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Titlebook: Intelligent Mathematics: Computational Analysis; George A. Anastassiou Book 2011 Springer Berlin Heidelberg 2011 Computational Analysis.Fr

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Approximation by a Nonlinear Cardaliaguet-Euvrard Neural Network Operator of Max-Product Kind,twork operator, for which a Jackson-type approximation order is obtained. In some classes of functions, the order of approximation is essentially better than the order of approximation of the corresponding linear operator. This chapter relies on [65].
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Convex Probabilistic Wavelet Like Approximation,Continuous functions are approximated by wavelet like operators. These preserve convexity and .-convexity and transform continuous probability distribution functions into probability distribution functions at the same time preserving certain convexity conditions. The degree of this approximation is estimated by presented Jackson type inequalities.
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About Shape Preserving Weighted Uniform Approximation,Results concerning shape preserving weighted uniform approximation on the real line are presented. This chapter is based on [74].
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Discrete Best , Approximation Using the Gauges Way,A discrete theory is presented for the best approximation in the ”gauges” sense. This chapter relies on [8]..In [249], A.Pinkus and O. Shisha introduced novel measures of size (“gauges”) of real functions of a real variable, continuous on [0, 1]. In their simplest form, these measures can be described roughly as follows.
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