On specific stability bounds for linear multiresolution schemes based on piecewise polynomial Lagrange interpolation (Q1029126)

The purpose of the paper is to derive specific stability bounds for certain classical linear interpolatory multiresolution algorithms within \textit{A. Harten}'s general framework [SIAM J. Numer. Anal. 33, No. 3, 1205--1256 (1996; Zbl 0861.65130)] which are based on piecewise polynomial centered Lagrange interpolation. First, the authors rewrite the linear prediction operator based on piecewise polynomial centered Lagrange interpolation in a convenient way for their forthcoming study. Next,the stability issues is studied and other possible approaches are considered. Numerical examples are also presented.