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Integral of Continuous Functions of Two Variables Cover

Integral of Continuous Functions of Two Variables

Open Access
|Dec 2023

Abstract

We extend the formalization of the integral theory of one-variable functions for Riemann and Lebesgue integrals, showing that the Lebesgue integral of a continuous function of two variables coincides with the Riemann iterated integral of a projective function.

DOI: https://doi.org/10.2478/forma-2023-0025 | Journal eISSN: 1898-9934 | Journal ISSN: 1426-2630
Language: English
Page range: 309 - 324
Accepted on: Dec 18, 2023
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Published on: Dec 31, 2023
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year

© 2023 Noboru Endou, Yasunari Shidama, published by University of Białystok
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.