{"id":"https://openalex.org/W4382280551","doi":"https://doi.org/10.3390/sym15071312","title":"Exploring Quantum Simpson-Type Inequalities for Convex Functions: A Novel Investigation","display_name":"Exploring Quantum Simpson-Type Inequalities for Convex Functions: A Novel Investigation","publication_year":2023,"publication_date":"2023-06-27","ids":{"openalex":"https://openalex.org/W4382280551","doi":"https://doi.org/10.3390/sym15071312"},"language":"en","primary_location":{"id":"doi:10.3390/sym15071312","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/sym15071312","pdf_url":"https://www.mdpi.com/2073-8994/15/7/1312/pdf?version=1687839870","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/2073-8994/15/7/1312/pdf?version=1687839870","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5028382183","display_name":"Sabah Iftikhar","orcid":"https://orcid.org/0000-0002-4392-2123"},"institutions":[{"id":"https://openalex.org/I4210134189","display_name":"Xiamen University Malaysia","ror":"https://ror.org/0331wa828","country_code":"MY","type":"education","lineage":["https://openalex.org/I191208505","https://openalex.org/I4210134189"]}],"countries":["MY"],"is_corresponding":false,"raw_author_name":"Sabah Iftikhar","raw_affiliation_strings":["Department of Mathematics, Xiamen University Malaysia, Sepang 43900, Malaysia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Xiamen University Malaysia, Sepang 43900, Malaysia","institution_ids":["https://openalex.org/I4210134189"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035904409","display_name":"Muhammad Uzair Awan","orcid":"https://orcid.org/0000-0002-1019-9485"},"institutions":[{"id":"https://openalex.org/I194348271","display_name":"Government College University, Faisalabad","ror":"https://ror.org/051zgra59","country_code":"PK","type":"education","lineage":["https://openalex.org/I194348271"]}],"countries":["PK"],"is_corresponding":true,"raw_author_name":"Muhammad Uzair Awan","raw_affiliation_strings":["Department of Mathematics, Government College University, Faisalabad 38000, Pakistan"],"raw_orcid":"https://orcid.org/0000-0002-1019-9485","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Government College University, Faisalabad 38000, Pakistan","institution_ids":["https://openalex.org/I194348271"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071456926","display_name":"H\u00fcseyin Budak","orcid":"https://orcid.org/0000-0001-8843-955X"},"institutions":[{"id":"https://openalex.org/I54001450","display_name":"D\u00fczce \u00dcniversitesi","ror":"https://ror.org/04175wc52","country_code":"TR","type":"education","lineage":["https://openalex.org/I54001450"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"H\u00fcseyin Budak","raw_affiliation_strings":["Department of Mathematics, Faculty of Science and Arts, D\u00fczce University, D\u00fczce 81620, Turkey"],"raw_orcid":"https://orcid.org/0000-0001-8843-955X","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science and Arts, D\u00fczce University, D\u00fczce 81620, Turkey","institution_ids":["https://openalex.org/I54001450"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5035904409"],"corresponding_institution_ids":["https://openalex.org/I194348271"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.9867,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.70813048,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"15","issue":"7","first_page":"1312","last_page":"1312"},"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9789999723434448,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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":0.9785000085830688,"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/convexity","display_name":"Convexity","score":0.761759877204895},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.6199976205825806},{"id":"https://openalex.org/keywords/credibility","display_name":"Credibility","score":0.5815078020095825},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.5726217031478882},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5410311222076416},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.505476713180542},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48515185713768005},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.48171907663345337},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4798547625541687},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.47921425104141235},{"id":"https://openalex.org/keywords/presentation","display_name":"Presentation (obstetrics)","score":0.41220730543136597},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35882073640823364},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3312429189682007},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2488875389099121},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15696462988853455},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.15363284945487976},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.12180230021476746},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.11662834882736206},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.1088709831237793},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.08622181415557861},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08333933353424072},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.0753965675830841}],"concepts":[{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.761759877204895},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.6199976205825806},{"id":"https://openalex.org/C2780224610","wikidata":"https://www.wikidata.org/wiki/Q1530061","display_name":"Credibility","level":2,"score":0.5815078020095825},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5726217031478882},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5410311222076416},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.505476713180542},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48515185713768005},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.48171907663345337},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4798547625541687},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.47921425104141235},{"id":"https://openalex.org/C2777601897","wikidata":"https://www.wikidata.org/wiki/Q3409113","display_name":"Presentation (obstetrics)","level":2,"score":0.41220730543136597},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35882073640823364},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3312429189682007},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2488875389099121},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15696462988853455},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.15363284945487976},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.12180230021476746},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.11662834882736206},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.1088709831237793},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.08622181415557861},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08333933353424072},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0753965675830841},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","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/C126838900","wikidata":"https://www.wikidata.org/wiki/Q77604","display_name":"Radiology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/sym15071312","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/sym15071312","pdf_url":"https://www.mdpi.com/2073-8994/15/7/1312/pdf?version=1687839870","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:1d4adab61b154e3091a800bc4af9e011","is_oa":false,"landing_page_url":"https://doaj.org/article/1d4adab61b154e3091a800bc4af9e011","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 15, Iss 7, p 1312 (2023)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/15/7/1312/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/sym15071312","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; Volume 15; Issue 7; Pages: 1312","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym15071312","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/sym15071312","pdf_url":"https://www.mdpi.com/2073-8994/15/7/1312/pdf?version=1687839870","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":[{"score":0.699999988079071,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320325434","display_name":"Xiamen University","ror":"https://ror.org/00mcjh785"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4382280551.pdf","grobid_xml":"https://content.openalex.org/works/W4382280551.grobid-xml"},"referenced_works_count":34,"referenced_works":["https://openalex.org/W155259267","https://openalex.org/W566543047","https://openalex.org/W1963574764","https://openalex.org/W2084967964","https://openalex.org/W2097442968","https://openalex.org/W2110830647","https://openalex.org/W2118017323","https://openalex.org/W2155067458","https://openalex.org/W2517934544","https://openalex.org/W2768544479","https://openalex.org/W2782703050","https://openalex.org/W2901042272","https://openalex.org/W2903384452","https://openalex.org/W2953525767","https://openalex.org/W2955550363","https://openalex.org/W2967115160","https://openalex.org/W3006443523","https://openalex.org/W3045278394","https://openalex.org/W3080315892","https://openalex.org/W3087475508","https://openalex.org/W3097697140","https://openalex.org/W3108036975","https://openalex.org/W3165108250","https://openalex.org/W3194667921","https://openalex.org/W3210321988","https://openalex.org/W4200268507","https://openalex.org/W4224013933","https://openalex.org/W4226051171","https://openalex.org/W4240644230","https://openalex.org/W6606375086","https://openalex.org/W6671893725","https://openalex.org/W6725986834","https://openalex.org/W6805036853","https://openalex.org/W6941342486"],"related_works":["https://openalex.org/W2388687352","https://openalex.org/W2912909874","https://openalex.org/W4288573727","https://openalex.org/W2494876756","https://openalex.org/W2768754015","https://openalex.org/W4398758929","https://openalex.org/W257189624","https://openalex.org/W2393350255","https://openalex.org/W4390176194","https://openalex.org/W4387635768"],"abstract_inverted_index":{"This":[0],"study":[1,21],"seeks":[2],"to":[3],"derive":[4],"novel":[5],"quantum":[6],"variations":[7],"of":[8,17,25,32],"Simpson\u2019s":[9],"inequality":[10],"by":[11],"primarily":[12],"utilizing":[13],"the":[14,20,23,26,30],"convexity":[15],"characteristics":[16],"functions.":[18],"Additionally,":[19],"examines":[22],"credibility":[24],"obtained":[27],"results":[28],"through":[29],"presentation":[31],"relevant":[33],"numerical":[34],"examples":[35],"and":[36],"graphs.":[37]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2026-06-15T08:34:33.830935","created_date":"2025-10-10T00:00:00"}