{"title":"Refinement of the general form of the two-point quadrature formulas via convexity","authors":"D. C. Benchettah, A. Lakhdari, B. Meftah","doi":"10.2478/jamsi-2023-0006","DOIUrl":null,"url":null,"abstract":"Abstract In this paper, we look at the general form of the two-point quadrature formulas, which doesn’t have to be symmetric. Under the convexity constraint of the first derivative, we propose a new scheme that gives the best approximation of the two-point quadrature rules.","PeriodicalId":43016,"journal":{"name":"Journal of Applied Mathematics Statistics and Informatics","volume":"19 1","pages":"93 - 101"},"PeriodicalIF":0.3000,"publicationDate":"2023-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Applied Mathematics Statistics and Informatics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2478/jamsi-2023-0006","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 1
Abstract
Abstract In this paper, we look at the general form of the two-point quadrature formulas, which doesn’t have to be symmetric. Under the convexity constraint of the first derivative, we propose a new scheme that gives the best approximation of the two-point quadrature rules.