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Analogs of Stokes’s formula for polyhedra


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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.

About the authors

N. Ivanisenko

Donetsk National University

Author for correspondence.
Email: Ivanisenko.n.s@gmail.com
Ukraine, ul. Universitetskaya 24, Donetsk, 83001

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