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Jul 10, 2018 at 0:15 comment added Gerry Myerson It looks like you are trying to estimate an integral by an average of the function over a finite set. There are theorems bounding the difference between integrals and sums in terms of the total variation of the function and the discrepancy of the finite set. See Kuipers & Niederreiter, Uniform Distribution of Sequences.
Jul 9, 2018 at 15:20 history asked user111097 CC BY-SA 4.0