{"title":"Maclaurin’s inequalities for functions whose first derivatives are preinvex","authors":"B. Meftah, Nouha Allel","doi":"10.48185/jmam.v3i2.449","DOIUrl":null,"url":null,"abstract":"In this paper, using a new identity, we study one of the famous Newton-Cotes three-point quadraturerules. More precisely Maclaurin’s quadrature rule, for which we establish the error estimate of this methodunder the constraint that the first derivatives belong to the class of preinvex functions. We also give someapplications to special means as applications. We believe that this new studied inequality and the resultsobtained in this article will further inspire intrigued researchers.","PeriodicalId":393347,"journal":{"name":"Journal of Mathematical Analysis and Modeling","volume":"46 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical Analysis and Modeling","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.48185/jmam.v3i2.449","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
In this paper, using a new identity, we study one of the famous Newton-Cotes three-point quadraturerules. More precisely Maclaurin’s quadrature rule, for which we establish the error estimate of this methodunder the constraint that the first derivatives belong to the class of preinvex functions. We also give someapplications to special means as applications. We believe that this new studied inequality and the resultsobtained in this article will further inspire intrigued researchers.