Integrability of Multivariable Continuous Functions
Summary 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.
Authors
- Noboru Endou (ORCID: https://orcid.org/0000-0002-5922-2332)
- Yasunari Shidama (ORCID: https://orcid.org/0000-0001-5634-0838)
Institutions
- National Institute of Technology, Gifu College (JP)
Publication Details
- Journal
- Formalized Mathematics
- Published
- 2025-09-01
- DOI
- https://doi.org/10.2478/forma-2025-0015
- Primary Topic
- Advanced Banach Space Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00