arXiv (Cornell University)· 2018· Preprint
Sinc approximation of algebraically decaying functions
- 834citations
- 2018year
Short summary
This paper introduces an extension of sinc interpolation to approximate algebraically decaying functions on the real line.
AI-generated from the title and abstract; the full text is not read.
Key points
- Introduces sinc interpolation for algebraically decaying functions.
- Offers two distinct error estimation strategies based on decay characteristics.
- The second error estimate considers decay within a complex horizontal strip.
- Numerical examples are included to validate the approach.
AI-generated from the title and abstract; the full text is not read.
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.
The authors' abstract, as published at the source. arXiv (Cornell University), 2018 · DOI ↗
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Field: Applied Mathematics
Applied MathematicsMathematics