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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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A Generalized Shisha - Mond Type Inequality,We present here a generalized Shisha-Mond type inequality which implies a generalized Korovkin theorem. These are regarding the convergence with rates of a sequence of positive linear operators to the unit. This chapter is based on [39].
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https://doi.org/10.1007/978-3-642-17098-0Computational Analysis; Fractional Approximation; Intelligent Systems; Neural Networks
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George A. AnastassiouBasic book on Intelligent Mathematics: Computational Analysis.Presents the Principles of Computational Analysis related to Intelligent systems.Written by a leading expert in the field
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Multidimensional Probabilistic Scale Approximation,transform multivariate distribution functions to multivariate distribution functions. The degree of this approximation is given by establishing some sharp Jackson type inequalities. This chapter relies on [90].
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Multidimensional Probabilistic Approximation in Wavelet Like Structure,ions and where the defining them wavelet function is .. These approximate . in the supnorm. The degree of this approximation is estimated by establishing a Jackson type inequality. Furthermore we give generalizations for the case of a wavelet function ≠ ., which is just any distribution function on
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About L-Positive Approximations,h some inequalities for best approximation of . ∈ .(.) by elements from . ∩ .(.). In the case when . is a differential operator and . is the Sobolev space . we obtain Jackson type estimates for simultaneous approximation of . ∈ .(.) by multivariate polynomials and entire functions of exponential typ
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Jackson-Type Nonpositive Approximations for Definite Integrals,nals. Several important cases are treated, in which approximations are given with rates by using higher order moduli of smoothness. Real applications of these results might be, e.g., in Communications and Medical Imaging. This chapter relies on [70].
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