Title of article
A random approach to the Lebesgue integral
Author/Authors
Jack Grahl، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2008
Pages
8
From page
358
To page
365
Abstract
We construct an integral of a measurable real function using randomly chosen Riemann sums and show that it converges in
probability to the Lebesgue integral where this exists. We then prove some conditions for the almost sure convergence of this
integral.
© 2007 Published by Elsevier Inc
Keywords
Riemann integration , Real function , Random variable , Lebesgue integration
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2008
Journal title
Journal of Mathematical Analysis and Applications
Record number
936748
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