"https://openalex.org/F4320321079","funder_display_name":"Russian Foundation for Basic Research"}],"funders":[{"id":"https://openalex.org/F4320320882","display_name":"Volkswagen Foundation","ror":"https://ror.org/03bsmfz84"},{"id":"https://openalex.org/F4320321079","display_name":"Russian Foundation for Basic Research","ror":"https://ror.org/02mh1ke95"},{"id":"https://openalex.org/F4320322515","display_name":"Saint Petersburg State University","ror":"https://ror.org/023znxa73"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W1980399834","https://openalex.org/W1986830331","https://openalex.org/W2018024502","https://openalex.org/W2588465814"],"related_works":["https://openalex.org/W2766849256","https://openalex.org/W984746159","https://openalex.org/W4361795924","https://openalex.org/W1999916501","https://openalex.org/W4232769230","https://openalex.org/W2005569824","https://openalex.org/W111100742","https://openalex.org/W4239324723","https://openalex.org/W2043338154","https://openalex.org/W1982665099"],"abstract_inverted_index":{"Uniform":[0],"approximation":[1],"of":[2,23],"multivariate":[3],"periodic":[4],"functions":[5],"by":[6],"Haar":[7],"polynomials":[8],"is":[9,43],"studied.":[10],"A":[11],"general":[12],"sharp":[13,41],"Jackson":[14],"type":[15],"inequality":[16],"and":[17],"its":[18],"refinement":[19],"for":[20,34],"certain":[21],"types":[22],"numbers":[24,36],"[Formula:":[25,37],"see":[26,38],"text]":[27],"are":[28],"discussed.":[29],"An":[30],"interesting":[31],"phenomenon":[32],"appears":[33],"some":[35],"text]:":[39],"a":[40],"estimate":[42],"not":[44],"unique.":[45]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2016,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}