A new optimal algorithm for weighted approximation and integration over R
This paper continues an earlier one of of \textit{G. W. Wasilkowski} and \textit{H. Wožniakowski} [J. Approximation Theory (to appear)] concerning the complexities of weighted approximation and weighted integration problems for smooth univariate functions defined over \(\mathbb R\). The authors propose a new (almost) optimal algorithm that, for a number of instances, is easier to implement. This new algorithm has a cost smaller than the original algorithm from an earlier paper. The new algorithm is also tested and two types of empirical results are given.
scientific article; zbMATH DE number 1534758