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Full-Text Articles in Physical Sciences and Mathematics
The Lebesgue Integral As The Almost Sure Limit Of Random Riemann Sums, John C. Keffer, Caslav V. Stanojevic
The Lebesgue Integral As The Almost Sure Limit Of Random Riemann Sums, John C. Keffer, Caslav V. Stanojevic
Mathematics and Statistics Faculty Research & Creative Works
A method is given for generating random intermediate points for a sequence of partitions. For the corresponding random Riemann sums it is shown that they converge almost surely to the Lebesgue integral. © 1982 American Mathematical Society.