{"id":"https://openalex.org/W4409101524","doi":"https://doi.org/10.1016/j.cam.2025.116668","title":"Nonsymmetric product integration rules for Chebyshev weight functions with Chebyshev abscissae","display_name":"Nonsymmetric product integration rules for Chebyshev weight functions with Chebyshev abscissae","publication_year":2025,"publication_date":"2025-04-03","ids":{"openalex":"https://openalex.org/W4409101524","doi":"https://doi.org/10.1016/j.cam.2025.116668"},"language":"en","primary_location":{"id":"doi:10.1016/j.cam.2025.116668","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.cam.2025.116668","pdf_url":null,"source":{"id":"https://openalex.org/S165473669","display_name":"Journal of Computational and Applied Mathematics","issn_l":"0377-0427","issn":["0377-0427","1879-1778"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational and Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1016/j.cam.2025.116668","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5001377737","display_name":"Sotirios E. Notaris","orcid":"https://orcid.org/0000-0002-6542-5021"},"institutions":[{"id":"https://openalex.org/I200777214","display_name":"National and Kapodistrian University of Athens","ror":"https://ror.org/04gnjpq42","country_code":"GR","type":"education","lineage":["https://openalex.org/I200777214"]}],"countries":["GR"],"is_corresponding":true,"raw_author_name":"Sotirios E. Notaris","raw_affiliation_strings":["Department of Mathematics National and Kapodistrian University of Athens Panepistemiopolis, 15784 Athens, Greece"],"raw_orcid":"https://orcid.org/0000-0002-6542-5021","affiliations":[{"raw_affiliation_string":"Department of Mathematics National and Kapodistrian University of Athens Panepistemiopolis, 15784 Athens, Greece","institution_ids":["https://openalex.org/I200777214"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5116882361","display_name":"Nikolaos J. Theodorakopoulos","orcid":null},"institutions":[{"id":"https://openalex.org/I200777214","display_name":"National and Kapodistrian University of Athens","ror":"https://ror.org/04gnjpq42","country_code":"GR","type":"education","lineage":["https://openalex.org/I200777214"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Nikolaos J. Theodorakopoulos","raw_affiliation_strings":["Department of Mathematics National and Kapodistrian University of Athens Panepistemiopolis, 15784 Athens, Greece"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics National and Kapodistrian University of Athens Panepistemiopolis, 15784 Athens, Greece","institution_ids":["https://openalex.org/I200777214"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5001377737"],"corresponding_institution_ids":["https://openalex.org/I200777214"],"apc_list":{"value":3040,"currency":"USD","value_usd":3040},"apc_paid":{"value":3040,"currency":"USD","value_usd":3040},"fwci":3.3575,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.87227719,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":98},"biblio":{"volume":"469","issue":null,"first_page":"116668","last_page":"116668"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.983299970626831,"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":0.983299970626831,"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/chebyshev-filter","display_name":"Chebyshev filter","score":0.8917996883392334},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8905312418937683},{"id":"https://openalex.org/keywords/chebyshev-nodes","display_name":"Chebyshev nodes","score":0.5872275829315186},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.5697329640388489},{"id":"https://openalex.org/keywords/chebyshev-equation","display_name":"Chebyshev equation","score":0.5618255138397217},{"id":"https://openalex.org/keywords/chebyshev-polynomials","display_name":"Chebyshev polynomials","score":0.5223866105079651},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5144834518432617},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.407534658908844},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3446310758590698},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.32415643334388733},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1475035846233368},{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"Orthogonal polynomials","score":0.07873985171318054}],"concepts":[{"id":"https://openalex.org/C21424316","wikidata":"https://www.wikidata.org/wiki/Q718621","display_name":"Chebyshev filter","level":2,"score":0.8917996883392334},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8905312418937683},{"id":"https://openalex.org/C171326582","wikidata":"https://www.wikidata.org/wiki/Q1052508","display_name":"Chebyshev nodes","level":3,"score":0.5872275829315186},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.5697329640388489},{"id":"https://openalex.org/C142484921","wikidata":"https://www.wikidata.org/wiki/Q3890369","display_name":"Chebyshev equation","level":4,"score":0.5618255138397217},{"id":"https://openalex.org/C129785596","wikidata":"https://www.wikidata.org/wiki/Q619511","display_name":"Chebyshev polynomials","level":2,"score":0.5223866105079651},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5144834518432617},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.407534658908844},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3446310758590698},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32415643334388733},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1475035846233368},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.07873985171318054},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C21736991","wikidata":"https://www.wikidata.org/wiki/Q17006917","display_name":"Classical orthogonal polynomials","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.cam.2025.116668","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.cam.2025.116668","pdf_url":null,"source":{"id":"https://openalex.org/S165473669","display_name":"Journal of Computational and Applied Mathematics","issn_l":"0377-0427","issn":["0377-0427","1879-1778"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational and Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1016/j.cam.2025.116668","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.cam.2025.116668","pdf_url":null,"source":{"id":"https://openalex.org/S165473669","display_name":"Journal of Computational and Applied Mathematics","issn_l":"0377-0427","issn":["0377-0427","1879-1778"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational and Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W66741451","https://openalex.org/W1984453378","https://openalex.org/W1999981469","https://openalex.org/W2035057194","https://openalex.org/W2041102641","https://openalex.org/W2051875039","https://openalex.org/W2059556131","https://openalex.org/W2061939145","https://openalex.org/W2099953130","https://openalex.org/W2314359380","https://openalex.org/W2325789889","https://openalex.org/W2330381107","https://openalex.org/W4230941884","https://openalex.org/W4231866801","https://openalex.org/W4254246953","https://openalex.org/W4290828441","https://openalex.org/W7014303014"],"related_works":["https://openalex.org/W2112919228","https://openalex.org/W2021099221","https://openalex.org/W2136992695","https://openalex.org/W2179563627","https://openalex.org/W2054912819","https://openalex.org/W2043532630","https://openalex.org/W2034868998","https://openalex.org/W1866822838","https://openalex.org/W2509298154","https://openalex.org/W2106962382"],"abstract_inverted_index":{"We":[0],"study":[1],"four":[2],"product":[3],"integration":[4],"rules,":[5],"two":[6,26],"for":[7,27,88,107,121,144,168],"the":[8,12,16,20,28,32,37,41,61,69,72,97,100,142,145,149,153,157,162],"Chebyshev":[9,17,29,38,146,154],"weight":[10,30,147],"of":[11,19,31,40,64,71,99,132,148,156,166,173],"first-kind":[13],"based":[14,34,151],"on":[15,36,111,152],"abscissae":[18,39,155],"third":[21,42,158],"or":[22,43,79,129,159],"fourth-kind,":[23],"and":[24,66,81],"another":[25],"second-kind":[33,150],"again":[35],"fourth-kind.":[44],"The":[45],"new":[46],"rules":[47,143],"are":[48],"shown":[49,104],"to":[50],"have":[51,161],"positive":[52],"weights":[53],"given":[54],"by":[55,91],"explicit":[56],"formulae.":[57],"Furthermore,":[58],"we":[59,67,75,82],"determine":[60],"precise":[62],"degree":[63,165],"exactness":[65,167],"compute":[68],"variance":[70],"quadrature":[73,101],"formulae,":[74],"examine":[76],"their":[77],"definiteness":[78],"nondefiniteness,":[80],"obtain":[83],"asymptotically":[84],"optimal":[85],"error":[86],"bounds":[87],"these":[89],"formulae":[90,102],"Peano":[92],"kernel":[93],"methods.":[94],"In":[95],"addition,":[96],"convergence":[98],"is":[103],"not":[105,172],"only":[106],"Riemann":[108],"integrable":[109],"functions":[110,122],"[":[112,133],"\u2212":[113,134],"1":[114,116,135,137],",":[115,118,136],"]":[117,138],"but":[119],"also":[120],"having":[123],"a":[124],"monotonic":[125],"singularity":[126],"at":[127],"one":[128],"both":[130],"endpoints":[131],".":[139],"Interestingly":[140],"enough,":[141],"fourth-kind":[160],"best":[163],"possible":[164],"an":[169],"interpolatory":[170],"formula":[171],"Gauss":[174],"type.":[175]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-02-06T02:01:19.302388","created_date":"2025-10-10T00:00:00"}