{"title":"Some Results about Cauchy Improper Integral","authors":"Arwa A. Hajjari","doi":"10.54216/gjmsa.010201","DOIUrl":null,"url":null,"abstract":"The objective of this paper is to estimate the value of∫_(-1)^1〖f(x)/(x-t)^m dx ;m∈N〗 where f is convex from above and ∫_0^δ〖w(f^((m-1) ),x)/x dx<∞; fis bounded in C^((m-1) ) [-1,1].","PeriodicalId":299243,"journal":{"name":"Galoitica: Journal of Mathematical Structures and Applications","volume":"167 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Galoitica: Journal of Mathematical Structures and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.54216/gjmsa.010201","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
The objective of this paper is to estimate the value of∫_(-1)^1〖f(x)/(x-t)^m dx ;m∈N〗 where f is convex from above and ∫_0^δ〖w(f^((m-1) ),x)/x dx<∞; fis bounded in C^((m-1) ) [-1,1].