The sharp estimates on the orthogonal polynomials from the Steklov class

2013/08/29 by A. Aptekarev, Alexander Ivanovich Aptekarev, S. Denisov +6 · 1 citation
Mathematics · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Mathematical Approximation and Integration #Mathematical functions and polynomials #math.CA

paper · pdf · doi:10.48550/arxiv.1308.6614

arxiv created 2013/08/29 · openalex publication_date 2013/08/29 · arxiv updated 2013/09/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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• On a problem by Steklov

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