Results 1 to 10 of about 1,545,364 (282)

THE RATE OF BEST APPROXIMATION FOR ENTIRE FUNCTIONS

Analysis, 1985
The rate of best polynomial approximation of an entire function f on a compact Faber set K in the complex plane is characterized in terms of the Taylor- and Faber-coefficients of f and in terms of the maximum norms of the derivatives of f on K. Emphasis is placed on high precision in describing the rate of approximation, i.e.
Freund, M., Görlich, E.
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Optimal approximation rates for Lipschitz controls

Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187), 2002
For nonlinear nonconvex control systems we investigate the approximation properties of Lipschitz controls. In case that the control range is connected, any trajectory produced by a measurable control can be approximated by trajectories produced by Lipschitz controls. The approximation is of order O(M/sup -1/2/), where M is the Lipschitz constant.
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CONVERGENCE RATES IN APPROXIMATING A COMPOUND DISTRIBUTION

Probability in the Engineering and Informational Sciences, 2004
In connection with the classical insurance risk problem, Ross [2] develops a recursive formula for approximating a tail probability in a geometrically compounded distribution. Here, we consider rates of convergence for this approximation.
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MONOAMINE OXIDASE: AN APPROXIMATION OF TURNOVER RATES

Journal of Neurochemistry, 1971
AbstractOne hour after the intravenous injection of pargyline (10 mg/kg), the activity of monoamine oxidase (EC 1.4.3.4) in various brain regions, in the submaxillary gland and in the superior cervical ganglion of the rat was inhibited by about 95 per cent.
C, Goridis, N H, Neff
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On the Rate of Convergence of Discretization in Chebyshev Approximation

SIAM Journal on Numerical Analysis, 1978
We compare complex or real linear Chebyshev approximation on a compact interval X with approximation on one of its closed subsets Y. We show that under suitable conditions the best approximation on X approaches the best approximation on X like $({\text{density of}}\,Y)^2 $.
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Budget-Dependent Convergence Rate of Stochastic Approximation

SIAM Journal on Optimization, 1998
Summary: Convergence rate results are derived for a stochastic optimization problem where a performance measure is minimized with respect to a vector parameter \(t\). Assuming that a gradient estimator is available and that both the bias and the variance of the estimator are (known) functions of the budget devoted to its computation, the gradient ...
Pierre L'Ecuyer, Gang George Yin
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Geometric Rates of Approximation by Neural Networks

2008
Model complexity of feedforward neural networks is studied in terms of rates of variable-basis approximation. Sets of functions, for which the errors in approximation by neural networks with n hidden units converge to zero geometrically fast with increasing number n, are described.
V. KURKOVÁ, SANGUINETI, MARCELLO
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Rate of approximation for the Balazs–Kantorovich–Bézier operators

Applied Mathematics and Computation, 2008
For a certain class of bounded functions \(f\) defined on the interval \([0,\infty )\), the Balazs-Kantorovich-Bézier operators \(L_{n,\alpha}(f,x),\) \(\alpha \geq 1\) are considered. These operators are represented with the help of suitably chosen positive numbers \(a_n\), depending on \(a_n\) and a parameter \(\alpha\) and some rational functions ...
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The rate of the normal approximation for jackknifingU-statistics

Acta Mathematicae Applicatae Sinica, 1985
Let \(U_ n\) be a U-statistic with symmetric kernel \(h(x,y)\) such that \[ E h(X_ 1,X_ 2)=\theta \quad and\quad Var E[h(X_ 1,X_ 2)-\theta | X_ 1]>0. \] Let f(x) be a function defined on r and f'' be bounded. If f(\(\theta)\) is the parameter of interest, a natural estimator is \(f(U_ n)\). It is known that the distribution function of \[ z_ n=\sqrt{n}\
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On the rate of convergence of the diffusion approximations

Lithuanian Mathematical Journal, 1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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