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Darboux Properties and Applications toNon-Absolutely Convergent Integrals

Published online by Cambridge University Press:  20 November 2018

H. W. Ellis
H. W. Ellis*
Affiliation:
Queen's University
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This paper consists of two parts. The first contains an outline of the theorems and principal results and the second (§§2-6) gives proofs of the theorems and additional details. The theorems concern properties of Darboux continuous functions and functions having generalized Darboux properties. The corresponding results are shown to have interesting applications to the theory of non-absolutely convergent integrals.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 3 , 1951 , pp. 471 - 485
Copyright
Copyright © Canadian Mathematical Society 1951

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