Numerical Differentiation and Peano Kernel Functions

机译：数值微分与peano核函数

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The determination of numerical differentiation formulas is reviewed and thebehavior of the associated Peano kernel function is investigated. It is shown that this function vanishes at most once within the interval of the points used for the differentiation, a fact which is used to obtain a simple bound on the residual.

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作者
Tracogna, S.; Welfert, B.;
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年度 1997
页码 p.1-24
总页数 24
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Linear operators; Differentiation; Linear systems; Kernel functions; Approximation; Polynomials; Theorem proving;

机译：线性算子;微分;线性系统;核函数;逼近;多项式;定理证明;

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3. Infinitely Peano differentiable functions in polynomially bounded o-minimal structures [J] . Fischer A. Annals of Pure and Applied Logic . 2010,第12期

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4. Design of IIR fractional differentiator With Peano kernel [C] . Pei Soo-Chang, Wang Peng-Hua, Lin Chia-Huei IEEE Asia Pacific Conference on Circuits and Systems . 2008

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Numerical Differentiation and Peano Kernel Functions

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