  In this article, we study the Fekete problem in segmental and combined
nodal-segmental univariate polynomial interpolation by investigating sets of
segments, or segments combined with nodes, such that the Vandermonde
determinant for the respective polynomial interpolation problem is maximized.
For particular families of segments, we will be able to find explicit solutions
of the corresponding maximization problem. The quality of the Fekete segments
depends hereby strongly on the utilized normalization of the segmental
information in the Vandermonde matrix. To measure the quality of the Fekete
segments in interpolation, we analyse the asymptotic behaviour of the
generalized Lebesgue constant linked to the interpolation problem. For
particular sets of Fekete segments we will get, similar to the nodal case, a
favourable logarithmic growth of this constant.
