Discretized Newman-Shapiro operators and Jackson's inequality on the sphere

DOI10.1007/BF03322120zbMath0957.41007MaRDI QIDQ1818231

Manfred Reimer

Publication date: 22 March 2001

Published in: Results in Mathematics (Search for Journal in Brave)

zbMATH Keywords

hyperinterpolationJackson estimatesapproximation on the sphere

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Error analysis and interval analysis (65G99)

Cites Work

• On the de la Vallée-Poussin means on the sphere
• Hyperinterpolation on the sphere at the minimal projection order
• Polynomial interpolation and hyperinterpolation over general regions
• Constructive polynomial approximation on the sphere
• Uniform convergence of spherical harmonic expansions
• Über die Approximationsordnung bei Kugelfunktionen und algebraischen Polynomen
• ON APPROXIMATION OF FUNCTIONS ON THE SPHERE
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