On some random Riemann-sums
نویسندگان
چکیده
منابع مشابه
A Note on the Convergence of Random Riemann and Riemann-Stieltjes Sums to the Integral
Convergence in probability of random Riemann sums of a Lebesgue integrable function on [0, 1) to the integral has been proved. In this article we generalize the result to an abstract probability space under some natural conditions and we show L1convergence rather than convergence in probability..
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ژورنال
عنوان ژورنال: Tohoku Mathematical Journal
سال: 1956
ISSN: 0040-8735
DOI: 10.2748/tmj/1178244947