{"id":"https://openalex.org/W2069460168","doi":"https://doi.org/10.1007/s10898-004-8267-y","title":"On Generalized Linearity of Quadratic Fractional Functions","display_name":"On Generalized Linearity of Quadratic Fractional Functions","publication_year":2004,"publication_date":"2004-11-01","ids":{"openalex":"https://openalex.org/W2069460168","doi":"https://doi.org/10.1007/s10898-004-8267-y","mag":"2069460168"},"language":"en","primary_location":{"id":"doi:10.1007/s10898-004-8267-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-004-8267-y","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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":"Journal of Global Optimization","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/A5075722660","display_name":"Riccardo Cambini","orcid":"https://orcid.org/0000-0001-8769-1032"},"institutions":[{"id":"https://openalex.org/I108290504","display_name":"University of Pisa","ror":"https://ror.org/03ad39j10","country_code":"IT","type":"education","lineage":["https://openalex.org/I108290504"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"R. Cambini","raw_affiliation_strings":["Department of Statistics and Applied Mathematics, Faculty of Economics, University of Pisa, Via Cosimo Ridolfi 10, 56124, Pisa, Italy","Department of Statistics and Applied Mathematics, Faculty of Economics, University of Pisa, Pisa, Italy 56124"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics and Applied Mathematics, Faculty of Economics, University of Pisa, Via Cosimo Ridolfi 10, 56124, Pisa, Italy","institution_ids":["https://openalex.org/I108290504"]},{"raw_affiliation_string":"Department of Statistics and Applied Mathematics, Faculty of Economics, University of Pisa, Pisa, Italy 56124","institution_ids":["https://openalex.org/I108290504"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070671348","display_name":"Laura Carosi","orcid":"https://orcid.org/0000-0002-0870-2782"},"institutions":[{"id":"https://openalex.org/I108290504","display_name":"University of Pisa","ror":"https://ror.org/03ad39j10","country_code":"IT","type":"education","lineage":["https://openalex.org/I108290504"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"L. Carosi","raw_affiliation_strings":["Department of Statistics and Applied Mathematics, Faculty of Economics, University of Pisa, Via Cosimo Ridolfi 10, 56124, Pisa, Italy","Department of Statistics and Applied Mathematics, Faculty of Economics, University of Pisa, Pisa, Italy 56124"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics and Applied Mathematics, Faculty of Economics, University of Pisa, Via Cosimo Ridolfi 10, 56124, Pisa, Italy","institution_ids":["https://openalex.org/I108290504"]},{"raw_affiliation_string":"Department of Statistics and Applied Mathematics, Faculty of Economics, University of Pisa, Pisa, Italy 56124","institution_ids":["https://openalex.org/I108290504"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I108290504"],"apc_list":{"value":2780,"currency":"USD","value_usd":2780},"apc_paid":null,"fwci":3.0729,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.90620195,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":null,"biblio":{"volume":"30","issue":"2-3","first_page":"235","last_page":"251"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9986000061035156,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9980999827384949,"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":0.9100310802459717},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.7007092237472534},{"id":"https://openalex.org/keywords/quadratic-function","display_name":"Quadratic function","score":0.6106832027435303},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5555602312088013},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5092164278030396},{"id":"https://openalex.org/keywords/quadratic-form","display_name":"Quadratic form (statistics)","score":0.47437697649002075},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.4590119421482086},{"id":"https://openalex.org/keywords/sort","display_name":"sort","score":0.447092741727829},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4246349632740021},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.382008820772171},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3356895446777344},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.14732131361961365}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9100310802459717},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.7007092237472534},{"id":"https://openalex.org/C166437778","wikidata":"https://www.wikidata.org/wiki/Q50695","display_name":"Quadratic function","level":3,"score":0.6106832027435303},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5555602312088013},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5092164278030396},{"id":"https://openalex.org/C152022596","wikidata":"https://www.wikidata.org/wiki/Q7268361","display_name":"Quadratic form (statistics)","level":2,"score":0.47437697649002075},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.4590119421482086},{"id":"https://openalex.org/C88548561","wikidata":"https://www.wikidata.org/wiki/Q347599","display_name":"sort","level":2,"score":0.447092741727829},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4246349632740021},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.382008820772171},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3356895446777344},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.14732131361961365},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10898-004-8267-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-004-8267-y","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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":"Journal of Global Optimization","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:jglopt:v:30:y:2004:i:2:p:235-251","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s10898-004-8267-y","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:arpi.unipi.it:11568/185789","is_oa":false,"landing_page_url":"http://hdl.handle.net/11568/185789","pdf_url":null,"source":{"id":"https://openalex.org/S4377196265","display_name":"CINECA IRIS Institutial research information system (University of Pisa)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I108290504","host_organization_name":"University of Pisa","host_organization_lineage":["https://openalex.org/I108290504"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","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":28,"referenced_works":["https://openalex.org/W94284725","https://openalex.org/W133145907","https://openalex.org/W218580582","https://openalex.org/W1500921805","https://openalex.org/W1545461878","https://openalex.org/W1974511160","https://openalex.org/W1979028018","https://openalex.org/W1998452531","https://openalex.org/W2003049915","https://openalex.org/W2006096481","https://openalex.org/W2031980076","https://openalex.org/W2041773229","https://openalex.org/W2063973166","https://openalex.org/W2070192686","https://openalex.org/W2147243899","https://openalex.org/W2277894705","https://openalex.org/W2312454634","https://openalex.org/W2335127210","https://openalex.org/W3000651840","https://openalex.org/W3023995817","https://openalex.org/W3114739715","https://openalex.org/W4210953350","https://openalex.org/W4210963865","https://openalex.org/W4235178178","https://openalex.org/W4240369198","https://openalex.org/W4242335201","https://openalex.org/W4295016751","https://openalex.org/W4300518817"],"related_works":["https://openalex.org/W269925151","https://openalex.org/W3096788047","https://openalex.org/W2101513891","https://openalex.org/W2061663474","https://openalex.org/W2364804428","https://openalex.org/W4320232412","https://openalex.org/W2352916597","https://openalex.org/W2153676672","https://openalex.org/W2047406140","https://openalex.org/W1987367409"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
