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On the sharp Jackson-Nikol'skii inequality for algebraic polynomials on a multidimensional Euclidean sphere

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Publication:643734
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DOI10.1134/S0081543809060108zbMath1229.41014MaRDI QIDQ643734

Marina Valer'evna Deikalova

Publication date: 2 November 2011

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)


zbMATH Keywords

algebraic polynomialsmultidimensional Euclidean sphereJackson-Nikol'skii inequality


Mathematics Subject Classification ID

Multidimensional problems (41A63) Rate of convergence, degree of approximation (41A25)


Related Items (4)

Nikolskii constants for polynomials on the unit sphere ⋮ Nikol'skii inequality for algebraic polynomials on a multidimensional Euclidean sphere ⋮ Sharp constants in V. A. Markov-Bernstein type inequalities of different metrics ⋮ Sharp Markov-Nikol'skii inequality with respect to the uniform norm and the integral norm with Chebyshev weight



Cites Work

  • Certain problems of closest approximation


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