Quantization for a Borel probability measure refers to the idea of estimating a given probability by a discrete probability with support containing a finite number of elements. In this paper, we have considered a Borel probability measure $P$ on $\mathbb R^2$, which has support a nonuniform stretched Sierpi\'{n}ski triangle generated by a set of three contractive similarity mappings on $\mathbb R^2$. For this probability measure, we investigate the optimal sets of $n$-means and the $n$th quantization errors for all positive integers $n$.

翻译：对于Borel概率测度的量化，指的是用支撑集包含有限个元素的离散概率分布来估计给定概率的思想。本文考虑$\mathbb R^2$上的一个Borel概率测度$P$，其支撑集为由$\mathbb R^2$上一组三个压缩相似映射生成的非均匀拉伸谢尔宾斯基三角。对于该概率测度，我们研究了所有正整数$n$的最优$n$-均值集以及第$n$阶量化误差。