An extrapolation theorem for nonlinear approximation and its applications

DOI10.1016/j.jat.2006.04.001zbMath1106.41021OpenAlexW2165037137MaRDI QIDQ863340

Feng Dai

Publication date: 26 January 2007

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

Full work available at URL: https://doi.org/10.1016/j.jat.2006.04.001

zbMATH Keywords

interpolationweighted Besov classes\(m\)- term approximationspherical widths

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Approximation by arbitrary linear expressions (41A45)

Related Items (1)

Kolmogorov and linear widths of weighted Besov classes

Cites Work

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• On trigonometric n-widths and their generalization
• Kolmogorov and linear widths of weighted Besov classes
• Trigonometric diameters of the Sobolev classes \(W^ r_ p\) in the space \(L_ q\)
• On approximation properties of complete orthonormal systems
• Greedy algorithm and \(m\)-term trigonometric approximation
• Fractional derivatives and best approximations
• Nonlinear approximation by trigonometric sums
• Nonlinear methods of approximation
• Greedy-type approximation in Banach spaces and applications
• Decomposition theorems and approximation by a “floating" system of exponentials
• Sommes De Cesaro Et Multiplicateurs Des Developpements en Harmoniques Spheriques

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