{"id":"https://openalex.org/W2014892409","doi":"https://doi.org/10.1007/bf02844773","title":"Generalization of convex and related functions","display_name":"Generalization of convex and related functions","publication_year":1990,"publication_date":"1990-10-01","ids":{"openalex":"https://openalex.org/W2014892409","doi":"https://doi.org/10.1007/bf02844773","mag":"2014892409"},"language":"en","primary_location":{"id":"doi:10.1007/bf02844773","doi":"https://doi.org/10.1007/bf02844773","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02844773","pdf_url":null,"source":{"id":"https://openalex.org/S55160269","display_name":"Rendiconti del Circolo Matematico di Palermo Series 2","issn_l":"0009-725X","issn":["0009-725X","1973-4409"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-d","jufo-1","norway-1","poland-40","russia-white-list-2"],"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":"Rendiconti del Circolo Matematico di Palermo","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"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/A5112220339","display_name":"Kadambini Kar","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I3133213366","display_name":"Sriram Chandra Bhanja Medical College Hospital","ror":"https://ror.org/050b05p79","country_code":"IN","type":"education","lineage":["https://openalex.org/I3133213366"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"K. Kar","raw_affiliation_strings":["S.B.W. College, 753001, Cuttack, India","S.B.W. College"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"S.B.W. College, 753001, Cuttack, India","institution_ids":["https://openalex.org/I3133213366"]},{"raw_affiliation_string":"S.B.W. College","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024246713","display_name":"Sudarsan Nanda","orcid":"https://orcid.org/0000-0001-8155-5363","observed_orcids":["https://orcid.org/0000-0001-8155-5363"]},"institutions":[{"id":"https://openalex.org/I145894827","display_name":"Indian Institute of Technology Kharagpur","ror":"https://ror.org/03w5sq511","country_code":"IN","type":"education","lineage":["https://openalex.org/I145894827"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"S. Nanda","raw_affiliation_strings":["I.I.T. Kharagpur, 721302, Kharagpur, India","I.I.T. Kharagpur"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"I.I.T. Kharagpur, 721302, Kharagpur, India","institution_ids":["https://openalex.org/I145894827"]},{"raw_affiliation_string":"I.I.T. Kharagpur","institution_ids":["https://openalex.org/I145894827"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076560184","display_name":"M.S. Mishra","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4405276246","display_name":"Kendrapara Autonomous College","ror":"https://ror.org/052qzww39","country_code":"IN","type":"education","lineage":["https://openalex.org/I4405276246"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"M. S. Mishra","raw_affiliation_strings":["Kendrapara College, Kendrapara, Cuttack, India","Kendrapara College"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Kendrapara College, Kendrapara, Cuttack, India","institution_ids":["https://openalex.org/I4405276246"]},{"raw_affiliation_string":"Kendrapara College","institution_ids":["https://openalex.org/I4405276246"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3290,"currency":"USD","value_usd":3290},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":87,"max":93},"biblio":{"volume":"39","issue":"3","first_page":"446","last_page":"458"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11564","display_name":"Mathematical Inequalities and Applications","score":1.0,"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/T11564","display_name":"Mathematical Inequalities and Applications","score":1.0,"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/T12062","display_name":"Approximation Theory and Sequence Spaces","score":0.0,"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/T12508","display_name":"Functional Equations Stability Results","score":0.0,"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/convex-functions","display_name":"convex functions","score":0.9679999947547913},{"id":"https://openalex.org/keywords/generalized-convexity","display_name":"generalized convexity","score":0.6819999814033508},{"id":"https://openalex.org/keywords/logarithmic-convexity","display_name":"logarithmic convexity","score":0.6309999823570251},{"id":"https://openalex.org/keywords/harmonic-convexity","display_name":"harmonic convexity","score":0.984000027179718}],"concepts":[{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.7008296251296997},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5149884819984436},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4423624277114868},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.4408293664455414},{"id":"https://openalex.org/C200661725","wikidata":"https://www.wikidata.org/wiki/Q289500","display_name":"Subderivative","level":4,"score":0.43314629793167114},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.19089585542678833},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14188668131828308},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07698744535446167}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf02844773","doi":"https://doi.org/10.1007/bf02844773","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02844773","pdf_url":null,"source":{"id":"https://openalex.org/S55160269","display_name":"Rendiconti del Circolo Matematico di Palermo Series 2","issn_l":"0009-725X","issn":["0009-725X","1973-4409"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-d","jufo-1","norway-1","poland-40","russia-white-list-2"],"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":"Rendiconti del Circolo Matematico di Palermo","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W631645519","https://openalex.org/W1980844505","https://openalex.org/W2023989901","https://openalex.org/W2047118504","https://openalex.org/W2057652230","https://openalex.org/W2064551963","https://openalex.org/W2068372010","https://openalex.org/W2089627759","https://openalex.org/W2099531205","https://openalex.org/W2315999480","https://openalex.org/W2955198501","https://openalex.org/W4237731557","https://openalex.org/W4249667877"],"related_works":["https://openalex.org/W2952443410","https://openalex.org/W2757848065","https://openalex.org/W2808718505","https://openalex.org/W1972602625","https://openalex.org/W2097392725","https://openalex.org/W2529633499","https://openalex.org/W4377001226","https://openalex.org/W7140884362","https://openalex.org/W622896442","https://openalex.org/W2810914296"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-11-11T12:16:26.678958","created_date":"2016-06-24T00:00:00"}
