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bounded variation
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seeyou_eye@hotmail.com
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Joined: 21 Apr 2006
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PostPosted: Fri Apr 21, 2006 12:09 pm    Post subject: bounded variation Reply with quote
Is this function of bounded variation on [0,1]?
f(x)= (x^a)* sin(1/x) if x/=0,f(0)=0 ,where 1<a<2
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David C. Ullrich
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Joined: 28 Apr 2005
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PostPosted: Sat Apr 22, 2006 3:15 pm    Post subject: Re: bounded variation Reply with quote
On 21 Apr 2006 08:09:23 -0400, seeyou_eye@hotmail.com wrote:

Quote:

Is this function of bounded variation on [0,1]?
f(x)= (x^a)* sin(1/x) if x/=0,f(0)=0 ,where 1<a<2

Yes. (What's the integral of |f'| ?)


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