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Sharp Constants of Approximation Theory. VI. Weighted Polynomial Inequalities of Different Metrics on the Multidimensional Cube and Ball

Published 16 Mar 2021 in math.CA | (2103.09368v2)

Abstract: We prove limit equalities between the sharp constants in weighted Nikolskii-type inequalities for multivariate polynomials on an $m$-dimensional cube and ball and the corresponding constants for entire functions of exponential type.

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Authors (1)

  1. Michael I. Ganzburg 

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