{"id":"https://openalex.org/W1996631666","doi":"https://doi.org/10.1016/j.jat.2008.10.006","title":"On Bernstein\u2013Markov-type inequalities for multivariate polynomials in <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" display=\"inline\" overflow=\"scroll\"><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>q</mml:mi></mml:mrow></mml:msub></mml:math>-norm","display_name":"On Bernstein\u2013Markov-type inequalities for multivariate polynomials in <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" display=\"inline\" overflow=\"scroll\"><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>q</mml:mi></mml:mrow></mml:msub></mml:math>-norm","publication_year":2008,"publication_date":"2008-11-18","ids":{"openalex":"https://openalex.org/W1996631666","doi":"https://doi.org/10.1016/j.jat.2008.10.006","mag":"1996631666"},"language":"lv","primary_location":{"id":"doi:10.1016/j.jat.2008.10.006","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.jat.2008.10.006","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/A5063154495","display_name":"Andr\u00e1s Kro\u00f3","orcid":"https://orcid.org/0000-0002-7503-5924"},"institutions":[{"id":"https://openalex.org/I127817813","display_name":"Alfr\u00e9d R\u00e9nyi Institute of Mathematics","ror":"https://ror.org/03vw74f64","country_code":"HU","type":"facility","lineage":["https://openalex.org/I127817813","https://openalex.org/I7597260"]},{"id":"https://openalex.org/I29770179","display_name":"Budapest University of Technology and Economics","ror":"https://ror.org/02w42ss30","country_code":"HU","type":"education","lineage":["https://openalex.org/I29770179"]},{"id":"https://openalex.org/I7597260","display_name":"Hungarian Academy of Sciences","ror":"https://ror.org/02ks8qq67","country_code":"HU","type":"government","lineage":["https://openalex.org/I7597260"]}],"countries":["HU"],"is_corresponding":true,"raw_author_name":"Andr\u00e1s Kro\u00f3","raw_affiliation_strings":["Alfred R\u00e9nyi Institute of Mathematics, Hungarian Academy of Sciences, Budapest, Hungary","Budapest University of Technology and Economics, Department of Analysis, Budapest, Hungary"],"affiliations":[{"raw_affiliation_string":"Alfred R\u00e9nyi Institute of Mathematics, Hungarian Academy of Sciences, Budapest, Hungary","institution_ids":["https://openalex.org/I127817813","https://openalex.org/I7597260"]},{"raw_affiliation_string":"Budapest University of Technology and Economics, Department of Analysis, Budapest, Hungary","institution_ids":["https://openalex.org/I29770179"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5063154495"],"corresponding_institution_ids":["https://openalex.org/I127817813","https://openalex.org/I29770179","https://openalex.org/I7597260"],"apc_list":{"value":2720,"currency":"USD","value_usd":2720},"apc_paid":null,"fwci":0.4357,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.58910855,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"159","issue":"1","first_page":"85","last_page":"96"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.9993000030517578,"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":0.9993000030517578,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9976000189781189,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9958000183105469,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8308748006820679},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.6035727262496948},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5211232304573059},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5152173638343811},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.46196550130844116},{"id":"https://openalex.org/keywords/bernstein-inequalities","display_name":"Bernstein inequalities","score":0.451910138130188},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3473356068134308},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.34691762924194336},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.32536250352859497},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.23994365334510803},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.13241437077522278}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8308748006820679},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.6035727262496948},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5211232304573059},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5152173638343811},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46196550130844116},{"id":"https://openalex.org/C147708781","wikidata":"https://www.wikidata.org/wiki/Q826791","display_name":"Bernstein inequalities","level":3,"score":0.451910138130188},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3473356068134308},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.34691762924194336},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.32536250352859497},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23994365334510803},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.13241437077522278},{"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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.jat.2008.10.006","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.jat.2008.10.006","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":[{"score":0.550000011920929,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320309549","display_name":"University of Houston","ror":"https://ror.org/040vwpm13"},{"id":"https://openalex.org/F4320321994","display_name":"Hungarian Scientific Research Fund","ror":"https://ror.org/00v349e63"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W187211397","https://openalex.org/W1512638263","https://openalex.org/W1524383063","https://openalex.org/W1571014766","https://openalex.org/W1965099828","https://openalex.org/W1966484557","https://openalex.org/W2006154213","https://openalex.org/W2031162077","https://openalex.org/W2032469829","https://openalex.org/W2066902620","https://openalex.org/W2144444229","https://openalex.org/W2288682671","https://openalex.org/W4205354563","https://openalex.org/W4246894044","https://openalex.org/W6607770795","https://openalex.org/W6634076068","https://openalex.org/W6658078700"],"related_works":["https://openalex.org/W1660242800","https://openalex.org/W2077211377","https://openalex.org/W3152686072","https://openalex.org/W1006270037","https://openalex.org/W3129238073","https://openalex.org/W2056274461","https://openalex.org/W162527578","https://openalex.org/W2517044585","https://openalex.org/W1987613448","https://openalex.org/W3214049357"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}
