Nikolskii constants for polynomials on the unit sphere

DOI10.1007/s11854-020-0084-9zbMath1441.41003arXiv1708.09837OpenAlexW3016414259MaRDI QIDQ2177963

Feng Dai, Dmitry Gorbachev, Sergey Yu. Tikhonov

Publication date: 7 May 2020

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.09837

zbMATH Keywords

Paley-Wiener theoremNikolskii inequalities

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Multidimensional problems (41A63) Rate of convergence, degree of approximation (41A25)

Related Items (10)

Sharp constants of approximation theory. V. An asymptotic equality related to polynomials with given Newton polyhedra ⋮ Константы Никольского в пространствах $L^{p}(\mathbb{R},|x|^{2\alpha+1}\,dx)$ ⋮ Inequalities on weighted Paley-Wiener space with respect to doubling weights and \(A_\infty\) weights ⋮ Sharp constants of approximation theory. IV: Asymptotic relations in general settings ⋮ Sharp constants of approximation theory. II. Invariance theorems and certain multivariate inequalities of different metrics ⋮ Estimates of the asymptotic Nikolskii constants for spherical polynomials ⋮ Sharp constants of approximation theory. I. Multivariate Bernstein-Nikolskii type inequalities ⋮ Bounds of the Nikol'skii polynomial constants in \(L^p\) with Gegenbauer weight ⋮ Unnamed Item ⋮ Sharp constants of approximation theory. VI: weighted polynomial inequalities of different metrics on the multidimensional cube and ball

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