{"title":"Basic properties and some convergence theorems of the DL-integral","authors":"Mufti Al Ummam, C. R. Indrati","doi":"10.1063/1.5139146","DOIUrl":null,"url":null,"abstract":"The DL-integral is a Riemann-type integral which is given in [2,4]. The uniqueness of the DL-integral and the relation between the DL-integral and the Henstock integral has already been discussed in [4] but did not discuss the properties and the convergence theorems of the DL-integral. Therefore, we prove the basic properties and some convergence theorems of the DL-integral.The DL-integral is a Riemann-type integral which is given in [2,4]. The uniqueness of the DL-integral and the relation between the DL-integral and the Henstock integral has already been discussed in [4] but did not discuss the properties and the convergence theorems of the DL-integral. Therefore, we prove the basic properties and some convergence theorems of the DL-integral.","PeriodicalId":209108,"journal":{"name":"PROCEEDINGS OF THE 8TH SEAMS-UGM INTERNATIONAL CONFERENCE ON MATHEMATICS AND ITS APPLICATIONS 2019: Deepening Mathematical Concepts for Wider Application through Multidisciplinary Research and Industries Collaborations","volume":"39 7","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-12-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"PROCEEDINGS OF THE 8TH SEAMS-UGM INTERNATIONAL CONFERENCE ON MATHEMATICS AND ITS APPLICATIONS 2019: Deepening Mathematical Concepts for Wider Application through Multidisciplinary Research and Industries Collaborations","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1063/1.5139146","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 DL-integral is a Riemann-type integral which is given in [2,4]. The uniqueness of the DL-integral and the relation between the DL-integral and the Henstock integral has already been discussed in [4] but did not discuss the properties and the convergence theorems of the DL-integral. Therefore, we prove the basic properties and some convergence theorems of the DL-integral.The DL-integral is a Riemann-type integral which is given in [2,4]. The uniqueness of the DL-integral and the relation between the DL-integral and the Henstock integral has already been discussed in [4] but did not discuss the properties and the convergence theorems of the DL-integral. Therefore, we prove the basic properties and some convergence theorems of the DL-integral.
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