Sums of distances in normed spaces
By: by Mostafa Ghandehari
Contributors: Naval Postgraduate School (U.S.). Dept. of Mathematics
Publisher: Naval Postgraduate School; Available from National Technical Information Service
Published: 1991
Place of publication: Monterey, Calif; Springfield, Va
Language: eng
Subjects: Normed spaces
Other titles: NPS-MA-91-0001.
Description: A geometric proof for the following theorem due to Martelli and Busenberg is given.      Integral geometry is used to discuss special cases and related results. Minkowski spaces      are simply finite dimensional normed linear spaces. Smoothness assumptions on the      boundary of the unit disk E for a Minkowski plane will enable us to use Crofton's      simplest formula from integral geometry to give a proof for three points. If the unit ball for      a 3-dimensional Minkowski space is a zonoid, then we used integral geometry for the      case of four points forming a simplex. A zonoid is a limit of sums of segments. Bolker      discusses equivalent conditions for a convex subset of Rn to be a zonoid.
Notes: Title from cover.

"NPS-MA-91-0001."

"Technical report for period April 1990-October 1990."

AD A238 066.

DTIC record says NPS-MA-91-001.

Includes bibliographical references (p. 7).

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