{"id":"https://openalex.org/W4409510462","doi":"https://doi.org/10.3390/sym17040601","title":"Jensen\u2013Jessen Inequality for Convex Maps","display_name":"Jensen\u2013Jessen Inequality for Convex Maps","publication_year":2025,"publication_date":"2025-04-16","ids":{"openalex":"https://openalex.org/W4409510462","doi":"https://doi.org/10.3390/sym17040601"},"language":"en","primary_location":{"id":"doi:10.3390/sym17040601","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17040601","pdf_url":null,"source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.3390/sym17040601","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5028655655","display_name":"Zdzis\u0142aw Otachel","orcid":"https://orcid.org/0000-0003-3580-9582"},"institutions":[{"id":"https://openalex.org/I158552681","display_name":"University of Life Sciences in Lublin","ror":"https://ror.org/03hq67y94","country_code":"PL","type":"education","lineage":["https://openalex.org/I158552681"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Zdzis\u0142aw Otachel","raw_affiliation_strings":["Department of Applied Mathematics and Computer Science, University of Life Sciences in Lublin, G\u0142\u0229boka 28, 20-950 Lublin, Poland"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Computer Science, University of Life Sciences in Lublin, G\u0142\u0229boka 28, 20-950 Lublin, Poland","institution_ids":["https://openalex.org/I158552681"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5028655655"],"corresponding_institution_ids":["https://openalex.org/I158552681"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.13072202,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"17","issue":"4","first_page":"601","last_page":"601"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11564","display_name":"Mathematical Inequalities and Applications","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9991999864578247,"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/T11830","display_name":"Point processes and geometric inequalities","score":0.9858999848365784,"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/jensens-inequality","display_name":"Jensen's inequality","score":0.6909220814704895},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5798075199127197},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.5320119857788086},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.49842000007629395},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.4228357970714569},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3461531102657318},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2753909230232239},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.23531529307365417},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.21805864572525024},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.20236298441886902}],"concepts":[{"id":"https://openalex.org/C174169938","wikidata":"https://www.wikidata.org/wiki/Q518131","display_name":"Jensen's inequality","level":5,"score":0.6909220814704895},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5798075199127197},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.5320119857788086},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.49842000007629395},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.4228357970714569},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3461531102657318},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2753909230232239},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.23531529307365417},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.21805864572525024},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.20236298441886902}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3390/sym17040601","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17040601","pdf_url":null,"source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.3390/sym17040601","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17040601","pdf_url":null,"source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1483410628","https://openalex.org/W1526694070","https://openalex.org/W1992401381","https://openalex.org/W2001890836","https://openalex.org/W2024399828","https://openalex.org/W2048305092","https://openalex.org/W2127037416","https://openalex.org/W2324139106","https://openalex.org/W3033013585","https://openalex.org/W3144969279","https://openalex.org/W4220949355","https://openalex.org/W4248843359","https://openalex.org/W4256136326","https://openalex.org/W4300079171","https://openalex.org/W4391052186","https://openalex.org/W6629005197","https://openalex.org/W6631464017","https://openalex.org/W6792728667"],"related_works":["https://openalex.org/W4206144597","https://openalex.org/W4200119807","https://openalex.org/W2352918824","https://openalex.org/W4287592247","https://openalex.org/W2548648855","https://openalex.org/W2317104581","https://openalex.org/W1606634388","https://openalex.org/W4382246683","https://openalex.org/W2164154645","https://openalex.org/W1691104707"],"abstract_inverted_index":{"In":[0,29],"this":[1],"paper,":[2],"some":[3],"vector":[4],"inequalities":[5,24],"for":[6],"convex":[7,37,52],"maps":[8,38],"are":[9,39],"proved.":[10],"The":[11],"obtained":[12],"results":[13],"refer":[14],"to":[15,43],"the":[16,31,45,48],"famous":[17],"Jensen":[18],"inequality":[19],"and":[20,27,36,41],"generalize":[21],"further":[22],"classical":[23],"of":[25,50],"Jessen":[26],"McShane.":[28],"addition,":[30],"Hahn\u2013Banach":[32],"theorems":[33],"with":[34],"sublinear":[35],"considered":[40],"used":[42],"prove":[44],"theorem":[46],"on":[47],"support":[49],"certain":[51],"maps.":[53]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
