Uniqueness and strong uniqueness of best approximations by spline subspaces and other subspaces
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Publication:1836058
DOI10.1016/0022-247X(82)90051-8zbMath0505.41018MaRDI QIDQ1836058
Ivan Singer, Günther Nürnberger
Publication date: 1982
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Uniqueness of best approximation (41A52) Spline approximation (41A15)
Related Items (13)
Approximation by generalized splines ⋮ The prevalence of strong uniqueness in \(L^ 1\) ⋮ Strong unicity in normed linear spaces ⋮ Strong uniqueness and Lipschitz continuity of metric projections: A generalization of the classical Haar theory ⋮ Strong uniqueness of best approximations in an abstract \(L_ 1\) space ⋮ Strong uniqueness of best spline approximation for a class of piecewise N-convex functions ⋮ Alternation for best spline approximations ⋮ Strong unicity of best approximations : A numerical aspect ⋮ On nonexistence of strongly unique best approximations ⋮ Nonuniqueness and selections in spline approximation ⋮ Approximation in normed linear spaces ⋮ Order of strong uniqueness in best \(L_ \infty\)-approximation by spline spaces ⋮ Uniqueness of best Chebyshev approximations in spline subspaces
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