Differential properties of the operator of best approximation
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Publication:4183171
DOI10.1007/BF01896197zbMath0398.41020OpenAlexW1967691735MaRDI QIDQ4183171
Publication date: 1978
Published in: Acta Mathematica Academiae Scientiarum Hungaricae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01896197
Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)
Related Items (13)
Local and global Lipschitz constants ⋮ Dependence on p of the best \(L^ p\) approximation operator ⋮ Differential properties of the operator of best approximation of continuous functions by rational fractions ⋮ The strong derivative of the best approximation operator ⋮ Local Lipschitz and strong unicity constants for certain nonlinear families ⋮ Differential properties of the operator of best approximation by rational fractions ⋮ Local Lipschitz constants and Kolushov polynomials ⋮ Lipschitz continuity and Gateaux differentiability of the best approximation operator in vector-valued Chebyshev approximation ⋮ The Lipschitz constant of the operator of best approximation ⋮ Differentiability of the best approximation operator ⋮ The metric projection on the class \(H(\Omega)\) satisfies Lipschitz condition ⋮ Local Lipschitz constants ⋮ On differentiability of the operator of best \(L_ 1\)-approximation
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