The Estimation of Uniform Truncation Error and Uniform Aliasing Error of Hermite Irregular Sampling Theorem

In this paper., the estimation of uniform truncation error and uniform aliasing error of Hermite irregular sampling theorem are determined for functions with some decay properties: |\textf(\textx)| \leqslant \frac\textC_11+|\textx|^\texts, \left|\textf^\prime(\textx)\right| \leqslant \frac\textC_21+|\textx|^\texts, for some s > 0, and two positive constants C₁, C₂.