Best approximation and \(K\)-functionals
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Publication:1307330
DOI10.1023/A:1006543020828zbMath0929.41012OpenAlexW1742385330MaRDI QIDQ1307330
Publication date: 31 October 1999
Published in: Acta Mathematica Hungarica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1006543020828
Trigonometric approximation (42A10) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Multidimensional problems (41A63) Linear function spaces and their duals (46E99) Abstract interpolation of topological vector spaces (46M35)
Related Items (22)
Some equivalence theorems with \(K\)-functionals ⋮ Problems and conjectures in approximation that I would like settled ⋮ On the degree of approximation by spherical translations ⋮ Approximation by Riesz means on the rotation group SO(3) ⋮ On approximation by reproducing kernel spaces in weighted \(L^p\) spaces ⋮ Multivariate approximating averages. ⋮ On approximation methods generated by Bochner-Riesz kernels ⋮ Jackson inequality for Banach spaces on the sphere ⋮ Uniform boundedness of \((C,1)\) means of Jacobi expansions in weighted sup norms. I: The main theorems and ideas ⋮ Orthogonal projections and uniformly bounded families of multipliers ⋮ The convergence rate for a \(K\)-functional in learning theory ⋮ Bernstein-Nikolskii inequalities and Riesz interpolation formula on compact homogeneous manifolds ⋮ Sharp Jackson inequalities ⋮ On the saturation ofL p w -approximation by (0-q′-q) type Hermite-Fejér interpolating polynomials ⋮ Combinations of multivariate averages ⋮ Approximation on Banach spaces of functions on the sphere ⋮ A modulus of smoothness on the unit sphere ⋮ Strong converse inequality for Poisson sums ⋮ Ul'yanov and Nikol'skii-type inequalities ⋮ Error analysis of multicategory support vector machine classifiers ⋮ Averages and \(K\)-functionals related to the Laplacian ⋮ Averages on caps of \(S^{d-1}\)
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