Averaging the \(k\) largest distances among \(n\): \(k\)-centra in Banach spaces

DOI10.1016/j.jmaa.2003.11.011zbMath1065.46014OpenAlexW1974124149WikidataQ58217307 ScholiaQ58217307MaRDI QIDQ1433355

Justo Puerto, Pier Luigi Papini

Publication date: 15 June 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2003.11.011

zbMATH Keywords

medianChebyshev centerFermat point

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Inequalities and extremum problems involving convexity in convex geometry (52A40)

Related Items (3)

On \(k\) nearest points of a finite set in a normed linear space ⋮ Torricellian points in normed linear spaces ⋮ Averaging on manifolds by embedding algorithm

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On some constants in Banach spaces
• Distances to the two and three furthest points
• Centroids, centers, medians: What is the difference?
• Minimizing the sum of the \(k\) largest functions in linear time.
• A Banach space in which all compact sets, but not all bounded sets, admit Chebyshev centers
• A flexible approach to location problems
• Location of the Fermat-Torricelli medians of three points
• Circumspheres and Inner Products.
• On ordered weighted averaging aggregation operators in multicriteria decisionmaking
• Centers to centroids in graphs
• Constrained and unconstrained problems in location theory and inner products
• Minimax parametric optimization problems and multi-dimensional parametric searching
• Location Theory, Dominance, and Convexity
• The \(k\)-centrum multi-facility location problem

This page was built for publication: Averaging the \(k\) largest distances among \(n\): \(k\)-centra in Banach spaces