{"id":"https://openalex.org/W2089976488","doi":"https://doi.org/10.1016/j.jat.2014.02.006","title":"The Bernstein inequality and the Schur inequality are equivalent","display_name":"The Bernstein inequality and the Schur inequality are equivalent","publication_year":2014,"publication_date":"2014-03-26","ids":{"openalex":"https://openalex.org/W2089976488","doi":"https://doi.org/10.1016/j.jat.2014.02.006","mag":"2089976488"},"language":"en","primary_location":{"id":"doi:10.1016/j.jat.2014.02.006","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.jat.2014.02.006","pdf_url":null,"source":{"id":"https://openalex.org/S35093870","display_name":"Journal of Approximation Theory","issn_l":"0021-9045","issn":["0021-9045","1096-0430"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Approximation Theory","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/A5091422391","display_name":"Paul Nevai","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Paul Nevai","raw_affiliation_strings":["KAU, Jeddah, Saudi Arabia, and Upper Arlington (Columbus), Ohio, USA,"],"affiliations":[{"raw_affiliation_string":"KAU, Jeddah, Saudi Arabia, and Upper Arlington (Columbus), Ohio, USA,","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5091422391"],"corresponding_institution_ids":[],"apc_list":{"value":2720,"currency":"USD","value_usd":2720},"apc_paid":null,"fwci":1.8686,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.84281989,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"182","issue":null,"first_page":"103","last_page":"109"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11564","display_name":"Mathematical Inequalities and Applications","score":0.9442999958992004,"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/T11564","display_name":"Mathematical Inequalities and Applications","score":0.9442999958992004,"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/mathematics","display_name":"Mathematics","score":0.9083137512207031},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.7158703804016113},{"id":"https://openalex.org/keywords/bernstein-inequalities","display_name":"Bernstein inequalities","score":0.6798050999641418},{"id":"https://openalex.org/keywords/rearrangement-inequality","display_name":"Rearrangement inequality","score":0.5384803414344788},{"id":"https://openalex.org/keywords/log-sum-inequality","display_name":"Log sum inequality","score":0.46421507000923157},{"id":"https://openalex.org/keywords/bernstein-polynomial","display_name":"Bernstein polynomial","score":0.4591696858406067},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4165574312210083},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3261295557022095}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9083137512207031},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.7158703804016113},{"id":"https://openalex.org/C147708781","wikidata":"https://www.wikidata.org/wiki/Q826791","display_name":"Bernstein inequalities","level":3,"score":0.6798050999641418},{"id":"https://openalex.org/C126087398","wikidata":"https://www.wikidata.org/wiki/Q1149189","display_name":"Rearrangement inequality","level":4,"score":0.5384803414344788},{"id":"https://openalex.org/C46979015","wikidata":"https://www.wikidata.org/wiki/Q6666859","display_name":"Log sum inequality","level":3,"score":0.46421507000923157},{"id":"https://openalex.org/C34179328","wikidata":"https://www.wikidata.org/wiki/Q826841","display_name":"Bernstein polynomial","level":2,"score":0.4591696858406067},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4165574312210083},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3261295557022095}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.jat.2014.02.006","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.jat.2014.02.006","pdf_url":null,"source":{"id":"https://openalex.org/S35093870","display_name":"Journal of Approximation Theory","issn_l":"0021-9045","issn":["0021-9045","1096-0430"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Approximation Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.4399999976158142,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W630659003","https://openalex.org/W1571014766","https://openalex.org/W2078960817","https://openalex.org/W2080855151","https://openalex.org/W2086448991","https://openalex.org/W2487673417","https://openalex.org/W2503459939","https://openalex.org/W3108203422","https://openalex.org/W6672141443","https://openalex.org/W6722819417","https://openalex.org/W6724895362"],"related_works":["https://openalex.org/W4225639112","https://openalex.org/W3023180709","https://openalex.org/W2056647452","https://openalex.org/W2352699560","https://openalex.org/W2224276395","https://openalex.org/W3200899799","https://openalex.org/W4376632596","https://openalex.org/W4300946817","https://openalex.org/W2089976488","https://openalex.org/W380307026"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}
