arXiv:1402.1145 Abstract | arXiv Analytics

arXiv:1402.1145 [math.CA]Abstract References Reviews Resources

On a problem by Steklov

Published 2014-02-05, updated 2015-07-27Version 2

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.

Comments: arXiv admin note: text overlap with arXiv:1308.6614. Several proofs are significantly simplified, typos fixed, references added

Categories: math.CA

Keywords: sharp estimates, steklov condition, steklov class, polynomial entropy, uniform norm

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