Results 281 to 290 of about 71,359 (311)

Nonlinear Approximation and Muckenhoupt Weights

Constructive Approximation, 2006
In the general atomic setting of an unconditional basis in a (quasi-) Banach space, we show that representing the spaces of m-terms approximation as Lorentz spaces is equivalent to the verification of two inequalities (Jackson and Bernstein), and that the validity of these two properties is equivalent to the Temlyakov property. The proof is very direct
Kerkyacharian, G., Picard, D.
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On the convex approximation of nonlinear inequalities

Optimization, 1974
The present paper deals with sufficient conditions for a system of convex incqualities to be a local approximation of a given arbitrary system in the following sense: the solution set of the first system is tangential to the solution set of the second one at the point under consideration. a criterion is proposed. For the case, in which the given system
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Nonlinear smoothing: approximate algorithms

Applied Mathematics and Computation, 1979
In this paper the method of stochastic linearization is employed to develop new approximate algorithms for nonlinear smoothing. Both fixed-point and fixed-interval smoothing cases are considered. An example is included to illustrate the use of the algorithms.
Chan, W. K., Kumar, K. S. P.
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Discrete Nonlinear Mean Approximation

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1977
AbstractBest approximation on a finite set by a non‐linear family of functions with respect to a general sum “norm”, which includes as a special case the Lp norms (1 < p < ∞), is considered. Properties of best approximations are given. It is shown that a local minimum of the error may not be a global minimum. Computation of best approximations is
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Nonlinear Approximation with Local Fourier Bases

Constructive Approximation, 2000
It is shown that local Fourier bases are unconditional bases for the modulation spaces on \(R\), including the Bessel potential spaces and the Segal algebra \(S_0\). As a consequence, the abstract function spaces that are defined by the approximation properties with respect to a local Fourier basis, are precisely the modulation spaces.
Gröchenig, Karlheinz, Samarah, Salti
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Convex geometry and nonlinear approximation

Proceedings of the IEEE-INNS-ENNS International Joint Conference on Neural Networks. IJCNN 2000. Neural Computing: New Challenges and Perspectives for the New Millennium, 2000
A variety of properties for neural approximation follow from considerations of convexity.
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Smooth Approximations to Nonlinear Complementarity Problems

SIAM Journal on Optimization, 1997
Summary: It is well known that a nonlinear complementarity problem (NCP) can be formulated as a system of nonsmooth equations. \textit{C. Chen} and \textit{O. L. Mangasarian} [Comput. Optim. Appl. 5, No. 2, 97-138 (1996; Zbl 0859.90112)] proposed a class of parametric smooth functions by twice integrating a probability density function.
Bintong Chen, Patrick T. Harker
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Geometrical Optics Approximation for Nonlinear Equations

SIAM Journal on Applied Mathematics, 2004
Summary: A wide class of nonlinear equations is studied in the geometrical optics approximation. It is shown that a nonlinear equation with coefficients dependent on the amplitude of the function sought can be reduced to a system of quasi-linear equations of the gas-dynamics type.
A. A. Maradudin, F. Bass, V. Freilikher, V. Prosentsov   +3 more
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Accurate Approximations for Nonlinear Vibrations

2019
As global issues such as climate change and overpopulation continue to grow, the role of the engineer is forced to adapt. The general population now places an emphasis not only on the performance of a mechanical system, but also the efficiency with which this can be achieved.
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Approximation of the Kushner Equation for Nonlinear Filtering

SIAM Journal on Control and Optimization, 2000
The overwhelming majority of results on numerical approximations of the Kushner and Zakai equations of nonlinear filtering deals with the Zakai equation. It is observed in the paper that the Zakai equation has serious deficiencies as a computational tool and it is proposed to apply the well known operator-splitting method directly to the Kushner ...
Kazufumi Ito, Boris Rozovskii
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