{"id":"https://openalex.org/W4408529608","doi":"https://doi.org/10.3390/axioms14030220","title":"Calculation of Coefficients of the Optimal Quadrature Formulas in W2(7,0) Space","display_name":"Calculation of Coefficients of the Optimal Quadrature Formulas in W2(7,0) Space","publication_year":2025,"publication_date":"2025-03-17","ids":{"openalex":"https://openalex.org/W4408529608","doi":"https://doi.org/10.3390/axioms14030220"},"language":"en","primary_location":{"id":"doi:10.3390/axioms14030220","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14030220","pdf_url":"https://www.mdpi.com/2075-1680/14/3/220/pdf?version=1742205367","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/14/3/220/pdf?version=1742205367","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5091536567","display_name":"Ying Yang","orcid":"https://orcid.org/0000-0001-9722-3232"},"institutions":[{"id":"https://openalex.org/I1456306","display_name":"North China University of Technology","ror":"https://ror.org/01nky7652","country_code":"CN","type":"education","lineage":["https://openalex.org/I1456306"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ying Yang","raw_affiliation_strings":["College of Science, North China University of Techology, Beijing 100144, China"],"affiliations":[{"raw_affiliation_string":"College of Science, North China University of Techology, Beijing 100144, China","institution_ids":["https://openalex.org/I1456306"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083258189","display_name":"Xuehua Li","orcid":"https://orcid.org/0000-0002-7788-8656"},"institutions":[{"id":"https://openalex.org/I1456306","display_name":"North China University of Technology","ror":"https://ror.org/01nky7652","country_code":"CN","type":"education","lineage":["https://openalex.org/I1456306"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xuehua Li","raw_affiliation_strings":["College of Science, North China University of Techology, Beijing 100144, China"],"affiliations":[{"raw_affiliation_string":"College of Science, North China University of Techology, Beijing 100144, China","institution_ids":["https://openalex.org/I1456306"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5083258189"],"corresponding_institution_ids":["https://openalex.org/I1456306"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.07134835,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"14","issue":"3","first_page":"220","last_page":"220"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.980400025844574,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.980400025844574,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12037","display_name":"Algebraic and Geometric Analysis","score":0.9677000045776367,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9635999798774719,"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/quadrature","display_name":"Quadrature (astronomy)","score":0.7501450777053833},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.49387532472610474},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4366971254348755},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33712852001190186},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2951235771179199},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2212267816066742},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.0601310133934021}],"concepts":[{"id":"https://openalex.org/C62869609","wikidata":"https://www.wikidata.org/wiki/Q28137","display_name":"Quadrature (astronomy)","level":2,"score":0.7501450777053833},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.49387532472610474},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4366971254348755},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33712852001190186},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2951235771179199},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2212267816066742},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0601310133934021},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms14030220","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14030220","pdf_url":"https://www.mdpi.com/2075-1680/14/3/220/pdf?version=1742205367","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:c0e82a3178c848a88dfc63bbb2327763","is_oa":true,"landing_page_url":"https://doaj.org/article/c0e82a3178c848a88dfc63bbb2327763","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 14, Iss 3, p 220 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms14030220","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14030220","pdf_url":"https://www.mdpi.com/2075-1680/14/3/220/pdf?version=1742205367","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4408529608.pdf"},"referenced_works_count":6,"referenced_works":["https://openalex.org/W2059844411","https://openalex.org/W2566222576","https://openalex.org/W3184695750","https://openalex.org/W3186311387","https://openalex.org/W4289130718","https://openalex.org/W6731306784"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2962838298","https://openalex.org/W2600246793"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"construct":[4],"an":[5],"optimal":[6,28],"quadrature":[7],"formula":[8,31],"in":[9,17],"the":[10,18,26],"sense":[11],"of":[12],"Sard":[13],"by":[14],"Sobolev\u2019s":[15],"method":[16],"W2(7,0)":[19],"space.":[20],"We":[21],"give":[22],"explicit":[23],"expressions":[24],"for":[25,34],"corresponding":[27],"coefficients.":[29],"This":[30],"is":[32],"exact":[33],"exponentional\u2013trigonometric":[35],"functions.":[36]},"counts_by_year":[],"updated_date":"2026-02-27T16:54:17.756197","created_date":"2025-10-10T00:00:00"}