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Some Applications of a Theorem of Marcinkiewicz
Published online by Cambridge University Press: 20 November 2018
Abstract
A classical theorem of Marcinkiewicz states that a function is Perron integrable iff it has one continuous major and one continuous minor function. Using an elaboration of this remarkable theorem three applications are made; to obtain a new proof of a recent characterization of the Perron integral, to proofs of some theorems on interchange of limits and integration and to extend classical existence theorems for ordinary differential equations.
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- Research Article
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- Copyright © Canadian Mathematical Society 1991
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