Email this article Analogs of Stokes’s formula for polyhedra
- Authors: Ivanisenko N.1
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Affiliations:
- Donetsk National University
- Issue: Vol 38, No 3 (2017)
- Pages: 443-455
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/199229
- DOI: https://doi.org/10.1134/S1995080217030131
- ID: 199229
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Abstract
In this paper we obtain the results similar to Stokes’s formula, which allow to calculate integral from some differential operator, which working on set functions though values, similar to integral to a subset or border of a simplex of smaller dimension. Using these formulas is possible to improve existing estimates Pompeiu‘s radius for polyhedra in four dimensions.
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About the authors
N. Ivanisenko
Donetsk National University
Author for correspondence.
Email: Ivanisenko.n.s@gmail.com
Ukraine, ul. Universitetskaya 24, Donetsk, 83001
