{"title":"关于通过局部分数积分修正的辛普森式不等式","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":"{\"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}","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
摘要
本文讨论了分形集上的修正辛普森式不等式。基于引入的特性，我们利用局部分形导数的广义 s 凸性和 s 凹性为所考虑的公式建立了一些误差边界。最后，我们给出了一些图形表示，证明了所建立的理论框架以及一些应用。
On corrected Simpson-type inequalities via local fractional integrals
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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