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arXiv:2103.09368 [math.CA]AbstractReferencesReviewsResources

Sharp Constants of Approximation Theory. VI. Multivariate Inequalities of Different Metrics for Polynomials and Entire Functions

Michael Ganzburg

Published 2021-03-16Version 1

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.

Comments: 36 pages
Categories: math.CA
Subjects: 41A17, A63, 26D10
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