Tasawar Abbas, Muhammad Mohsin Saleem Kamboh, Muhammad Sultan, Hafiz Muhammad Waseem Anwar, Ather Qayyum
{"title":"用多步二次核推广Ostrowski型不等式","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":"{\"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}","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}
Generalisation of Ostrowski's type inequalities by using multi-step quadratic kernel
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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