Direct and inverse results in variable Hilbert scales

DOI10.1016/J.JAT.2008.01.010zbMath1169.41003OpenAlexW2163898559MaRDI QIDQ999267

Peter Mathé, Bernd Hofmann

Publication date: 3 February 2009

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

Full work available at URL: https://doi.org/10.1016/j.jat.2008.01.010

zbMATH Keywords

distance functionsinverse theoremssource conditionsFenchel dualityvariable Hilbert scalesapproximalityJackson and Bernstein-type inequality

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17)

Related Items (7)

On the degree of ill-posedness of multi-dimensional magnetic particle imaging ⋮ Error bounds for spectral enhancement which are based on variable Hilbert scale inequalities ⋮ Modulus of continuity for conditionally stable ill-posed problems in Hilbert space ⋮ Conditional Stability Estimates for Ill-Posed PDE Problems by Using Interpolation ⋮ Modulus of continuity and conditional stability for linear regularization schemes ⋮ A Variant of Projection-Regularization Method for Ill-Posed Linear Operator Equations ⋮ Tikhonov regularization with \({\ell^{0}}\)-term complementing a convex penalty: \({\ell^{1}}\)-convergence under sparsity constraints

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