{"id":"https://openalex.org/W2980058739","doi":"https://doi.org/10.3390/sym11101283","title":"Some New Quantum Hermite\u2013Hadamard-Type Estimates Within a Class of Generalized (s,m)-Preinvex Functions","display_name":"Some New Quantum Hermite\u2013Hadamard-Type Estimates Within a Class of Generalized (s,m)-Preinvex Functions","publication_year":2019,"publication_date":"2019-10-14","ids":{"openalex":"https://openalex.org/W2980058739","doi":"https://doi.org/10.3390/sym11101283","mag":"2980058739"},"language":"en","primary_location":{"id":"doi:10.3390/sym11101283","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym11101283","pdf_url":"https://www.mdpi.com/2073-8994/11/10/1283/pdf?version=1571822873","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/2073-8994/11/10/1283/pdf?version=1571822873","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103236838","display_name":"Yong-Ping Deng","orcid":"https://orcid.org/0000-0001-8506-3358"},"institutions":[{"id":"https://openalex.org/I181361081","display_name":"Longyan University","ror":"https://ror.org/0483s5p06","country_code":"CN","type":"education","lineage":["https://openalex.org/I181361081"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yongping Deng","raw_affiliation_strings":["Department of Mathematics, Longyan University, Longyan 364012, China"],"raw_orcid":"https://orcid.org/0000-0001-8506-3358","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Longyan University, Longyan 364012, China","institution_ids":["https://openalex.org/I181361081"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001569809","display_name":"Humaira Kalsoom","orcid":"https://orcid.org/0000-0002-5835-3349"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Humaira Kalsoom","raw_affiliation_strings":["School of Mathematical Sciences, Zhejiang University, Hangzhou 310027, China"],"raw_orcid":"https://orcid.org/0000-0002-5835-3349","affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Zhejiang University, Hangzhou 310027, China","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019779351","display_name":"Shanhe Wu","orcid":"https://orcid.org/0000-0002-8772-8170"},"institutions":[{"id":"https://openalex.org/I181361081","display_name":"Longyan University","ror":"https://ror.org/0483s5p06","country_code":"CN","type":"education","lineage":["https://openalex.org/I181361081"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shanhe Wu","raw_affiliation_strings":["Department of Mathematics, Longyan University, Longyan 364012, China"],"raw_orcid":"https://orcid.org/0000-0002-8772-8170","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Longyan University, Longyan 364012, China","institution_ids":["https://openalex.org/I181361081"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5001569809"],"corresponding_institution_ids":["https://openalex.org/I76130692"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":6.2926,"has_fulltext":false,"cited_by_count":30,"citation_normalized_percentile":{"value":0.97495991,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"11","issue":"10","first_page":"1283","last_page":"1283"},"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":0.9646999835968018,"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/T11191","display_name":"Mathematical functions and polynomials","score":0.9595999717712402,"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/hadamard-transform","display_name":"Hadamard transform","score":0.8942921161651611},{"id":"https://openalex.org/keywords/hermite-polynomials","display_name":"Hermite polynomials","score":0.7795257568359375},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.638624906539917},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.6080152988433838},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.6003517508506775},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5828840732574463},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.5674191117286682},{"id":"https://openalex.org/keywords/identity","display_name":"Identity (music)","score":0.45717838406562805},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.24231871962547302},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24025529623031616},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.17387425899505615},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11433297395706177}],"concepts":[{"id":"https://openalex.org/C60292330","wikidata":"https://www.wikidata.org/wiki/Q1014065","display_name":"Hadamard transform","level":2,"score":0.8942921161651611},{"id":"https://openalex.org/C201362023","wikidata":"https://www.wikidata.org/wiki/Q658574","display_name":"Hermite polynomials","level":2,"score":0.7795257568359375},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.638624906539917},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.6080152988433838},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.6003517508506775},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5828840732574463},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5674191117286682},{"id":"https://openalex.org/C2778355321","wikidata":"https://www.wikidata.org/wiki/Q17079427","display_name":"Identity (music)","level":2,"score":0.45717838406562805},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.24231871962547302},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24025529623031616},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.17387425899505615},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11433297395706177},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/sym11101283","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym11101283","pdf_url":"https://www.mdpi.com/2073-8994/11/10/1283/pdf?version=1571822873","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:doaj.org/article:b17b56b7821b48fbb237eb2130e329af","is_oa":true,"landing_page_url":"https://doaj.org/article/b17b56b7821b48fbb237eb2130e329af","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-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 11, Iss 10, p 1283 (2019)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/11/10/1283/","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/sym11101283","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"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":"Symmetry","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym11101283","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym11101283","pdf_url":"https://www.mdpi.com/2073-8994/11/10/1283/pdf?version=1571822873","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":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.5299999713897705}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2980058739.pdf","grobid_xml":"https://content.openalex.org/works/W2980058739.grobid-xml"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W1094476048","https://openalex.org/W1675829976","https://openalex.org/W1963574764","https://openalex.org/W1969573529","https://openalex.org/W1990037710","https://openalex.org/W2012192004","https://openalex.org/W2026780626","https://openalex.org/W2054550768","https://openalex.org/W2118017323","https://openalex.org/W2364547801","https://openalex.org/W2499795752","https://openalex.org/W2516871245","https://openalex.org/W2529427475","https://openalex.org/W2560344843","https://openalex.org/W2783464335","https://openalex.org/W2794155349","https://openalex.org/W2943461950","https://openalex.org/W2953525767","https://openalex.org/W2964984583","https://openalex.org/W2970687766","https://openalex.org/W4240644230","https://openalex.org/W6627175505","https://openalex.org/W6640942387","https://openalex.org/W6663971105","https://openalex.org/W6762144023"],"related_works":["https://openalex.org/W1982241170","https://openalex.org/W2116282083","https://openalex.org/W2386549147","https://openalex.org/W1978051046","https://openalex.org/W4396753818","https://openalex.org/W4294618985","https://openalex.org/W2518252082","https://openalex.org/W1516333818","https://openalex.org/W4296878442","https://openalex.org/W2142149766"],"abstract_inverted_index":{"In":[0],"this":[1],"work,":[2],"we":[3],"discover":[4],"a":[5,20],"new":[6,27],"version":[7],"of":[8,30],"Hermite\u2013Hadamard":[9],"quantum":[10,21,28],"integrals":[11,22,29],"inequality":[12],"via":[13],"m-preinvex":[14],"functions.":[15,41],"Moreover,":[16],"the":[17],"authors":[18],"present":[19],"identity":[23],"and":[24],"drive":[25],"some":[26],"Hermite\u2013Hadamard-type":[31],"inequalities":[32],"involving":[33],"generalized":[34],"(":[35],"s":[36],",":[37],"m":[38],")":[39],"-preinvex":[40]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":10},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2019-10-18T00:00:00"}
