{"title":"对于导数属于Lp([A, b])的函数的一个基于参数的OSTROWSKI型不等式","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":"{\"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}","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}
A PARAMETER-BASED OSTROWSKI TYPE INEQUALITY FOR FUNCTIONS WHOSE DERIVATIVES BELONGS TO Lp([a, b]) INVOLVING MULTIPLE POINTS
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.