![E = \{ f \in C^1([0,1]) \;|\; f(0) = 0 \text{ and } f(1) =1 \}](/cz/latexrender/pictures/11275d3c5ebb58e9d220288083757951.png "E = \{ f \in C^1([0,1]) \;|\; f(0) = 0 \text{ and } f(1) =1 \}")
such that
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3 Responses to “A random problem”
October 1st, 2007 at 3:52 pm
and the answer is ….
October 1st, 2007 at 6:54 pm
I don’t know. Thought someone else might get it.
October 30th, 2007 at 3:38 pm
There is no greatest m.
Take for example the function the sequence of functions
f(x) = sin( n x (4n+1)pi/2 )
where n is a positive integer.
Each has f(0) = 0 and f(1) = 1 but as n increases,
the integral increases.
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