{"title":"加权ostrowski - gr<s:1>型不等式的估计及其应用","authors":"Muhammad Awais Shaikh, Asif R Khan, F. Mehmood","doi":"10.1515/anly-2021-0044","DOIUrl":null,"url":null,"abstract":"Abstract In the present paper, some error bounds for weighted Ostrowski–Grüss type inequalities are found by using the weighted Čebyšev functional and Diaz–Metcalf inequality. These bounds give some better and new estimates. Applications are also obtained for numerical integration. Furthermore, this paper recaptures some previous established results as its special cases.","PeriodicalId":82310,"journal":{"name":"Philosophic research and analysis","volume":"1 1","pages":"159 - 169"},"PeriodicalIF":0.0000,"publicationDate":"2022-06-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Estimates for weighted Ostrowski–Grüss type inequalities with applications\",\"authors\":\"Muhammad Awais Shaikh, Asif R Khan, F. Mehmood\",\"doi\":\"10.1515/anly-2021-0044\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract In the present paper, some error bounds for weighted Ostrowski–Grüss type inequalities are found by using the weighted Čebyšev functional and Diaz–Metcalf inequality. These bounds give some better and new estimates. Applications are also obtained for numerical integration. Furthermore, this paper recaptures some previous established results as its special cases.\",\"PeriodicalId\":82310,\"journal\":{\"name\":\"Philosophic research and analysis\",\"volume\":\"1 1\",\"pages\":\"159 - 169\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-06-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Philosophic research and analysis\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1515/anly-2021-0044\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Philosophic research and analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/anly-2021-0044","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Estimates for weighted Ostrowski–Grüss type inequalities with applications
Abstract In the present paper, some error bounds for weighted Ostrowski–Grüss type inequalities are found by using the weighted Čebyšev functional and Diaz–Metcalf inequality. These bounds give some better and new estimates. Applications are also obtained for numerical integration. Furthermore, this paper recaptures some previous established results as its special cases.
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