Hi
Which dot product can be used when dealing with continuous functions or polynomials ? If you know this, you only have to find and such that .
Read this: http://www.stewartcalculus.com/data/...erSeriesEV.pdf
For orthogonal polynomials, try researching the following:
Jacobi polynomials
Gegenbauer polynomials
Legendre polynomials and associated Legendre polynomials
Chebyshev polynomials
Laguerre polynomials
Hermite polynomials