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Rates of Convergence for Stochastic Approximation Type Algorithms
SIAM Journal on Control and Optimization, 1979We consider the general form of the stochastic approximation algorithm$X_{n + 1} = X_n + a_n h(X_n ,\xi _n )$, where h is not necessarily additive in $\xi _n $. Such algorithms occur frequently in applications to adaptive control and identification problems, where $\{ \xi _n \} $ is usually obtained from measurements of the input and output, and is ...
Kushner, Harold J., Huang, Hai
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L 1-approximation rate of certain trigonometric series
Acta Mathematica Hungarica, 2011The authors claim that they refigure out the whole frame of \(L^1\)-approximation. This sounds too optimistic. For example, it is quite common to start from trigonometric series rather than from the Fourier series of an integrable function and only then to use specific properties of the coefficients of the series in order to ensure integrability ...
Le, R. J., Zhou, S. P.
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Rate of Convergence in Simultaneous Approximation
2014In the theory of approximation, the study of the rate of convergence in simultaneous approximation is also an interesting area of research. Several researchers have worked in this direction; some of them have obtained the rate of convergence for bounded/bounded variation functions in simultaneous approximation.
Vijay Gupta, Ravi P. Agarwal
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THE RATE OF BEST APPROXIMATION FOR ENTIRE FUNCTIONS
Analysis, 1985The 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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Rate of wavelet approximation of stochastic processes
Stochastic Analysis and Applications, 1998Stochastic processes are approximated by wavelet operators. For the stochastic process and the scale function satisfying some conditions, a new method is given to estimate the degree of approximation.
Huowang Liu, Yimin Pan, Ximing Cheng
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Geometry of an approximate average rate
2019The geometry of a rate is surprisingly simple and provides insight into the use of rates, particularly in the context of survival rates.
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Rate of Approximation by Finite Iterates of $$q$$q-Durrmeyer Operators
, 2016A. R. Gairola, Deepmala, L. Mishra
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The exact rate of approximation in Ulam's method
, 2000C. Bose, R. Murray
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