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The similarity between the best approximation and the best copositive approximation

Numerical Functional Analysis and Optimization, 1997
In this paper the author studies the copositive approximation in C(ϱ) by elements of finite dimensional Chebyshev subspaces in the general case when ϱ is any totally ordered compact space. He studies the similarity between me behavior of the ordinary best approximation and the behavior pf the copositive best approximation. At the end of this paper, the
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Best Approximation with Coefficient Constraints

IMA Journal of Numerical Analysis, 1988
Let B denote a compact Hausdorff space containing at least \(n+1\) points and let C(B) be the normed linear space of real-valued continuous functions on B endowed with the uniform norm \(\| f\| =\max_{x\in B}| f(x)|.\) Denote by \(U_ n\) an n-dimensional subspace of C(B).
Pinkus, A., Strauss, H.
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Best Approximation with Walsh Atoms

Constructive Approximation, 1997
The author connects the theoretical algorithmic approximation rate in \(L^2 (\overline R)\) for the model case where \(W\) consist of Walsh atoms. The main result stated implies that a linear combination of \(K\) atoms can be approximated to relative error \(e\) with linear combination of \(O(K^2 \log(1/E)\)-orthogonal atoms. In finite dimension \(N\),
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On Padé and Best Rational Approximation

Canadian Mathematical Bulletin, 1983
AbstractIt is reasonable to expect that, under suitable conditions, Padé approximants should provide nearly optimal rational approximations to analytic functions in the unit disc. This is shown to be the case for ez in the sense that main diagonal Padé approximants are shown to converge as expeditiously as best uniform approximants.
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Best approximations by rational functions

Mathematical Notes of the Academy of Sciences of the USSR, 1971
Description of a general class of real continuous functions cn a segment Δ of the real line for which a best rational approximation with complex coefficients is not unique.
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Fractional Derivatives and Best Approximation

Acta Mathematica Hungarica, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Visualization of the best approximation

ACM SIGGRAPH 97 Visual Proceedings: The art and interdisciplinary programs of SIGGRAPH '97 on - SIGGRAPH '97, 1997
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Best kernel approximation in Bergman spaces

Applied Mathematics and Computation, 2022
Wei Qu, Tao Qian, Haichou Li
exaly  

The Best Rank-1 Approximation of a Symmetric Tensor and Related Spherical Optimization Problems

SIAM Journal on Matrix Analysis and Applications, 2012
Xinzhen Zhang, Liqun Qi
exaly  

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