Abstract
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.
Recommended Citation
J. C. Keffer and C. V. Stanojevic, "The Lebesgue Integral As The Almost Sure Limit Of Random Riemann Sums," Proceedings of the American Mathematical Society, vol. 85, no. 3, pp. 389 - 392, American Mathematical Society, Jan 1982.
The definitive version is available at https://doi.org/10.1090/S0002-9939-1982-0656109-X
Department(s)
Mathematics and Statistics
Keywords and Phrases
Lebesgue integral; Martingales; Random Riemann sums
International Standard Serial Number (ISSN)
1088-6826; 0002-9939
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2023 American Mathematical Society, All rights reserved.
Publication Date
01 Jan 1982
