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Trudy Instituta Matematiki, 2012, Volume 20, Number 1, Pages 22–32 (Mi timb159)  
An approach to the Lebesgue integral by means of outer integral norm

V. I. Bakhtin

Institute of Mathematics of the National Academy of Sciences of Belarus
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Abstract: Here we propose a new definition for the Lebesgue integral, based on an outer integral norm. It provides an easy way to prove the standard Levi, Fatou, Lebesgue, and Riesz theorems.
Received: 20.03.2012
Document Type: Article
UDC: 517.518.122
Language: Russian
Citation: V. I. Bakhtin, “An approach to the Lebesgue integral by means of outer integral norm”, Tr. Inst. Mat., 20:1 (2012), 22–32
Citation in format AMSBIB
\Bibitem{Bak12}
\by V.~I.~Bakhtin
\paper An approach to the Lebesgue integral by means of outer integral norm
\jour Tr. Inst. Mat.
\yr 2012
\vol 20
\issue 1
\pages 22--32
\mathnet{http://mi.mathnet.ru/timb159}
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