%0 Journal Article %T On a multi-point Schwarz-Pick lemma %A Kyung Hyun Cho %A Seong-A Kim %A Toshiyuki Sugawa %J Mathematics %D 2011 %I arXiv %X We consider the multi-point Schwarz-Pick lemma and its associate functions due to Beardon-Minda and Baribeau-Rivard-Wegert. Basic properties of the associate functions are summarized. Then we observe that special cases of the multi-point Schwarz-Pick lemma give Schur's continued fraction algorithm and several inequalities for bounded analytic functions on the unit disk. %U http://arxiv.org/abs/1102.0337v1