A note on the equivalences between the averages and the \(K\)-functionals related to the Laplacian

DOI10.1016/j.jat.2004.01.011zbMath1052.41004OpenAlexW2138873086MaRDI QIDQ1881673

Feng Dai, Kunyang Wang

Publication date: 14 October 2004

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2004.01.011

zbMATH Keywords

\(K\)-functionalshigh order averagesstrong converse inequalities of type A

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Rate of convergence, degree of approximation (41A25)

Related Items (3)

Characterizations of Sobolev spaces via averages on balls ⋮ Recent progress on spherical harmonic approximation made by BNU research group ⋮ Function Spaces of Logarithmic Smoothness: Embeddings and Characterizations

Cites Work

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• Averages and \(K\)-functionals related to the Laplacian
• Fractional derivatives and best approximations
• A Measure of Smoothnes Related to the Laplacian
• Approximation by Bernstein Polynomials
• Strong converse inequalities

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