Tasawar Abbas, Muhammad Mohsin Saleem Kamboh, Muhammad Sultan, Hafiz Muhammad Waseem Anwar, Ather Qayyum
{"title":"Generalisation of Ostrowski's type inequalities by using multi-step quadratic kernel","authors":"Tasawar Abbas, Muhammad Mohsin Saleem Kamboh, Muhammad Sultan, Hafiz Muhammad Waseem Anwar, Ather Qayyum","doi":"10.1504/ijans.2023.133724","DOIUrl":null,"url":null,"abstract":"The purpose of this paper is to provide a better version of Ostrowski's type integral inequalities. The inequalities are obtained by using a newly developed special type of nine-step quadratic kernel. The introduction of this new kernel gives some new error bounds for various quadrature rules. Applications for composite quadrature rules are also considered.","PeriodicalId":53168,"journal":{"name":"International Journal of Applied Nonlinear Science","volume":"21 1","pages":"0"},"PeriodicalIF":0.1000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Applied Nonlinear Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1504/ijans.2023.133724","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
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Abstract
The purpose of this paper is to provide a better version of Ostrowski's type integral inequalities. The inequalities are obtained by using a newly developed special type of nine-step quadratic kernel. The introduction of this new kernel gives some new error bounds for various quadrature rules. Applications for composite quadrature rules are also considered.
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