{"id":"https://openalex.org/W4400530260","doi":"https://doi.org/10.3390/axioms13070466","title":"Right Quantum Calculus on Finite Intervals with Respect to Another Function and Quantum Hermite\u2013Hadamard Inequalities","display_name":"Right Quantum Calculus on Finite Intervals with Respect to Another Function and Quantum Hermite\u2013Hadamard Inequalities","publication_year":2024,"publication_date":"2024-07-10","ids":{"openalex":"https://openalex.org/W4400530260","doi":"https://doi.org/10.3390/axioms13070466"},"language":"en","primary_location":{"id":"doi:10.3390/axioms13070466","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/axioms13070466","pdf_url":"https://www.mdpi.com/2075-1680/13/7/466/pdf?version=1721288173","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"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":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/13/7/466/pdf?version=1721288173","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5079805825","display_name":"Asawathep Cuntavepanit","orcid":null},"institutions":[{"id":"https://openalex.org/I25399158","display_name":"Mahidol University","ror":"https://ror.org/01znkr924","country_code":"TH","type":"education","lineage":["https://openalex.org/I25399158"]},{"id":"https://openalex.org/I178764607","display_name":"Kanchanaburi Rajabhat University","ror":"https://ror.org/03r1pm171","country_code":"TH","type":"education","lineage":["https://openalex.org/I178764607"]}],"countries":["TH"],"is_corresponding":false,"raw_author_name":"Asawathep Cuntavepanit","raw_affiliation_strings":["Interdisciplinary Studies, Mahidol University Kanchanaburi Campus, Kanchanaburi 71150, Thailand"],"affiliations":[{"raw_affiliation_string":"Interdisciplinary Studies, Mahidol University Kanchanaburi Campus, Kanchanaburi 71150, Thailand","institution_ids":["https://openalex.org/I178764607","https://openalex.org/I25399158"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086599287","display_name":"Sotiris K. Ntouyas","orcid":"https://orcid.org/0000-0002-7695-2118"},"institutions":[{"id":"https://openalex.org/I194019607","display_name":"University of Ioannina","ror":"https://ror.org/01qg3j183","country_code":"GR","type":"education","lineage":["https://openalex.org/I194019607"]}],"countries":["GR"],"is_corresponding":true,"raw_author_name":"Sotiris K. Ntouyas","raw_affiliation_strings":["Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece","institution_ids":["https://openalex.org/I194019607"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051443783","display_name":"Jessada Tariboon","orcid":"https://orcid.org/0000-0001-8185-3539"},"institutions":[{"id":"https://openalex.org/I82828225","display_name":"King Mongkut's University of Technology North Bangkok","ror":"https://ror.org/04fy6jb97","country_code":"TH","type":"education","lineage":["https://openalex.org/I82828225"]}],"countries":["TH"],"is_corresponding":false,"raw_author_name":"Jessada Tariboon","raw_affiliation_strings":["Department of Mathematics, Faculty of Applied Science, Intelligent and Nonlinear Dynamic Innovations Research Center, King Mongkut\u2019s University of Technology North Bangkok, Bangkok 10800, Thailand","Department of Mathematics, Faculty of Applied Science, Intelligent and Nonlinear Dynamic Innovations Research Center, King Mongkut's University of Technology North Bangkok, Bangkok 10800, Thailand"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Applied Science, Intelligent and Nonlinear Dynamic Innovations Research Center, King Mongkut\u2019s University of Technology North Bangkok, Bangkok 10800, Thailand","institution_ids":["https://openalex.org/I82828225"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Applied Science, Intelligent and Nonlinear Dynamic Innovations Research Center, King Mongkut's University of Technology North Bangkok, Bangkok 10800, Thailand","institution_ids":["https://openalex.org/I82828225"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5086599287"],"corresponding_institution_ids":["https://openalex.org/I194019607"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":2.0675,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.85331388,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"13","issue":"7","first_page":"466","last_page":"466"},"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":0.9822999835014343,"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":0.9398999810218811,"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":0.7187087535858154},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6505086421966553},{"id":"https://openalex.org/keywords/hermite-polynomials","display_name":"Hermite polynomials","score":0.6268594861030579},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.5042639970779419},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.49592575430870056},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.4774263799190521},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.39516016840934753},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.3291160464286804},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3261702060699463},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.28478556871414185},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.19672974944114685},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14775946736335754},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06763431429862976}],"concepts":[{"id":"https://openalex.org/C60292330","wikidata":"https://www.wikidata.org/wiki/Q1014065","display_name":"Hadamard transform","level":2,"score":0.7187087535858154},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6505086421966553},{"id":"https://openalex.org/C201362023","wikidata":"https://www.wikidata.org/wiki/Q658574","display_name":"Hermite polynomials","level":2,"score":0.6268594861030579},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.5042639970779419},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.49592575430870056},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4774263799190521},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.39516016840934753},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.3291160464286804},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3261702060699463},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.28478556871414185},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.19672974944114685},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14775946736335754},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06763431429862976},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/axioms13070466","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/axioms13070466","pdf_url":"https://www.mdpi.com/2075-1680/13/7/466/pdf?version=1721288173","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"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":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:4a55ba3ba354495fbfa26ac556304420","is_oa":true,"landing_page_url":"https://doaj.org/article/4a55ba3ba354495fbfa26ac556304420","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":"Axioms, Vol 13, Iss 7, p 466 (2024)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2075-1680/13/7/466/","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13070466","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":"Axioms","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/axioms13070466","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/axioms13070466","pdf_url":"https://www.mdpi.com/2075-1680/13/7/466/pdf?version=1721288173","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"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":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.47999998927116394,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4400530260.pdf"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W566543047","https://openalex.org/W591568057","https://openalex.org/W2049888876","https://openalex.org/W2118017323","https://openalex.org/W2119573410","https://openalex.org/W2148885158","https://openalex.org/W2326886507","https://openalex.org/W2337697998","https://openalex.org/W2602353229","https://openalex.org/W2888624858","https://openalex.org/W2898330720","https://openalex.org/W2946748750","https://openalex.org/W2955370624","https://openalex.org/W3006443523","https://openalex.org/W3091288994","https://openalex.org/W4237821578","https://openalex.org/W4240644230","https://openalex.org/W4366772789","https://openalex.org/W4380986776","https://openalex.org/W4382315177","https://openalex.org/W4391363454","https://openalex.org/W4391487063","https://openalex.org/W4392914192","https://openalex.org/W4393278374","https://openalex.org/W4399434981"],"related_works":["https://openalex.org/W4396753818","https://openalex.org/W4294618985","https://openalex.org/W2518252082","https://openalex.org/W2364547801","https://openalex.org/W2788930696","https://openalex.org/W4301016436","https://openalex.org/W4293867722","https://openalex.org/W4297791001","https://openalex.org/W4206205240","https://openalex.org/W2277657541"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"study":[4,38],"right":[5,22,26],"quantum":[6,23,27,60],"calculus":[7,61],"on":[8,20],"finite":[9],"intervals":[10],"with":[11,32],"respect":[12,33],"to":[13,34],"another":[14,35],"function.":[15],"We":[16,53],"present":[17],"new":[18,43,64],"definitions":[19,44],"the":[21,46,51,57],"derivative":[24],"and":[25,37,70],"integral":[28],"of":[29,56],"a":[30],"function":[31,36],"their":[39],"basic":[40],"properties.":[41],"The":[42],"generalize":[45],"previous":[47],"existing":[48],"results":[49],"in":[50],"literature.":[52],"provide":[54],"applications":[55],"newly":[58],"defined":[59],"by":[62],"obtaining":[63],"Hermite\u2013Hadamard-type":[65],"inequalities":[66],"for":[67],"convex,":[68],"h-convex,":[69],"modified":[71],"h-convex":[72],"functions.":[73]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2025-12-26T23:08:49.675405","created_date":"2025-10-10T00:00:00"}