Recent content by scottneh
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Graduate Proving Integral Convergence with L1 Functions
The problem does not state a definition for h. After searching around on the net I found the exact same equation, namely: f(x+t)+f(x-t)-2f(x) in regards to Fourier analysis but it did't quite cover what the problem is stating. How should I define h? Thanks -
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Graduate Proving Integral Convergence with L1 Functions
Hello, I am preparing for a screening exam and I'm trying to figure out some old problems that I have been given. Given: Suppose f is contained in L1([a,b]) Prove for almost everywhere x is contained in [a,b] limit as h goes to 0+, int (abs(f(x+t)+f(x-t)-2f(x)))dt = 0 Initially I...