Simple Proof of the Lower Bound on the Average Distance from the Fermat-Weber Center of a Convex Body
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- TAN Xuehou
- School of Information Science and Technology, Tokai University
説明
<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
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- IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
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IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences E105.A (5), 853-857, 2022-05-01
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詳細情報 詳細情報について
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- CRID
- 1390010457691777280
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- NII論文ID
- 130008116405
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- ISSN
- 17451337
- 09168508
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- 本文言語コード
- en
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- 資料種別
- journal article
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- データソース種別
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- JaLC
- Crossref
- CiNii Articles
- KAKEN
- OpenAIRE
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- 抄録ライセンスフラグ
- 使用不可
