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Integrability of Multivariable Continuous Functions Cover

Integrability of Multivariable Continuous Functions

Open Access
|Dec 2025

Abstract

In this article, we prove the integrability of continuous functions on n-dimensional real normed spaces, using the Mizar formalism. Generalizing selected theorems from the Mizar Mathematical Library, we prove the integrability of continuous real n-variable functions and then, using the correspondence between product-type and tuple-type spaces, we demonstrate the integrability of continuous functions on the desired multidimensional spaces.

DOI: https://doi.org/10.2478/forma-2025-0015 | Journal eISSN: 1898-9934 | Journal ISSN: 1426-2630
Language: English
Page range: 185 - 206
Submitted on: Nov 3, 2024
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Accepted on: Dec 12, 2025
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Published on: Dec 31, 2025
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year

© 2025 Noboru Endou, Yasunari Shidama, published by University of Białystok
This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 License.