An analog of the Sinc approximation for periodic functions

Abstract

In this paper, we propose an interpolation formula for periodic functions. This formula can be regarded as an analog of the Sinc approximation, which is an interpolation formula for functions defined on the entire infinite interval. Theoretical error analysis and numerical examples show that the proposed formula converges exponentially for analytic periodic functions.

arXiv comment9 pages, 1 figure I have decided to withdraw the paper because the contents of the paper were already proposed by other researchers