{"title":"On corrected Simpson-type inequalities via local fractional integrals","authors":"Abdelghani Lakhdari, Badreddine Meftah, Wedad Saleh","doi":"10.1515/gmj-2024-2030","DOIUrl":null,"url":null,"abstract":"The paper discusses corrected Simpson-type inequalities on fractal sets. Based on an introduced identity, we establish some error bounds for the considered formula using the generalized <jats:italic>s</jats:italic>-convexity and <jats:italic>s</jats:italic>-concavity of the local fractional derivative. Finally, we present some graphical representations justifying the established theoretical framework as well as some applications.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1515/gmj-2024-2030","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
The paper discusses corrected Simpson-type inequalities on fractal sets. Based on an introduced identity, we establish some error bounds for the considered formula using the generalized s-convexity and s-concavity of the local fractional derivative. Finally, we present some graphical representations justifying the established theoretical framework as well as some applications.
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