{"id":"https://openalex.org/W4402377406","doi":"https://doi.org/10.3390/sym16091176","title":"Generalized Choi\u2013Davis\u2013Jensen\u2019s Operator Inequalities and Their Applications","display_name":"Generalized Choi\u2013Davis\u2013Jensen\u2019s Operator Inequalities and Their Applications","publication_year":2024,"publication_date":"2024-09-09","ids":{"openalex":"https://openalex.org/W4402377406","doi":"https://doi.org/10.3390/sym16091176"},"language":"en","primary_location":{"id":"doi:10.3390/sym16091176","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym16091176","pdf_url":"https://www.mdpi.com/2073-8994/16/9/1176/pdf","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","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/16/9/1176/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002859892","display_name":"Shih Yu Chang","orcid":"https://orcid.org/0000-0002-3576-0021"},"institutions":[{"id":"https://openalex.org/I51504820","display_name":"San Jose State University","ror":"https://ror.org/04qyvz380","country_code":"US","type":"education","lineage":["https://openalex.org/I51504820"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Shih Yu Chang","raw_affiliation_strings":["Department of Applied Data Science, San Jose State University, San Jose, CA 95192, USA"],"affiliations":[{"raw_affiliation_string":"Department of Applied Data Science, San Jose State University, San Jose, CA 95192, USA","institution_ids":["https://openalex.org/I51504820"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014988509","display_name":"Yimin Wei","orcid":"https://orcid.org/0000-0001-6192-0546"},"institutions":[{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yimin Wei","raw_affiliation_strings":["School of Mathematical Sciences and Key Laboratory of Mathematics for Nonlinear Sciences, Fudan University, Shanghai 200433, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences and Key Laboratory of Mathematics for Nonlinear Sciences, Fudan University, Shanghai 200433, China","institution_ids":["https://openalex.org/I24943067"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5002859892"],"corresponding_institution_ids":["https://openalex.org/I51504820"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":1.0016,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.74581269,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"16","issue":"9","first_page":"1176","last_page":"1176"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11564","display_name":"Mathematical Inequalities and Applications","score":0.9991000294685364,"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":0.9991000294685364,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9923999905586243,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9876000285148621,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6838189959526062},{"id":"https://openalex.org/keywords/jensens-inequality","display_name":"Jensen's inequality","score":0.6737843155860901},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5467055439949036},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5359358191490173},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5167957544326782},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.46565133333206177},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.43958619236946106},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4326927661895752},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.40617769956588745},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.38615429401397705},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.18946599960327148},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.13754785060882568}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6838189959526062},{"id":"https://openalex.org/C174169938","wikidata":"https://www.wikidata.org/wiki/Q518131","display_name":"Jensen's inequality","level":5,"score":0.6737843155860901},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5467055439949036},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5359358191490173},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5167957544326782},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.46565133333206177},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.43958619236946106},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4326927661895752},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.40617769956588745},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.38615429401397705},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.18946599960327148},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.13754785060882568},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"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/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/sym16091176","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym16091176","pdf_url":"https://www.mdpi.com/2073-8994/16/9/1176/pdf","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"},{"id":"pmh:oai:scholarworks.sjsu.edu:faculty_rsca-6716","is_oa":true,"landing_page_url":"https://scholarworks.sjsu.edu/faculty_rsca/5717","pdf_url":null,"source":{"id":"https://openalex.org/S4377196389","display_name":"San Jos\u00e9 State University ScholarWorks (San Jose State University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I51504820","host_organization_name":"San Jose State University","host_organization_lineage":["https://openalex.org/I51504820"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Faculty Research, Scholarly, and Creative Activity","raw_type":"text"},{"id":"pmh:oai:doaj.org/article:b933058419af43db8247acb879bc3e97","is_oa":true,"landing_page_url":"https://doaj.org/article/b933058419af43db8247acb879bc3e97","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":"Symmetry, Vol 16, Iss 9, p 1176 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/sym16091176","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym16091176","pdf_url":"https://www.mdpi.com/2073-8994/16/9/1176/pdf","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":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.6399999856948853}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4402377406.pdf","grobid_xml":"https://content.openalex.org/works/W4402377406.grobid-xml"},"referenced_works_count":13,"referenced_works":["https://openalex.org/W1768476274","https://openalex.org/W1984772269","https://openalex.org/W1984932894","https://openalex.org/W2014687456","https://openalex.org/W2034306513","https://openalex.org/W2035632748","https://openalex.org/W2056595855","https://openalex.org/W2108729010","https://openalex.org/W3159089933","https://openalex.org/W3160858956","https://openalex.org/W3172741653","https://openalex.org/W4378716886","https://openalex.org/W6797515117"],"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":{"The":[0,75],"original":[1],"Choi\u2013Davis\u2013Jensen\u2019s":[2,28,93],"inequality,":[3],"known":[4],"for":[5],"its":[6,20],"extensive":[7],"applications":[8],"in":[9,85,104],"various":[10],"scientific":[11],"and":[12,41,70,78,88],"engineering":[13],"fields,":[14],"has":[15],"inspired":[16],"researchers":[17],"to":[18,49],"pursue":[19],"generalizations.":[21],"In":[22],"this":[23,101],"study,":[24],"we":[25,96],"extend":[26],"the":[27,43,68,79,86,105],"inequality":[29,103],"by":[30],"introducing":[31],"a":[32,37,56],"nonlinear":[33],"map":[34,40],"instead":[35],"of":[36,45,72,90,100,107],"normalized":[38],"linear":[39],"generalize":[42],"concept":[44],"operator":[46],"convex":[47],"functions":[48],"include":[50],"any":[51],"continuous":[52],"function":[53,81],"defined":[54],"within":[55],"compact":[57],"region.":[58],"Notably,":[59],"operators":[60],"can":[61],"be":[62],"matrices":[63],"with":[64],"structural":[65],"symmetry,":[66],"enhancing":[67],"scope":[69],"applicability":[71],"our":[73],"results.":[74],"Stone\u2013Weierstrass":[76],"theorem":[77],"Kantorovich":[80],"play":[82],"crucial":[83],"roles":[84],"formulation":[87],"proof":[89],"these":[91],"generalized":[92,102],"inequalities.":[94],"Furthermore,":[95],"demonstrate":[97],"an":[98],"application":[99],"context":[106],"statistical":[108],"physics.":[109]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-03-14T06:41:57.775601","created_date":"2025-10-10T00:00:00"}
