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arXiv · 1809.07369

Sinc approximation of algebraically decaying functions

Dmytro Sytnyk
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Abstract

An extension of sinc interpolation on $\mathbb{R}$ to the class of algebraically decaying functions is developed in the paper. Similarly to the classical sinc interpolation we establish two types of error estimates. First covers a wider class of functions with the algebraic order of decay on $\mathbb{R}$. The second type of error estimates governs the case when the order of function's decay can be estimated everywhere in the horizontal strip of complex plane around $\mathbb{R}$. The numerical examples are provided.

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Dmytro Sytnyk. 2018-09-21. Sinc approximation of algebraically decaying functions. https://arxiv.org/abs/1809.07369

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