  In this paper, we study the L^p-Bochner-Riesz mean summability problem
related to the spectrum of the Sturm-Liouville operator in L^p([a, b], \omega).
Our purpose is to establish suitable conditions under which the Bochner-Riesz
expansion of a function f \in L^p([a, b], \omega) converges to f in L^p([a, b],
\omega). Then we apply this result in the case of Jacobi polynomials and two
generalisations of Slepian's basis.
