2.II.18F
(a) Let be a set of polynomials orthogonal with respect to some inner product in the interval . Write explicitly the least-squares approximation to by an th-degree polynomial in terms of the polynomials .
(b) Let an inner product be defined by the formula
Determine the th degree polynomial approximation of with respect to this inner product as a linear combination of the underlying orthogonal polynomials.
Typos? Please submit corrections to this page on GitHub.