Simple Proof of the Lower Bound on the Average Distance from the Fermat-Weber Center of a Convex Body

DOI Web Site 参考文献10件 オープンアクセス
  • TAN Xuehou
    School of Information Science and Technology, Tokai University

抄録

<p>We show that for any convex body Q in the plane, the average distance from the Fermat-Weber center of Q to the points in Q is at least Δ(Q)/6, where Δ(Q) denotes the diameter of Q. Our proof is simple and straightforward, since it needs only elementary calculations. This simplifies a previously known proof that is based on Steiner symmetrizations.</p>

収録刊行物

参考文献 (10)*注記

もっと見る

関連プロジェクト

もっと見る

キーワード

詳細情報 詳細情報について

問題の指摘

ページトップへ