This paper proves approximation order properties of various nonlinear subdivision schemes. Building on some recent results on the stability of nonlinear multiscale transformations, we are able to give very short and concise proofs. In particular we point out an interesting connection between stability properties and approximation order for nonlinear subdivision schemes. © 2009 Elsevier Inc.
Grohs, P. (2010). Approximation order from stability for nonlinear subdivision schemes. Journal of Approximation Theory, 162(5), 1085–1094. https://doi.org/10.1016/j.jat.2009.12.003