Uniform approximation by the highest defect continuous polynomial splines: Necessary and sufficient optimality conditions and their generalisations

DOI10.1007/s10957-010-9715-0zbMath1217.90149OpenAlexW2001432122MaRDI QIDQ613594

Nadezda Sukhorukova

Publication date: 21 December 2010

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-010-9715-0

zbMATH Keywords

nonsmooth optimizationquasidifferentialsChebyshev approximationpolynomial splines with fixed knotsUniform approximation

Mathematics Subject Classification ID

Nonlinear programming (90C30) Optimality conditions and duality in mathematical programming (90C46) Approximation by polynomials (41A10)

Related Items (8)

Chebyshev approximation by linear combinations of fixed knot polynomial splines with weighting functions ⋮ Characterization theorem for best polynomial spline approximation with free knots, variable degree and fixed tails ⋮ The extension of the linear inequality method for generalized rational Chebyshev approximation to approximation by general quasilinear functions ⋮ Multivariate approximation by polynomial and generalized rational functions ⋮ Generalised rational approximation and its application to improve deep learning classifiers ⋮ Finite alternation theorems and a constructive approach to piecewise polynomial approximation in Chebyshev norm ⋮ A generalisation of de la Vallée-Poussin procedure to multivariate approximations ⋮ Characterisation theorem for best polynomial spline approximation with free knots

Cites Work

• Quasidifferentiability and related topics. Dedicated to Prof. Franco Giannessi on his 65th birthday and to Prof. Diethard Pallaschke on his 60th birthday
• A class of weak Chebyshev spaces and characterization of best approximations
• Characterization of Chebyshev Approximations by Splines
• Unnamed Item

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