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Math Help - R - S integrals of bounded function

  1. #1
    ssh
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    R - S integrals of bounded function

    Let α be of bounded variation on [a,b]. let V(n) be the total variation of α on [a,x] and let V(a)=0 . if f Є R(α), prove that f Є R(V)?Let α be of bounded variation on [a,b]. let V(n) be the total variation of α on [a,x] and let V(a)=0 . if f Є R(α), prove that f Є R(V)?

    Now how do i show that U(P,f,V) - L(P,f,V) < ε, and how does the info V(a) = 0 help here?

    thanx
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  2. #2
    Super Member girdav's Avatar
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    Re: R - S integrals of bounded function

    Sorry, what is R(V)?
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  3. #3
    ssh
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    Re: R - S integrals of bounded function

    R(V) means that a function is reimann integrable. Like f is reimann integrable on alpha
    Last edited by ssh; June 29th 2012 at 04:38 AM.
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  4. #4
    ssh
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    Re: R - S integrals of bounded function

    Is there anyone who can help me with this?

    Thanx
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