dl积分的基本性质及收敛定理

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 Pub Date : 2019-12-19 DOI:10.1063/1.5139146

Mufti Al Ummam, C. R. Indrati

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摘要

dl积分是riemann型积分，在[2,4]中给出。dl -积分的唯一性以及dl -积分与Henstock积分的关系在文献[4]中已经讨论过，但没有讨论dl -积分的性质和收敛定理。因此，我们证明了dl -积分的一些基本性质和收敛定理。dl积分是riemann型积分，在[2,4]中给出。dl -积分的唯一性以及dl -积分与Henstock积分的关系在文献[4]中已经讨论过，但没有讨论dl -积分的性质和收敛定理。因此，我们证明了dl -积分的一些基本性质和收敛定理。

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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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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

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