{"id":"https://openalex.org/W4389559820","doi":"https://doi.org/10.3390/sym15122178","title":"Some Simpson-like Inequalities Involving the (s,m)-Preinvexity","display_name":"Some Simpson-like Inequalities Involving the (s,m)-Preinvexity","publication_year":2023,"publication_date":"2023-12-08","ids":{"openalex":"https://openalex.org/W4389559820","doi":"https://doi.org/10.3390/sym15122178"},"language":"en","primary_location":{"id":"doi:10.3390/sym15122178","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15122178","pdf_url":"https://www.mdpi.com/2073-8994/15/12/2178/pdf?version=1702044249","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/2073-8994/15/12/2178/pdf?version=1702044249","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5014471887","display_name":"Tarek Chiheb","orcid":null},"institutions":[{"id":"https://openalex.org/I4210097536","display_name":"University of Guelma","ror":"https://ror.org/00xe6p546","country_code":"DZ","type":"education","lineage":["https://openalex.org/I4210097536"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"Tarek Chiheb","raw_affiliation_strings":["Laboratory of Analysis and Control of Differential Equations \u201cACED\u201d, Department of Mathematics, Facuty MISM, University of 8 May 1945 Guelma, P.O. Box 401, Guelma 24000, Algeria","Laboratory of Analysis and Control of Differential Equations \"ACED\", Department of Mathematics, Facuty MISM, University of 8 May 1945 Guelma, P.O. Box 401, Guelma 24000, Algeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory of Analysis and Control of Differential Equations \u201cACED\u201d, Department of Mathematics, Facuty MISM, University of 8 May 1945 Guelma, P.O. Box 401, Guelma 24000, Algeria","institution_ids":["https://openalex.org/I4210097536"]},{"raw_affiliation_string":"Laboratory of Analysis and Control of Differential Equations \"ACED\", Department of Mathematics, Facuty MISM, University of 8 May 1945 Guelma, P.O. Box 401, Guelma 24000, Algeria","institution_ids":["https://openalex.org/I4210097536"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041971964","display_name":"Badreddine Meftah","orcid":"https://orcid.org/0000-0002-0156-7864"},"institutions":[{"id":"https://openalex.org/I4210097536","display_name":"University of Guelma","ror":"https://ror.org/00xe6p546","country_code":"DZ","type":"education","lineage":["https://openalex.org/I4210097536"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"Badreddine Meftah","raw_affiliation_strings":["Laboratory of Analysis and Control of Differential Equations \u201cACED\u201d, Department of Mathematics, Facuty MISM, University of 8 May 1945 Guelma, P.O. Box 401, Guelma 24000, Algeria","Laboratory of Analysis and Control of Differential Equations \"ACED\", Department of Mathematics, Facuty MISM, University of 8 May 1945 Guelma, P.O. Box 401, Guelma 24000, Algeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory of Analysis and Control of Differential Equations \u201cACED\u201d, Department of Mathematics, Facuty MISM, University of 8 May 1945 Guelma, P.O. Box 401, Guelma 24000, Algeria","institution_ids":["https://openalex.org/I4210097536"]},{"raw_affiliation_string":"Laboratory of Analysis and Control of Differential Equations \"ACED\", Department of Mathematics, Facuty MISM, University of 8 May 1945 Guelma, P.O. Box 401, Guelma 24000, Algeria","institution_ids":["https://openalex.org/I4210097536"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013003394","display_name":"Abdelkader Moumen","orcid":"https://orcid.org/0000-0003-1080-3686"},"institutions":[{"id":"https://openalex.org/I4210088963","display_name":"University of Ha'il","ror":"https://ror.org/013w98a82","country_code":"SA","type":"education","lineage":["https://openalex.org/I4210088963"]}],"countries":["SA"],"is_corresponding":true,"raw_author_name":"Abdelkader Moumen","raw_affiliation_strings":["Department of Mathematics, College of Science, University of Ha\u2019il, P.O. Box 2240, Ha\u2019il 55473, Saudi Arabia","Department of Mathematics, College of Science, University of Ha'il, P.O. Box 2240, Ha'il 55473, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Science, University of Ha\u2019il, P.O. Box 2240, Ha\u2019il 55473, Saudi Arabia","institution_ids":["https://openalex.org/I4210088963"]},{"raw_affiliation_string":"Department of Mathematics, College of Science, University of Ha'il, P.O. Box 2240, Ha'il 55473, Saudi Arabia","institution_ids":["https://openalex.org/I4210088963"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025399596","display_name":"Mouataz Billah Mesmouli","orcid":"https://orcid.org/0000-0002-3963-6503"},"institutions":[{"id":"https://openalex.org/I4210088963","display_name":"University of Ha'il","ror":"https://ror.org/013w98a82","country_code":"SA","type":"education","lineage":["https://openalex.org/I4210088963"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Mouataz Billah Mesmouli","raw_affiliation_strings":["Department of Mathematics, College of Science, University of Ha\u2019il, P.O. Box 2240, Ha\u2019il 55473, Saudi Arabia","Department of Mathematics, College of Science, University of Ha'il, P.O. Box 2240, Ha'il 55473, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Science, University of Ha\u2019il, P.O. Box 2240, Ha\u2019il 55473, Saudi Arabia","institution_ids":["https://openalex.org/I4210088963"]},{"raw_affiliation_string":"Department of Mathematics, College of Science, University of Ha'il, P.O. Box 2240, Ha'il 55473, Saudi Arabia","institution_ids":["https://openalex.org/I4210088963"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023428361","display_name":"Mohamed Bouye","orcid":null},"institutions":[{"id":"https://openalex.org/I82952536","display_name":"King Khalid University","ror":"https://ror.org/052kwzs30","country_code":"SA","type":"education","lineage":["https://openalex.org/I82952536"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Mohamed Bouye","raw_affiliation_strings":["Department of Mathematics, College of Science, King Khalid University, P.O. Box 9004, Abha 61413, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Science, King Khalid University, P.O. Box 9004, Abha 61413, Saudi Arabia","institution_ids":["https://openalex.org/I82952536"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5013003394"],"corresponding_institution_ids":["https://openalex.org/I4210088963"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.5023,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.62746694,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"15","issue":"12","first_page":"2178","last_page":"2178"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11564","display_name":"Mathematical Inequalities and Applications","score":1.0,"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":1.0,"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":0.982200026512146,"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":0.9767000079154968,"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/inequality","display_name":"Inequality","score":0.7335401773452759},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7303762435913086},{"id":"https://openalex.org/keywords/quadrature","display_name":"Quadrature (astronomy)","score":0.7079287171363831},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5596017241477966},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.4748031198978424},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.460518479347229},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.39056119322776794},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.35992926359176636},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1306319236755371},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.05178368091583252},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.03900790214538574}],"concepts":[{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.7335401773452759},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7303762435913086},{"id":"https://openalex.org/C62869609","wikidata":"https://www.wikidata.org/wiki/Q28137","display_name":"Quadrature (astronomy)","level":2,"score":0.7079287171363831},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5596017241477966},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4748031198978424},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.460518479347229},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.39056119322776794},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35992926359176636},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1306319236755371},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.05178368091583252},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.03900790214538574},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","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/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/sym15122178","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15122178","pdf_url":"https://www.mdpi.com/2073-8994/15/12/2178/pdf?version=1702044249","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:165fca9787d540b7a651daf27344bc15","is_oa":false,"landing_page_url":"https://doaj.org/article/165fca9787d540b7a651daf27344bc15","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 12, p 2178 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/sym15122178","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15122178","pdf_url":"https://www.mdpi.com/2073-8994/15/12/2178/pdf?version=1702044249","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":0.6399999856948853,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4389559820.pdf"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W68100126","https://openalex.org/W155259267","https://openalex.org/W1523281138","https://openalex.org/W2045342025","https://openalex.org/W2070890284","https://openalex.org/W2094786643","https://openalex.org/W2155067458","https://openalex.org/W2318128071","https://openalex.org/W2364547801","https://openalex.org/W2555558966","https://openalex.org/W2607426767","https://openalex.org/W2619349451","https://openalex.org/W2783464335","https://openalex.org/W2950204448","https://openalex.org/W2955550363","https://openalex.org/W2968467622","https://openalex.org/W2978003572","https://openalex.org/W2990568942","https://openalex.org/W3087475508","https://openalex.org/W3167409357","https://openalex.org/W3206624968","https://openalex.org/W3217577531","https://openalex.org/W4285378685","https://openalex.org/W4293222169","https://openalex.org/W4328031377","https://openalex.org/W6606375086","https://openalex.org/W6748902012","https://openalex.org/W6763319808","https://openalex.org/W6768165808","https://openalex.org/W6782748098","https://openalex.org/W6802717871","https://openalex.org/W6941342486"],"related_works":["https://openalex.org/W1973641256","https://openalex.org/W2047131671","https://openalex.org/W3007838749","https://openalex.org/W2089274067","https://openalex.org/W56994397","https://openalex.org/W1121942432","https://openalex.org/W2181432034","https://openalex.org/W2418069309","https://openalex.org/W4237951173","https://openalex.org/W2376158287"],"abstract_inverted_index":{"In":[0],"this":[1],"article,":[2],"closed":[3],"Newton\u2013Cotes-type":[4],"symmetrical":[5],"inequalities":[6,29],"involving":[7,30],"four-point":[8],"functions":[9],"whose":[10],"second":[11,17],"derivatives":[12],"are":[13,19,33],"(s,m)-preinvex":[14],"in":[15],"the":[16],"sense":[18],"established.":[20],"Some":[21],"applications":[22],"to":[23],"quadrature":[24],"formulas":[25],"as":[26,28],"well":[27],"special":[31],"means":[32],"provided.":[34]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2023-12-12T00:00:00"}
