{"id":"https://openalex.org/W2050618572","doi":"https://doi.org/10.1007/s10898-012-9918-z","title":"On the differentiability of the support function","display_name":"On the differentiability of the support function","publication_year":2012,"publication_date":"2012-05-25","ids":{"openalex":"https://openalex.org/W2050618572","doi":"https://doi.org/10.1007/s10898-012-9918-z","mag":"2050618572"},"language":"en","primary_location":{"id":"doi:10.1007/s10898-012-9918-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-012-9918-z","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/A5034884075","display_name":"Constantin Z\u0103linescu","orcid":"https://orcid.org/0000-0001-8461-818X"},"institutions":[{"id":"https://openalex.org/I58077936","display_name":"Romanian Academy","ror":"https://ror.org/0561n6946","country_code":"RO","type":"archive","lineage":["https://openalex.org/I58077936"]},{"id":"https://openalex.org/I138164181","display_name":"Alexandru Ioan Cuza University","ror":"https://ror.org/022kvet57","country_code":"RO","type":"education","lineage":["https://openalex.org/I138164181"]}],"countries":["RO"],"is_corresponding":true,"raw_author_name":"C. Z\u0103linescu","raw_affiliation_strings":["Faculty of Mathematics, University Alexandru Ioan Cuza Ia\u015fi, Ia\u015fi, Romania","Octav Mayer Institute of Mathematics, Romanian Academy, Ia\u015fi, Romania"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics, University Alexandru Ioan Cuza Ia\u015fi, Ia\u015fi, Romania","institution_ids":["https://openalex.org/I138164181"]},{"raw_affiliation_string":"Octav Mayer Institute of Mathematics, Romanian Academy, Ia\u015fi, Romania","institution_ids":["https://openalex.org/I58077936"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5034884075"],"corresponding_institution_ids":["https://openalex.org/I138164181","https://openalex.org/I58077936"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":2.7834,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.90670696,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"57","issue":"3","first_page":"719","last_page":"731"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9994000196456909,"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"}},"topics":[{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9994000196456909,"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/T11830","display_name":"Point processes and geometric inequalities","score":0.991599977016449,"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/T11545","display_name":"Advanced Banach Space Theory","score":0.9908000230789185,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/differentiable-function","display_name":"Differentiable function","score":0.9235919117927551},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.844828188419342},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.6601948142051697},{"id":"https://openalex.org/keywords/support-function","display_name":"Support function","score":0.629123330116272},{"id":"https://openalex.org/keywords/lemma","display_name":"Lemma (botany)","score":0.6186128258705139},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5852479338645935},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.5700216293334961},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4725496470928192},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.4442261755466461},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.415763795375824},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.39554134011268616},{"id":"https://openalex.org/keywords/subderivative","display_name":"Subderivative","score":0.3796826899051666},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3528323769569397},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.2030041217803955},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07107001543045044},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0686495304107666}],"concepts":[{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.9235919117927551},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.844828188419342},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.6601948142051697},{"id":"https://openalex.org/C173278390","wikidata":"https://www.wikidata.org/wiki/Q3075191","display_name":"Support function","level":5,"score":0.629123330116272},{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.6186128258705139},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5852479338645935},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.5700216293334961},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4725496470928192},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.4442261755466461},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.415763795375824},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.39554134011268616},{"id":"https://openalex.org/C200661725","wikidata":"https://www.wikidata.org/wiki/Q289500","display_name":"Subderivative","level":4,"score":0.3796826899051666},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3528323769569397},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.2030041217803955},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07107001543045044},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0686495304107666},{"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/C46757340","wikidata":"https://www.wikidata.org/wiki/Q43238","display_name":"Poaceae","level":2,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10898-012-9918-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-012-9918-z","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:57:y:2013:i:3:p:719-731","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s10898-012-9918-z","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W341071838","https://openalex.org/W1571966798","https://openalex.org/W1579086701","https://openalex.org/W2007684889","https://openalex.org/W2016764636","https://openalex.org/W2020994943","https://openalex.org/W2090278992","https://openalex.org/W2114605231","https://openalex.org/W2139622853","https://openalex.org/W4241159672"],"related_works":["https://openalex.org/W108799873","https://openalex.org/W4385382439","https://openalex.org/W2165448327","https://openalex.org/W2356958610","https://openalex.org/W2949862693","https://openalex.org/W4296644444","https://openalex.org/W2589786808","https://openalex.org/W3022146564","https://openalex.org/W2016119310","https://openalex.org/W2008263116"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":6}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}