On a problem by Steklov
classification
🧮 math.CA
keywords
steklovestimatesproblemsharpclasscompletelyconditionearlier
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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.
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