Abstract
Our objective here is to prove that the uniform convergence of a sequence of Kurzweil integrable functions implies the convergence of the sequence formed by its corresponding integrals.
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Kurzweil integral for Riesz space-valued functions: Uniform convergence theorem
G. Monteiro / R. Fernandez
Published Online: 2011-12-31 | DOI: https://doi.org/10.2478/s12175-011-0067-5
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About the article
Published Online: 2011-12-31
Published in Print: 2012-02-01
Citation Information: Mathematica Slovaca, Volume 62, Issue 1, Pages 17–24, ISSN (Online) 1337-2211, ISSN (Print) 0139-9918, DOI: https://doi.org/10.2478/s12175-011-0067-5.
© 2012 Mathematical Institute, Slovak Academy of Sciences. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0
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