{"title":"A PARAMETER-BASED OSTROWSKI TYPE INEQUALITY FOR FUNCTIONS WHOSE DERIVATIVES BELONGS TO Lp([a, b]) INVOLVING MULTIPLE POINTS","authors":"S. Kermausuor","doi":"10.46793/kgjmat2303.445k","DOIUrl":null,"url":null,"abstract":"A new generalization of Ostrowski’s inequality for functions whose derivatives belong to Lp([a, b]) (1 ≤ p < ∞) for k points via a parameter is provided. Some particular integral inequalities are derived as by products. Our results generalize some results in the literature.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":"1 1","pages":""},"PeriodicalIF":1.0000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Kragujevac Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46793/kgjmat2303.445k","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
A new generalization of Ostrowski’s inequality for functions whose derivatives belong to Lp([a, b]) (1 ≤ p < ∞) for k points via a parameter is provided. Some particular integral inequalities are derived as by products. Our results generalize some results in the literature.
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