Nikol'skii inequality for algebraic polynomials on a multidimensional Euclidean sphere
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Publication:483400
DOI10.1134/S0081543814020023zbMath1315.41003MaRDI QIDQ483400
Vitalii Arestov, Marina Valer'evna Deikalova
Publication date: 17 December 2014
Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)
algebraic polynomialsmultidimensional Euclidean sphereNikol'skii inequalitypolynomials that deviate least from zero
Related Items (14)
ON ONE INEQUALITY OF DIFFERENT METRICS FOR TRIGONOMETRIC POLYNOMIALS ⋮ Nikolskii constants for polynomials on the unit sphere ⋮ A generalized translation operator generated by the sinc function on an interval ⋮ Nikol'skii inequality between the uniform norm and \(L_q\)-norm with ultraspherical weight of algebraic polynomials on an interval ⋮ On one generalized translation and the corresponding inequality of different metrics ⋮ Quadrature formulas with variable nodes and Jackson-Nikolskii inequalities for rational functions ⋮ A CHARACTERIZATION OF EXTREMAL ELEMENTS IN SOME LINEAR PROBLEMS ⋮ Sharp constants in V. A. Markov-Bernstein type inequalities of different metrics ⋮ Sharp quadrature formulas and inequalities between various metrics for rational functions ⋮ Sharp Markov-Nikol'skii inequality with respect to the uniform norm and the integral norm with Chebyshev weight ⋮ Sharp constants of approximation theory. II. Invariance theorems and certain multivariate inequalities of different metrics ⋮ Estimates of the asymptotic Nikolskii constants for spherical polynomials ⋮ Bounds of the Nikol'skii polynomial constants in \(L^p\) with Gegenbauer weight ⋮ Sharp constants of approximation theory. VI: weighted polynomial inequalities of different metrics on the multidimensional cube and ball
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