The Lipschitz constant of the operator of best approximation
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Publication:3898960
DOI10.1007/BF01896844zbMath0452.41022OpenAlexW2022660882MaRDI QIDQ3898960
Publication date: 1980
Published in: Acta Mathematica Academiae Scientiarum Hungaricae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01896844
Related Items (13)
Local and global Lipschitz constants ⋮ Dependence on p of the best \(L^ p\) approximation operator ⋮ Interpolatory properties of best rational \(L_ 1\)-approximations ⋮ Local Lipschitz and strong unicity constants for certain nonlinear families ⋮ On the distribution of points of maximal deviation in complex Cebysev approximation ⋮ On a conjecture concerning strong unicity constants ⋮ Local Lipschitz constants and Kolushov polynomials ⋮ Bounds for extended Lipschitz constants ⋮ On the distribution of the points of Chebyshev alternation with applications to strong unicity constants ⋮ Unboundedness of the Lipschitz constants of best polynomial approximation ⋮ Limits of strong unicity constants for certain \(C^{\infty}\) functions ⋮ Local Lipschitz constants ⋮ Lipschitz continuity and strong unicity in G. Freud's work
Cites Work
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- A comparison of uniform and discrete polynomial approximation
- Smoothness of approximation
- Some theorems on Cebysev approximation
- On the uniform modulus of continuity of the operator of best approximation in the space of periodic functions
- Counterexamples in Best Approximation
- The continuity of best approximations
- Differential properties of the operator of best approximation
- On the continuity of best approximations in the space of integrable functions
- Piecewise monotone polynomial interpolation
- Lipschitz and strong unicity constants for changing dimension
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