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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 with Rates by Fractional Smooth Picard Singular Operators,iated right and left Caputo fractional derivatives of the involved function. Furthermore we present a fractional Voronovskaya type of result giving the fractional asymptotic expansion of the basic error of our approximation.
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1868-4394 ms.Written by a leading expert in the field.Knowledge can be modeled and computed using computational mathematical methods, then lead to real world conclusions. The strongly related to that Computational Analysis is a very large area with lots of applications. This monograph includes a great v
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Multivariate Generalized Picard Singular Integral Operators,nce and a pointwise approximation result shown at these points. Futhermore, we present the global smoothness preservation property of these type of Picard singular integral operators and prove a sharp inequality. This chapter relies on [61].
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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 type from .(.). This chapter relies on [75].
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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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