The sharp Jackson inequality in the space \(L_p\) on the sphere

DOI10.1007/BF02674069zbMath1058.41502OpenAlexW2038475023MaRDI QIDQ1972542

Dmitry Gorbachev

Publication date: 3 August 2000

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02674069

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17)

Related Items (5)

Direct and inverse theorems on the approximation of functions by Fourier-Laplace sums in the spaces \(S^{(p,q)}(\sigma^m)\) ⋮ On positive values of spherical harmonics and trigonometric polynomials ⋮ Точное неравенство Джексона в $L_p(\mathbb R^d)$ с весом Данкля ⋮ A sharp Jackson inequality in \(L_p (\mathbb{R}^d)\) with Dunkl weight ⋮ Jackson-type inequalities in the spaces \(S^{(p,q)} (\sigma^{m -1})\)

Cites Work

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• The spaces \(L^ p\), with mixed norm
• Sharp Jackson-Stechkin inequality in \(L^2\) for multidimensional spheres
• Lower bounds for spherical designs

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