{"id":"https://openalex.org/W2773642695","doi":"https://doi.org/10.1007/s10998-017-0232-x","title":"Jensen inequalities for P-class functions","display_name":"Jensen inequalities for P-class functions","publication_year":2017,"publication_date":"2017-12-15","ids":{"openalex":"https://openalex.org/W2773642695","doi":"https://doi.org/10.1007/s10998-017-0232-x","mag":"2773642695"},"language":"en","primary_location":{"id":"doi:10.1007/s10998-017-0232-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10998-017-0232-x","pdf_url":null,"source":{"id":"https://openalex.org/S106707257","display_name":"Periodica Mathematica Hungarica","issn_l":"0031-5303","issn":["0031-5303","1588-2829"],"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":"Periodica Mathematica Hungarica","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/A5108123440","display_name":"Jamal Rooin","orcid":null},"institutions":[{"id":"https://openalex.org/I161028277","display_name":"Institute for Advanced Studies in Basic Sciences","ror":"https://ror.org/00bzsst90","country_code":"IR","type":"education","lineage":["https://openalex.org/I161028277"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"J. Rooin","raw_affiliation_strings":["Department of Mathematics, Institute for Advanced Studies in Basic Sciences (IASBS), Zanjan, 45137-66731, Iran","Department of Mathematics, Institute for Advanced Studies in Basic Sciences (IASBS), Zanjan, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Institute for Advanced Studies in Basic Sciences (IASBS), Zanjan, 45137-66731, Iran","institution_ids":["https://openalex.org/I161028277"]},{"raw_affiliation_string":"Department of Mathematics, Institute for Advanced Studies in Basic Sciences (IASBS), Zanjan, Iran","institution_ids":["https://openalex.org/I161028277"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051697306","display_name":"S. Habibzadeh","orcid":"https://orcid.org/0000-0002-9750-6985"},"institutions":[{"id":"https://openalex.org/I161028277","display_name":"Institute for Advanced Studies in Basic Sciences","ror":"https://ror.org/00bzsst90","country_code":"IR","type":"education","lineage":["https://openalex.org/I161028277"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"S. Habibzadeh","raw_affiliation_strings":["Department of Mathematics, Institute for Advanced Studies in Basic Sciences (IASBS), Zanjan, 45137-66731, Iran","Tusi Mathematical Research Group (TMRG), Mashhad, Iran","Department of Mathematics, Institute for Advanced Studies in Basic Sciences (IASBS), Zanjan, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Institute for Advanced Studies in Basic Sciences (IASBS), Zanjan, 45137-66731, Iran","institution_ids":["https://openalex.org/I161028277"]},{"raw_affiliation_string":"Tusi Mathematical Research Group (TMRG), Mashhad, Iran","institution_ids":[]},{"raw_affiliation_string":"Department of Mathematics, Institute for Advanced Studies in Basic Sciences (IASBS), Zanjan, Iran","institution_ids":["https://openalex.org/I161028277"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063108894","display_name":"Mohammad Sal Moslehian","orcid":"https://orcid.org/0000-0001-7905-528X"},"institutions":[{"id":"https://openalex.org/I86958956","display_name":"Ferdowsi University of Mashhad","ror":"https://ror.org/00g6ka752","country_code":"IR","type":"education","lineage":["https://openalex.org/I86958956"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"M. S. Moslehian","raw_affiliation_strings":["Department of Pure Mathematics, Center of Excellence in Analysis on Algebraic Structures (CEAAS), Ferdowsi University of Mashhad, P. O. Box 1159, Mashhad, 91775, Iran","Department of Pure Mathematics, Center of Excellence in Analysis on Algebraic Structures (CEAAS), Ferdowsi University of Mashhad, Mashhad, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Pure Mathematics, Center of Excellence in Analysis on Algebraic Structures (CEAAS), Ferdowsi University of Mashhad, P. O. Box 1159, Mashhad, 91775, Iran","institution_ids":["https://openalex.org/I86958956"]},{"raw_affiliation_string":"Department of Pure Mathematics, Center of Excellence in Analysis on Algebraic Structures (CEAAS), Ferdowsi University of Mashhad, Mashhad, Iran","institution_ids":["https://openalex.org/I86958956"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5063108894"],"corresponding_institution_ids":["https://openalex.org/I86958956"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.7539,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.70607354,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"77","issue":"2","first_page":"261","last_page":"273"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11564","display_name":"Mathematical Inequalities and Applications","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9878000020980835,"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":0.9815999865531921,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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":0.9055744409561157},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6887520551681519},{"id":"https://openalex.org/keywords/jensens-inequality","display_name":"Jensen's inequality","score":0.5890154242515564},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5632655620574951},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.5044897794723511},{"id":"https://openalex.org/keywords/hadamard-transform","display_name":"Hadamard transform","score":0.4949800372123718},{"id":"https://openalex.org/keywords/new-class","display_name":"New class","score":0.48341643810272217},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4749310612678528},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.42474985122680664},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36147814989089966},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.33610695600509644},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.17900198698043823},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.10543283820152283},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.07251712679862976},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.043862998485565186}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9055744409561157},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6887520551681519},{"id":"https://openalex.org/C174169938","wikidata":"https://www.wikidata.org/wiki/Q518131","display_name":"Jensen's inequality","level":5,"score":0.5890154242515564},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5632655620574951},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.5044897794723511},{"id":"https://openalex.org/C60292330","wikidata":"https://www.wikidata.org/wiki/Q1014065","display_name":"Hadamard transform","level":2,"score":0.4949800372123718},{"id":"https://openalex.org/C2776020190","wikidata":"https://www.wikidata.org/wiki/Q997453","display_name":"New class","level":2,"score":0.48341643810272217},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4749310612678528},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.42474985122680664},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36147814989089966},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.33610695600509644},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17900198698043823},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.10543283820152283},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.07251712679862976},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.043862998485565186},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","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/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10998-017-0232-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10998-017-0232-x","pdf_url":null,"source":{"id":"https://openalex.org/S106707257","display_name":"Periodica Mathematica Hungarica","issn_l":"0031-5303","issn":["0031-5303","1588-2829"],"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":"Periodica Mathematica Hungarica","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.6000000238418579}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W153850935","https://openalex.org/W1594563152","https://openalex.org/W1602049633","https://openalex.org/W1968476607","https://openalex.org/W2000689309","https://openalex.org/W2011455703","https://openalex.org/W2022806724","https://openalex.org/W2028459013","https://openalex.org/W2029592138","https://openalex.org/W2071306680","https://openalex.org/W2312607821","https://openalex.org/W2490754630","https://openalex.org/W2564440349","https://openalex.org/W2612116522","https://openalex.org/W2787696370","https://openalex.org/W3038830718","https://openalex.org/W3039948875","https://openalex.org/W4205158050","https://openalex.org/W4245345046","https://openalex.org/W4285719527","https://openalex.org/W4292070096"],"related_works":["https://openalex.org/W2364547801","https://openalex.org/W4206144597","https://openalex.org/W4200119807","https://openalex.org/W127429320","https://openalex.org/W2352918824","https://openalex.org/W1606634388","https://openalex.org/W4382246683","https://openalex.org/W2164154645","https://openalex.org/W1691104707","https://openalex.org/W2351958569"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
