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Topic: Ask-an-Analysis problem
Replies: 10   Last Post: Apr 25, 2013 1:01 PM

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William Elliot

Posts: 1,232
Registered: 1/8/12
Ask-an-Analysis problem
Posted: Apr 24, 2013 5:19 AM
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Assume for f:[0,1] -> R that there's some c /= 0,1 with
for all x in [0,1/2], f(x) = c.f(2x).

Show there's some k with for all x in [0,1], f(x) = kx.



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