Results 271 to 280 of about 1,388,848 (321)

Near Best Tree Approximation

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
openaire   +3 more sources

Best Chebyshev Composite Approximation

SIAM Journal on Numerical Analysis, 1975
In 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.
openaire   +2 more sources

Continuity of Best Hankel Approximation and Convergence of Near-Best Approximants

SIAM Journal on Control and Optimization, 1994
Summary: 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
openaire   +1 more source

EMBEDDING THEOREMS AND BEST APPROXIMATIONS

Mathematics of the USSR-Sbornik, 1975
We 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
openaire   +2 more sources

The Best Interpolating Approximation is a Limit of Best Weighted Approximations

Canadian Mathematical Bulletin, 1982
AbstractUnder 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.
openaire   +1 more source

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