Sinh regularized Lagrangian nonuniform sampling series

Abstract

Recently, some window functions have been introduced into the nonuniform fast Fourier transform and the regularized Shannon sampling. Inspired by these works, we utilize a sinh-type function to accelerate the convergence of the Lagrangian nonuniform sampling series. Our theoretical error estimates and numerical experiments demonstrate that the sinh regularized nonuniform sampling series achieves a superior convergence rate compared to the fastest existing Gaussian regularized nonuniform sampling series.

There is a type in page 6 in 10.1007/s12190-025-02709-4 (published by Journal of Applied Mathematics and Computing), \int s \frac{1}{F(z)}ds should be \int_{s}\frac{1}{F(z)}ds. In this version, we have fixed this type. Note that: the email address of the corresponding author has been changed in this version