Stability of the operator of $ \varepsilon$-projection to the set of splines in $ C \lbrack 0,1 \rbrack $
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Publication:4674582
DOI10.1070/IM2003v067n01ABEH000420zbMath1079.41007MaRDI QIDQ4674582
Publication date: 17 May 2005
Published in: Izvestiya: Mathematics (Search for Journal in Brave)
spline functionsmetric projectionoperator of almost best approximation\(\varepsilon\)-selection\(\varepsilon\)-projectioncontinuous \(\varepsilon\)-selection to \(L\)
Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Spline approximation (41A15)
Related Items (13)
Connectedness and other geometric properties of suns and Chebyshev sets ⋮ Continuous \(\epsilon\)-selection and monotone path-connected sets ⋮ Continuous selections in asymmetric spaces ⋮ Continuous selection from the sets of best and near-best approximation ⋮ Continuous selections for metric projection operators and for their generalizations ⋮ Continuous selection for set-valued mappings ⋮ Weakly monotone sets and continuous selection from a near-best approximation operator ⋮ Existence, uniqueness, and stability of best and near-best approximations ⋮ Some applications of geometric theory of approximations ⋮ Approximative properties of sets and continuous selections ⋮ New criteria for the existence of a continuous \(\epsilon\)-selection ⋮ Local approximation properties of sets and continuous selections on them ⋮ Weakly monotone sets and continuous selection in asymmetric spaces
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