On a problem by Steklov
Classical Analysis and ODEs
2015-07-28 v2
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.
Keywords
Cite
@article{arxiv.1402.1145,
title = {On a problem by Steklov},
author = {A. Aptekarev and S. Denisov and D. Tulyakov},
journal= {arXiv preprint arXiv:1402.1145},
year = {2015}
}
Comments
arXiv admin note: text overlap with arXiv:1308.6614. Several proofs are significantly simplified, typos fixed, references added