**T. K. Pogany**

## Derivative uniform sampling via Weierstrass s(*z*). Truncation error analysis in [2,pi/ 2s^{2})

**abstract:**

In the entire functions space $\left[ 2,\frac{\pi q}{2s^2}\right)$
consisting of at most second order functions such that their type is less than
$\pi q/(2s^2)$ it is valid the $q$-order derivative sampling series
reconstruction procedure, reading at the von Neumann lattice $\{
s(m+ni)|\;(m,n)\in \bZ^2\}$ via the Weierstrass $\sigma(\cdot)$ as the
sampling function, $s>0$. The uniform convergence of the sampling sums
to the initial function is proved by the {\it circular truncation
error} upper bound, especially derived for this reconstruction procedure.
Finally, the explicit second and third order sampling formul{\ae} are given