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. (C) 2011 Elsevier Inc. All rights reserved.
Journal of Mathematical Analysis and Applications
Rhee, N. H.
(2012). On the Norm Convergence of a Piecewise Linear Least Squares Method for Frobenius-Perron Operators. Journal of Mathematical Analysis and Applications, 386(1), 91-102.
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