Publication Info
- Title:
- Sinc approximation of algebraically decaying functions
- Type:
- Article
- Status:
- Published
- Journal:
- Journal of Numerical and Applied Mathematics, no. 3 (126) (2017): 124–33
Abstract
An extension of Sinc interpolation on 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 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 R. The numerical examples are provided.