On a problem by Steklov
arXiv:1402.1145
Abstract
We obtain the sharp estimates on the growth of the uniform norm of orthonormal polynomials for measures satisfying the Steklov condition. This improves the earlier results by Rakhmanov and completely settles a problem by Steklov. The sharp estimates for the polynomial entropy in the Steklov class are obtained as well.
arXiv admin note: text overlap with arXiv:1308.6614. Several proofs are significantly simplified, typos fixed, references added