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Math Help - riemann integrable

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    riemann integrable

    A bounded real valued function on [0,1] which is not Riemann Stieljes integrable with respect to \alpha(x)=x^{2}
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  2. #2
    MHF Contributor chiph588@'s Avatar
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    Quote Originally Posted by Chandru1 View Post
    A bounded real valued function on [0,1] which is not Riemann Stieljes integrable with respect to \alpha(x)=x^{2}
    What's your question?
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    give an example
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    The characteristic function of the rationals.
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    how can we prove it.
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    Well, you can always look at the set of discontinuities - that is, if you've already done the criteria for Riemann integrability which says that a function is integrable if and only if its set of discontinuities has measure zero.
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