Finally, we have investigated some PSI errors--fringe
interpolation errors and bull's-eye patterns (from coherent scattering)--that have no direct analogy in the autocollimator.
Nevertheless, weighted polynomial interpolation at approximate Fekete points shows small Lebesgue constants, close to those of nonweighted polynomial interpolation (growth like O(logn)), and the best
interpolation errors also for small [epsilon].
The variability in this error was about 16 percent of that for the SRTM, suggesting that
interpolation error makes up only a modest component of the observed differences between SRTM and the Oakland elevations.
1), the trace theorem, and a standard
interpolation error estimate that
Hence, indeed, by minimizing the approximation error over the training set of operator evaluations, the
interpolation error is also kept small.
1 and provides the
interpolation error estimate from Lemma 2.
1) with both the exact finite element error and
interpolation error measured in the norms inherited by the problem.
Hermite's representation of the
interpolation errorFor functions f (x) which are analytic in a large neighbourhood of the interval, this gives rise to an
interpolation error which is very uniform on the interval, as opposed to interpolation in equidistant points, which leads to the Runge phenomenon (extreme oscillations between interpolation points).
1]y regular function on one of the domains described in the previous sections, is contained, up to the
interpolation error, in its values at relatively few Xu points.
I] is the
interpolation error, which we bound in [section]2.
In Section 3 we give some anisotropic
interpolation error estimates for Clement type interpolation and prove the uniform discrete inf-sup condition.
