Orthogonality - Essay - Mathematics - Prof. Adrian Down
Published:
February 28th, 2012
We would like to approximate a given function b(x) on the interval [−1, 1]
by a polynomial function of the form,
a(x) = u1 u2x . . . unxn−1
In this case, the notion of squared deviation takes the form,
S =
Z 1
−1
(a(x) − b(x))2 dx
We would like to approximate a given function b(x) on the interval [−1, 1]
by a polynomial function of the form,
a(x) = u1 u2x . . . unxn−1
In this case, the notion of squared deviation takes the form,
S =
Z 1
−1
(a(x) − b(x))2 dx
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