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The Bounds for Truncation Error in Sampling Expansions
並列摘要
The bounds for truncation error in sampling expansions with sampled zero-th, first and second order derivatives are studied. The result shows that the upper bounds for truncation error (ƐN(Z), ƐN(Z), ƐN(Z)) decrease respectively as sampling points (N) increase if β and k are constants. In addition to the result mentioned above the upper bound for truncation error with sampled zero-th and first order derivatives is about │sin(βz)│(1+2(Ek/Ek))/(√3(Nπ-│βz│}times as large as the upper bound for the truncation error with sampled zero-th order derivatives.
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