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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:386

Article

Ding, J.²  Rhee, Noah H.¹ 

[1] Univ Missouri Kansas City, Dept Math & Stat, Kansas City, MO 64110 USA

[2] Univ So Mississippi, Dept Math, Hattiesburg, MS 39406 USA

关键词: Least squares approximations;    Frobenius-Perron operators;    Invariant measures;   

DOI  :  10.1016/j.jmaa.2011.07.053

来源: Elsevier

【 摘 要 】

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.

【 授权许可】

Free