On the norm convergence of a piecewise linear least squares method for Frobenius–Perron operators

In this paper we prove both the L 1 -norm and the BV-norm convergence for a piecewise linear least squares approximation method that was recently proposed for computing stationary density functions of Frobenius–Perron operators associated with piecewise C 2 and stretching mappings of the unit interval. We also give a convergence rate analysis under the BV-norm.