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.

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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
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article

Integrability of Multivariable Continuous Functions

Noboru Endou, Yasunari Shidama
Formalized Mathematics
Advanced Banach Space Theory
article

Integrability of Multivariable Continuous Functions

Noboru Endou, Yasunari Shidama
article en

Abstract

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.

Formalized MathematicsVol. 33(1)
National Institute of Technology, Gifu College (JP)
Openalex Percentile: Top 18%
Advanced Banach Space Theory
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