Concerning the truncation error
of a generalized Jacobi series, the following estimate holds (see [3, Theorem 4.
n])] the principal local truncation error
at the point [t.
In [30, 31, 211 22] the truncation error
estimates were obtained for particular classes of band--limited functions and some illustrative examples were given.
When Molodensky (1960) introduced the idea of modification of Stokes' formula, the truncation error
was the dominating error source.
h), we see that a large size step h will induce a large truncation error
and a small size step h will induce a large roundoff error.
i]] and from (12), E = (A + M)L(h), using (13) and the truncation error
vector L(h), it follows that for (7) and (8) [parallel] E [parallel]= O([h.
It gives a bound for the truncation error
arising in the approximation of a matrix integral by quadrature.
This implies that the smaller the side lobes are, the smaller the truncation error
These methods are categorized as deterministic ones in which the truncation error
of the integral is minimized.
7)] converges absolutely if [beta] > 0 and \Z\ < 1, and the truncation error
It can be seen that the local truncation error
of the formula (3.
analysis and convergence rate is provided in weak Cramer class random fields.