{"id":"https://openalex.org/W317144991","doi":"https://doi.org/10.1023/a:1019132924372","title":"Improvement of the formal and numerical estimation of the constant in some Markov-Bernstein inequalities","display_name":"Improvement of the formal and numerical estimation of the constant in some Markov-Bernstein inequalities","publication_year":2000,"publication_date":"2000-08-01","ids":{"openalex":"https://openalex.org/W317144991","doi":"https://doi.org/10.1023/a:1019132924372","mag":"317144991"},"language":"en","primary_location":{"id":"doi:10.1023/a:1019132924372","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1019132924372","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"Numerical Algorithms","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/A5069853899","display_name":"Andr\u00e9 Draux","orcid":null},"institutions":[{"id":"https://openalex.org/I4210155549","display_name":"Laboratoire de Math\u00e9matiques Blaise Pascal","ror":"https://ror.org/05sd5r855","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I198244214","https://openalex.org/I4210141950","https://openalex.org/I4210155549"]},{"id":"https://openalex.org/I4392021175","display_name":"Laboratoire de Math\u00e9matiques de l'INSA de Rouen","ror":"https://ror.org/009rwsd77","country_code":"FR","type":"facility","lineage":["https://openalex.org/I4210105918","https://openalex.org/I4392021175","https://openalex.org/I88814501"]},{"id":"https://openalex.org/I62396329","display_name":"Universit\u00e9 de Rouen Normandie","ror":"https://ror.org/03nhjew95","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918","https://openalex.org/I62396329"]},{"id":"https://openalex.org/I88814501","display_name":"Institut National des Sciences Appliqu\u00e9es Rouen Normandie","ror":"https://ror.org/020ws7586","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918","https://openalex.org/I88814501"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Andr\u00e9 Draux","raw_affiliation_strings":["LMI - Laboratoire de Math\u00e9matiques de l'INSA de Rouen Normandie (685 Avenue de l'Universit\u00e9, BP 8, 76801 Saint-\u00c9tienne-du-Rouvray Cedex - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LMI - Laboratoire de Math\u00e9matiques de l'INSA de Rouen Normandie (685 Avenue de l'Universit\u00e9, BP 8, 76801 Saint-\u00c9tienne-du-Rouvray Cedex - France)","institution_ids":["https://openalex.org/I4210155549","https://openalex.org/I4392021175","https://openalex.org/I62396329","https://openalex.org/I88814501"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5069853899"],"corresponding_institution_ids":["https://openalex.org/I4210155549","https://openalex.org/I4392021175","https://openalex.org/I62396329","https://openalex.org/I88814501"],"apc_list":{"value":3290,"currency":"USD","value_usd":3290},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.03192953,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"24","issue":"1-2","first_page":"31","last_page":"58"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.9976999759674072,"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/T11191","display_name":"Mathematical functions and polynomials","score":0.9976999759674072,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9889000058174133,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.988099992275238,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.9110726714134216},{"id":"https://openalex.org/keywords/laguerre-polynomials","display_name":"Laguerre polynomials","score":0.6908241510391235},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.6680904626846313},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6003153324127197},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.4760003983974457},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.47057268023490906},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.46345019340515137},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.4623592495918274},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.44428738951683044},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44099581241607666},{"id":"https://openalex.org/keywords/bernstein-inequalities","display_name":"Bernstein inequalities","score":0.4364128112792969},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.421234667301178},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.38312166929244995},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3457179069519043},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3132712244987488},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.14307788014411926},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.08234885334968567},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06745770573616028}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9110726714134216},{"id":"https://openalex.org/C108408018","wikidata":"https://www.wikidata.org/wiki/Q1124546","display_name":"Laguerre polynomials","level":2,"score":0.6908241510391235},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.6680904626846313},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6003153324127197},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.4760003983974457},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.47057268023490906},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.46345019340515137},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.4623592495918274},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.44428738951683044},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44099581241607666},{"id":"https://openalex.org/C147708781","wikidata":"https://www.wikidata.org/wiki/Q826791","display_name":"Bernstein inequalities","level":3,"score":0.4364128112792969},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.421234667301178},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.38312166929244995},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3457179069519043},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3132712244987488},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.14307788014411926},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.08234885334968567},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06745770573616028},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1023/a:1019132924372","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1019132924372","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"Numerical Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-02133017v1","is_oa":false,"landing_page_url":"https://hal.science/hal-02133017","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Numerical Algorithms, 2000, 24 (1/2), pp.31-58. ⟨10.1023/A:1019132924372⟩","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W656765245","https://openalex.org/W1524383063","https://openalex.org/W1545091652","https://openalex.org/W1582211629","https://openalex.org/W2003265871","https://openalex.org/W2009394335","https://openalex.org/W2009888798","https://openalex.org/W2023413246","https://openalex.org/W2039946947","https://openalex.org/W2065085720","https://openalex.org/W2065334415","https://openalex.org/W2077191233","https://openalex.org/W2092479890","https://openalex.org/W2096208426","https://openalex.org/W3010782316","https://openalex.org/W4205730379"],"related_works":["https://openalex.org/W2038558186","https://openalex.org/W1515881615","https://openalex.org/W4300143776","https://openalex.org/W2953123469","https://openalex.org/W3150993733","https://openalex.org/W2544886596","https://openalex.org/W3146405243","https://openalex.org/W3036693224","https://openalex.org/W2765932547","https://openalex.org/W2471338065"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}