High order approximations of the eigenvalues of regular Sturm-Liouville problems (Q1268741)

This article provides high-order approximations to the eigenvalues of regular Sturm-Liouville problems with separated boundary conditions. Error estimates are given. This work is a continuation of the author's earlier work [Appl. Anal. 69, 233-238 (1998; Zbl 0899.34049)], and the interesting approach is based on sampling theory. The reviewer notes that the eigenvalues of regular Sturm-Liouville problems with arbitrary boundary conditions can now be computed in terms of Prüfer transformation and inequalities among such eigenvalues recently established in [\textit{Eastham, Kong, Wu} and \textit{Zettl}, J. Inequalities Appl., to appear].