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

Michael I. Ganzburg

paper

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

arXiv:2103.09368

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.

arXiv comment36 pages