Property of monic orthogonal polynomials

Reference no: EM13134511

If {Phi_0, Phi_1, ..., Phi_n,...} are orthogonal polynomials in <. , .> which are normalised to be monic (i.e. have leading coefficient equal to 1) show that ||Phi_k|| <= ||q|| for all monic polynomials q is an element of PI_k which are of exact degree k where || . || is the norm derived from the inner product.

Reference no: EM13134511

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