{"title":"dl积分的基本性质及收敛定理","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":"{\"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}","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}
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.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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