|August 8, 2006, 13:05||
Hi dear friends!
We have an interesting question, namely: Is the following sequence possible to construct?
"int_0^L f(x) w0(x) dx = L * <f(x)> " "int_0^L f(x) w1(x) dx = L * <df(x)/dx> " "int_0^L f(x) w2(x) dx = L * <d^2f(x)/dx^2> " ,,, and so on
where w0=1, w1, w2,... are orthogonal polynomials, with w1 of 1 degree, w2 of 2 degree, etc, and f is a function.
Thank you very much, Kémelli
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