The direct and converse inequalities for Jackson-type operators on spherical cap

DOI10.1155/2009/205298zbMath1187.41009arXiv1409.3807OpenAlexW3105776948WikidataQ59219722 ScholiaQ59219722MaRDI QIDQ962417

Feilong Cao, Yu Guang Wang

Publication date: 7 April 2010

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.3807

zbMATH Keywords

Bernstein-type theoremsJackson operatorsinverse theorems on the sphere

Mathematics Subject Classification ID

Approximation by operators (in particular, by integral operators) (41A35)

Related Items (1)

The convergence rate for a \(K\)-functional in learning theory

Cites Work

• Generating functions for the mean value of a function on a sphere and its associated ball in \(\mathbb{R}^{n}\)
• A theorem concerning approximation on the sphere
• Steckin-Marchaud-type inequalities in connection with Bernstein polynomials
• Functional spaces on the sphere, related with approximation theory
• Multivariate approximating averages.
• Spherical harmonics
• Lipschitz spaces on compact manifolds
• On summation processes of Fourier expansions in Banach spaces. II: Saturation theorems
• Limitierungsverfahren von Reihen mehrdimensionaler Kugelfunktionen und deren Saturationsverhalten
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