Jackson inequality for Banach spaces on the sphere

DOI10.1007/S10474-007-6206-3zbMath1164.41012OpenAlexW1982448974MaRDI QIDQ949771

Z. Ditzian, Feng Dai

Publication date: 21 October 2008

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-007-6206-3

zbMATH Keywords

best approximationspherical harmonic polynomials

Mathematics Subject Classification ID

Multidimensional problems (41A63) Rate of convergence, degree of approximation (41A25)

Related Items (11)

Problems and conjectures in approximation that I would like settled ⋮ Best Polynomial Approximation on the Unit Sphere and the Unit Ball ⋮ Essential rate for approximation by spherical neural networks ⋮ Rearrangement invariance and relations among measures of smoothness ⋮ Absolutely convergent expansions ⋮ New moduli of smoothness on the unit ball and other domains, introduction and main properties ⋮ Cubature Formulas and Discrete Fourier Transform on Compact Manifolds ⋮ The convergence rate for a \(K\)-functional in learning theory ⋮ Moduli of smoothness and approximation on the unit sphere and the unit ball ⋮ Jackson theorem in \(L_p\), \(0<p<1\), for functions on the sphere ⋮ A SURVEY OF POLYNOMIAL APPROXIMATION ON THE SPHERE

Cites Work

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• Combinations of multivariate averages
• Fractional derivatives and best approximations
• Best approximation and \(K\)-functionals
• Multivariate approximating averages.
• Approximation of smooth functions on compact two-point homogeneous spaces
• Some equivalence theorems with \(K\)-functionals
• Jackson-type inequality on the sphere
• Approximation on Banach spaces of functions on the sphere
• Sommes De Cesaro Et Multiplicateurs Des Developpements en Harmoniques Spheriques
• A modulus of smoothness on the unit sphere

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