The Leibniz Differential and the Perron–Stieltjes Integral
- 作者: Shchepin E.1
-
隶属关系:
- Steklov Mathematical Institute of the Russian Academy of Sciences
- 期: 卷 233, 编号 1 (2018)
- 页面: 157-171
- 栏目: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/241552
- DOI: https://doi.org/10.1007/s10958-018-3932-8
- ID: 241552
如何引用文章
详细
We implement Leibniz’s idea about the differential as the length of an infinitesimally small elementary interval (a monad) in a form satisfying modern standards of rigor. The concept of sequential differential introduced in this paper is shown to be in good alignment with the standard convention of the integral calculus. As an application of this concept we simplify and generalize the construction of the Perron–Stieltjes integral.
作者简介
E. Shchepin
Steklov Mathematical Institute of the Russian Academy of Sciences
编辑信件的主要联系方式.
Email: scepin@mi.ras.su
俄罗斯联邦, Moscow