{"id":"https://openalex.org/W2971601979","doi":"https://doi.org/10.3390/sym11091108","title":"New Hermite\u2013Hadamard Type Inequalities Involving Non-Conformable Integral Operators","display_name":"New Hermite\u2013Hadamard Type Inequalities Involving Non-Conformable Integral Operators","publication_year":2019,"publication_date":"2019-09-03","ids":{"openalex":"https://openalex.org/W2971601979","doi":"https://doi.org/10.3390/sym11091108","mag":"2971601979"},"language":"en","primary_location":{"id":"doi:10.3390/sym11091108","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym11091108","pdf_url":"https://www.mdpi.com/2073-8994/11/9/1108/pdf?version=1567500498","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/2073-8994/11/9/1108/pdf?version=1567500498","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5033609929","display_name":"Juan E. N\u00e1poles Vald\u00e9s","orcid":"https://orcid.org/0000-0003-2470-1090"},"institutions":[{"id":"https://openalex.org/I3017690349","display_name":"National University of the Northeast","ror":"https://ror.org/057ecva72","country_code":"AR","type":"education","lineage":["https://openalex.org/I3017690349"]}],"countries":["AR"],"is_corresponding":false,"raw_author_name":"Juan E. N\u00e1poles Vald\u00e9s","raw_affiliation_strings":["Facultad de Ciencias Exactas y Naturales y Agrimensura, Universidad Nacional del Nordeste, Corrientes Capital 3400, Argentinar"],"raw_orcid":"https://orcid.org/0000-0003-2470-1090","affiliations":[{"raw_affiliation_string":"Facultad de Ciencias Exactas y Naturales y Agrimensura, Universidad Nacional del Nordeste, Corrientes Capital 3400, Argentinar","institution_ids":["https://openalex.org/I3017690349"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002592714","display_name":"Jos\u00e9 M. Rodr\u0131\u0301guez","orcid":"https://orcid.org/0000-0003-2851-7442"},"institutions":[{"id":"https://openalex.org/I50357001","display_name":"Universidad Carlos III de Madrid","ror":"https://ror.org/03ths8210","country_code":"ES","type":"education","lineage":["https://openalex.org/I50357001"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Jos\u00e9 M. Rodr\u00edguez","raw_affiliation_strings":["Departamento de Matem\u00e1ticas, Universidad Carlos III de Madrid, Avenida de la Universidad 30, Legan\u00e9s, 28911 Madrid, Spain"],"raw_orcid":"https://orcid.org/0000-0003-2851-7442","affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas, Universidad Carlos III de Madrid, Avenida de la Universidad 30, Legan\u00e9s, 28911 Madrid, Spain","institution_ids":["https://openalex.org/I50357001"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041892602","display_name":"Jos\u00e9 M. Sigarreta","orcid":"https://orcid.org/0000-0002-0863-4695"},"institutions":[{"id":"https://openalex.org/I3130105584","display_name":"Universidad Aut\u00f3noma de Guerrero","ror":"https://ror.org/054tbkd46","country_code":"MX","type":"education","lineage":["https://openalex.org/I3130105584"]},{"id":"https://openalex.org/I721619","display_name":"Benem\u00e9rita Universidad Aut\u00f3noma de Puebla","ror":"https://ror.org/03p2z7827","country_code":"MX","type":"education","lineage":["https://openalex.org/I721619"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Jos\u00e9 M. Sigarreta","raw_affiliation_strings":["Facultad de Matem\u00e1ticas, Universidad Aut\u00f3noma de Guerrero, Carlos E. Adame No.54 Col. Garita, Acalpulco Gro. 39650, Mexico","Instituto de F\u00edsica, Benem\u00e9rita Universidad Aut\u00f3noma de Puebla, Apartado Postal J-48, Puebla 72570, Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Facultad de Matem\u00e1ticas, Universidad Aut\u00f3noma de Guerrero, Carlos E. Adame No.54 Col. Garita, Acalpulco Gro. 39650, Mexico","institution_ids":["https://openalex.org/I3130105584"]},{"raw_affiliation_string":"Instituto de F\u00edsica, Benem\u00e9rita Universidad Aut\u00f3noma de Puebla, Apartado Postal J-48, Puebla 72570, Mexico","institution_ids":["https://openalex.org/I721619"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5002592714"],"corresponding_institution_ids":["https://openalex.org/I50357001"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":9.2727,"has_fulltext":true,"cited_by_count":51,"citation_normalized_percentile":{"value":0.98811971,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"11","issue":"9","first_page":"1108","last_page":"1108"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11564","display_name":"Mathematical Inequalities and Applications","score":0.9997000098228455,"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":0.9997000098228455,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9876999855041504,"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"}},{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.9642000198364258,"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/conformable-matrix","display_name":"Conformable matrix","score":0.9545308351516724},{"id":"https://openalex.org/keywords/hadamard-transform","display_name":"Hadamard transform","score":0.8367440700531006},{"id":"https://openalex.org/keywords/hermite-polynomials","display_name":"Hermite polynomials","score":0.754340410232544},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6438273787498474},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.6157505512237549},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5565259456634521},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.48033466935157776},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4258866608142853},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33585548400878906},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3199115991592407},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10935744643211365}],"concepts":[{"id":"https://openalex.org/C86072612","wikidata":"https://www.wikidata.org/wiki/Q5160239","display_name":"Conformable matrix","level":2,"score":0.9545308351516724},{"id":"https://openalex.org/C60292330","wikidata":"https://www.wikidata.org/wiki/Q1014065","display_name":"Hadamard transform","level":2,"score":0.8367440700531006},{"id":"https://openalex.org/C201362023","wikidata":"https://www.wikidata.org/wiki/Q658574","display_name":"Hermite polynomials","level":2,"score":0.754340410232544},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6438273787498474},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.6157505512237549},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5565259456634521},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.48033466935157776},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4258866608142853},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33585548400878906},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3199115991592407},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10935744643211365},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/sym11091108","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym11091108","pdf_url":"https://www.mdpi.com/2073-8994/11/9/1108/pdf?version=1567500498","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:385ea1dd277541a394d30c27a8b7d3dd","is_oa":true,"landing_page_url":"https://doaj.org/article/385ea1dd277541a394d30c27a8b7d3dd","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":"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 9, p 1108 (2019)","raw_type":"article"},{"id":"pmh:oai:e-archivo.uc3m.es:10016/35506","is_oa":true,"landing_page_url":"http://hdl.handle.net/10016/35506","pdf_url":null,"source":{"id":"https://openalex.org/S4306400817","display_name":"e-Archivo (Carlos III University of Madrid)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I50357001","host_organization_name":"Universidad Carlos III de Madrid","host_organization_lineage":["https://openalex.org/I50357001"],"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":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.3390/sym11091108","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym11091108","pdf_url":"https://www.mdpi.com/2073-8994/11/9/1108/pdf?version=1567500498","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","score":0.5400000214576721,"display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G4960341535","display_name":null,"funder_award_id":"MTM2017-90584-REDT","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"},{"id":"https://openalex.org/G6424319103","display_name":null,"funder_award_id":"MTM2016-78227-C2-1-P","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"},{"id":"https://openalex.org/G7027181184","display_name":null,"funder_award_id":"MTM2016-78227-C2-1-P and MTM2017-90584-REDT","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"},{"id":"https://openalex.org/G8026612899","display_name":null,"funder_award_id":"MTM2016-78227-C2-1-P","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"},{"id":"https://openalex.org/G8057291912","display_name":null,"funder_award_id":"MTM2017-90584-REDT","funder_id":"https://openalex.org/F4320335598","funder_display_name":"Agencia Estatal de Investigaci\u00f3n"}],"funders":[{"id":"https://openalex.org/F4320335322","display_name":"European Regional Development Fund","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320335598","display_name":"Agencia Estatal de Investigaci\u00f3n","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2971601979.pdf","grobid_xml":"https://content.openalex.org/works/W2971601979.grobid-xml"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W1990981221","https://openalex.org/W1992131688","https://openalex.org/W2063067239","https://openalex.org/W2074778365","https://openalex.org/W2075641473","https://openalex.org/W2581129351","https://openalex.org/W2613734495","https://openalex.org/W2769834859","https://openalex.org/W2772643525","https://openalex.org/W2802275298","https://openalex.org/W2807016913","https://openalex.org/W2899544906","https://openalex.org/W2899643692","https://openalex.org/W2902177805","https://openalex.org/W2907573050","https://openalex.org/W2911795534","https://openalex.org/W2942822107","https://openalex.org/W2950934745","https://openalex.org/W3125717381","https://openalex.org/W6732573306","https://openalex.org/W6751903521"],"related_works":["https://openalex.org/W4407082414","https://openalex.org/W2937491694","https://openalex.org/W2558746723","https://openalex.org/W4396753818","https://openalex.org/W3009899519","https://openalex.org/W4294618985","https://openalex.org/W2883154935","https://openalex.org/W2518252082","https://openalex.org/W1516333818","https://openalex.org/W4296878442"],"abstract_inverted_index":{"At":[0],"present,":[1],"inequalities":[2],"have":[3],"reached":[4],"an":[5],"outstanding":[6],"theoretical":[7],"and":[8,11],"applied":[9],"development":[10],"they":[12],"are":[13],"the":[14],"methodological":[15],"base":[16],"of":[17],"many":[18],"mathematical":[19],"processes.":[20],"In":[21,30],"particular,":[22],"Hermite\u2013":[23],"Hadamard":[24],"inequality":[25,41],"has":[26],"received":[27],"considerable":[28],"attention.":[29],"this":[31],"paper,":[32],"we":[33],"prove":[34],"some":[35],"new":[36],"results":[37],"related":[38],"to":[39],"Hermite\u2013Hadamard":[40],"via":[42],"symmetric":[43],"non-conformable":[44],"integral":[45],"operators.":[46]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":17},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":13},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2019-09-12T00:00:00"}
