I'm kinda confused about Legendre Polynomial.
SO if i was to calculate the orthogonal polynomials int eh interval [0,1]
can't i do soemthing like this:
p0 = 1
p1 = x - c0 p0
such that Integral p0p1 over the interval [0, 1] shd be zero. After solving for p1 I get
c0 = 1/2
p1 = x - 1/2
but the actual shifted legendre polynomial for p1 = (1-2t)
I don't understand as to how to calculate orthonormal/orthogonal polynomials in a particular interval. I'd really appreciate if someone could explain me the subtleties of the gram-schmidt.