DERIVATIVE UNIFORM SAMPLING VIA WEIERSTRASS σ ( z ) . TRUNCATION ERROR
نویسنده
چکیده
In the entire functions space [ 2, πq 2s2 ) consisting of at most second order functions such that their type is less than πq/(2s) it is valid the qorder derivative sampling series reconstruction procedure, reading at the von Neumann lattice {s(m + ni)| (m,n) ∈ Z2} via the Weierstrass σ(·) as the sampling function, s > 0. The uniform convergence of the sampling sums to the initial function is proved by the circular truncation error upper bound, especially derived for this reconstruction procedure. Finally, the explicit second and third order sampling formulæ are given. 2000 Mathematics Subject Classification: Primary: 41A05, 94A20; Secondary: 30D15, 94A12.
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