A NEW RANDOM APPROACH TO
THE LEBESGUE INTEGRAL
Elham Dastranj$^1$, Reza Hejazi$^2$
Department of Pure Mathematics
Faculty of Mathematical Sciences
Shahrood University of Technology
P.O. Box: 203-2308889030, Shahrood, IRAN
Abstract. In this paper a new method is given for generating the Lebesgue integral. For the corresponding random Riemann sums it is shown that they converge to the Lebesgue integral in probability.
AMS Subject classification: 60Hxx, 60Bxx, 60Gxx
Keywords and phrases: Lebesgue integral, Riemann sums, random Riemann sums


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DOI: 10.12732/ijam.v26i6.5

Volume: 26
Issue: 6
Year: 2013