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

DOI10.1007/S00365-022-09587-0arXiv2103.09368WikidataQ114229751 ScholiaQ114229751MaRDI QIDQ6363032

Publication date: 16 March 2021

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.

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Multidimensional problems (41A63) Inequalities involving derivatives and differential and integral operators (26D10)

This page was built for publication: Sharp Constants of Approximation Theory. VI. Weighted Polynomial Inequalities of Different Metrics on the Multidimensional Cube and Ball

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6363032)