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A novel approximation of underwater robotic vehicle controller exploiting multi-point matching. [PDF]
Yadav UK, Singh VP, Fortuna L, Sahu UK.
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On Sampling-Times-Independent Identification of Relaxation Time and Frequency Spectra Models of Viscoelastic Materials Using Stress Relaxation Experiment Data. [PDF]
Stankiewicz A +2 more
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Properties of best approximations with respect to Ky Fan $p$-$k$ norm, and strict spectral approximants of a matrix [PDF]
Priyanka Grover, Krishna Kumar Gupta
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Advances in Computational Mathematics, 2002
Tree approximation is a new form of nonlinear wavelet approximation. The distinction between tree approximation and the familiar \(n\)-term wavelet approximation is that the wavelets appearing in the approximant are required to align themselves in a certain connected tree structure.
Baraniuk, R. G. +7 more
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Tree approximation is a new form of nonlinear wavelet approximation. The distinction between tree approximation and the familiar \(n\)-term wavelet approximation is that the wavelets appearing in the approximant are required to align themselves in a certain connected tree structure.
Baraniuk, R. G. +7 more
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Best Chebyshev Composite Approximation
SIAM Journal on Numerical Analysis, 1975In this paper a theory unifying the concepts of best product Chebyshev approximation and best rational product approximation is presented. Also computational aspects of the two concepts are discussed, and some comparisons are made.
Brown, J. A., Henry, M. S.
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Continuity of Best Hankel Approximation and Convergence of Near-Best Approximants
SIAM Journal on Control and Optimization, 1994Summary: Consider a bounded Hankel operator \(\Gamma\) with \(s\)-numbers \(s_ 0\geq s_ 1\geq\cdots\) and a sequence of bounded Hankel operators \(\Gamma_ n\) converging to \(\Gamma\) in the operator norm. In this paper, it is shown that for each \(k\) with \(s_{k-1}> s_ k\geq s_{k+1}\geq\cdots\), the rational symbols of the best rank-\(k\) Hankel ...
Chui, Charles K., Li, Xin
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EMBEDDING THEOREMS AND BEST APPROXIMATIONS
Mathematics of the USSR-Sbornik, 1975We establish necessary and sufficient conditions, in terms of best approximations, for a function in () to belong to (p$ SRC=http://ej.iop.org/images/0025-5734/26/2/A04/tex_sm_2477_img4.gif/>). The proofs depend on the properties of equimeasurable functions, which were applied by Ul'janov in the theory of the embedding of certain classes for (MR 37
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The Best Interpolating Approximation is a Limit of Best Weighted Approximations
Canadian Mathematical Bulletin, 1982AbstractUnder appropriate conditions it is shown that the best interpolating approximation to a given function in the uniform norm is a limit of best unconstrained approximations with respect to a certain sequence of discontinuous weight functions.
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