An algorithm for the estimation of the segmental Lebesgue constant

The main goal of this work is to provide an explicit algorithm for the estimation of the segmental Lebesgue constant, an extension of the nodal Lebesgue constant that arise, for instance, in histopolation problems. With the help of two simple but efficacious lemmas, we reverse the already known technology and sensibly speed up the numerical estimation of such quantities. Results are comparable with the known literature, although cpu time of the presented method is sensibly smaller. It is worth pointing out that the numerical approach is the only known for analyzing the majority of families of supports.