Convergence order of the quantization error for self-affine measures on Lalley-Gatzouras carpets

Sanguo Zhu

Let $E$ be a Lalley-Gatzouras carpet determined by a set of contractive affine mappings $\{f_{ij}{\}}_{(i,j)\in G}$. We study the asymptotics of quantization error for the self-affin…