منابع مشابه
Near optimality of the sinc approximation
Near optimality of the sinc approximation is established in a variety of spaces of functions analytic in a strip region about the real axis, each space being characterized by the decay rate of their elements (functions) in the neighborhood of the infinity.
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Error estimates with explicit constants are given for approximations of functions, definite integrals and indefinite integrals by means of the Sinc approximation. Although in the literature various estimates have already been given for these approximations, they were basically for examining the rates of convergence, and several constants were left unevaluated. Giving more explicit estimates, i....
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In this work, we study the performance of the sinc-Collocation method for solving Bratu's problem. For different choices of step size, we consider the maximum absolute errors in the solutions at sinc grid points and tabulated in tables. The comparison of the obtained results veri ed that this method converges to the exact solution rapidly and with
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We consider the problem of approximating the Sobolev class of functions by neural networks with a single hidden layer, establishing both upper and lower bounds. The upper bound uses a probabilistic approach, based on the Radon and wavelet transforms, and yields similar rates to those derived recently under more restrictive conditions on the activation function. Moreover, the construction using ...
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Managers make efforts and choices. Efficient incentives to induce effort focus on the signal extraction problem of inferring the level of effort. Efficient incentives for choices line up the relative payoffs of principal and agent. With choices much more important than the variation in the cost of inducing effort, the optimal payment schedule tends toward proportionality. The argument holds if ...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 2002
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-02-01451-5