Nonuniform Sampling of Bandlimited Functions

In this correspondence, we show that a function in the Bernstein class B_pi ^p (1 les p les infin) can be reconstructed in the Lagrange interpolation form with sampling points {t_n} satisfying |t_n - n| les d and [4d] additional points, where d is any nonnegative real number that is not necessarily less than 1/4. Here, [x] denotes the integer part of x.