A new proof of a theorem about generalized orthogonal polynomials
Let \(\{p_ n\}\) \((n=0,1,2,...)\) be a sequence of polynomials orthonormal with respect to the measure \(\alpha\). The author gives an alternative proof of an important Nevai's theorem on the asymptotic distribution of the zeros of the polynomials \(\{p_ n\}\) \((n=0,1,2,...)\) by the aid of an old theorem of G. Pólya about the eigenvalues of the Toeplitz matrix.
Nevai's theorem on the asymptotic distribution of the zeros
scientific article; zbMATH DE number 4205093