Riemann-Stieltjes
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Let a(x)=x^3. From the definition, approximate the Riemann-Stieltjes integral....for each of the following partitions
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This provides an example of approximating the Riemann-Stieltjes integral.
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Dear student
Please find the solution in the attachment.
Solution: Given function f(x) =2x-1 is bounded on [0, 2]. The integrator . We know the partition . So, . The increments and .
So,
The approximate value of the R-S integral is 22.
Let us solve this problem by proving two independent statements.
First we prove that if then
and
To prove this, for a given , there ...
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