arXiv subjects

D. Tulyakov

Publications and source records attributed to D. Tulyakov.

2 recordsLinked to original sources

arXiv2015

On a problem by Steklov

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.

math.CA↗

arXiv2013

The sharp estimates on the orthogonal polynomials from the Steklov class

We obtain the sharp lower bound for the uniform norm of the orthogonal polynomials in the Steklov class. We also prove the sharp estimates for the polynomial entropy in this class.

math.CA↗