Weber’s problem on the Riemannian Manifolds: Some upper bounds for the minimun Weber’s function

Weber’s problem on the Riemannian Manifolds: Some upper bounds for the minimun Weber’s function

In this paper we obtain some upper bounds for the minimum of the Weber function on a strongly convex ball in a Riemannian manifold with positive sectional curvature; where the minimum is reached on the weighted geometric median of “m” given points in the strongly convex.

Bibliographic Details
Main Authors: Franco Rubio López, Patricia Edith Alvarez Rodriguez, Heyssen Dueñes Chávez
Format: Article
Language:Spanish
Published: Universidad Nacional de Trujillo 2019-07-01
Series:Selecciones Matemáticas
Subjects:
The Weber problema
Weighted Geometric Median
Riemannian manifold
Strongly convex set
Online Access:http://revistas.unitru.edu.pe/index.php/SSMM/article/view/2455
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spelling doaj-35486d02897b49ce94c7d1cb7ffa227d2020-11-25T01:40:35ZspaUniversidad Nacional de TrujilloSelecciones Matemáticas2411-17832411-17832019-07-016110811810.17268/sel.mat.2019.01.13Weber’s problem on the Riemannian Manifolds: Some upper bounds for the minimun Weber’s functionFranco Rubio López0Patricia Edith Alvarez Rodriguez1Heyssen Dueñes Chávez2Departamento de Matemáticas, Universidad Nacional de Trujillo, Av. Juan Pablo II s/n, Ciudad Universitaria, Trujillo-PerúDepartamento de Matemáticas, Universidad Nacional de Trujillo, Av. Juan Pablo II s/n, Ciudad Universitaria, Trujillo-PerúDepartamento de Matemáticas, Universidad Nacional de Trujillo, Av. Juan Pablo II s/n, Ciudad Universitaria, Trujillo-PerúIn this paper we obtain some upper bounds for the minimum of the Weber function on a strongly convex ball in a Riemannian manifold with positive sectional curvature; where the minimum is reached on the weighted geometric median of “m” given points in the strongly convex.http://revistas.unitru.edu.pe/index.php/SSMM/article/view/2455The Weber problemaWeighted Geometric MedianRiemannian manifoldStrongly convex set
collection DOAJ
language Spanish
format Article
sources DOAJ
author Franco Rubio López
Patricia Edith Alvarez Rodriguez
Heyssen Dueñes Chávez
spellingShingle Franco Rubio López
Patricia Edith Alvarez Rodriguez
Heyssen Dueñes Chávez
Weber’s problem on the Riemannian Manifolds: Some upper bounds for the minimun Weber’s function
Selecciones Matemáticas
The Weber problema
Weighted Geometric Median
Riemannian manifold
Strongly convex set
author_facet Franco Rubio López
Patricia Edith Alvarez Rodriguez
Heyssen Dueñes Chávez
author_sort Franco Rubio López
title Weber’s problem on the Riemannian Manifolds: Some upper bounds for the minimun Weber’s function
title_short Weber’s problem on the Riemannian Manifolds: Some upper bounds for the minimun Weber’s function
title_full Weber’s problem on the Riemannian Manifolds: Some upper bounds for the minimun Weber’s function
title_fullStr Weber’s problem on the Riemannian Manifolds: Some upper bounds for the minimun Weber’s function
title_full_unstemmed Weber’s problem on the Riemannian Manifolds: Some upper bounds for the minimun Weber’s function
title_sort weber’s problem on the riemannian manifolds: some upper bounds for the minimun weber’s function
publisher Universidad Nacional de Trujillo
series Selecciones Matemáticas
issn 2411-1783
2411-1783
publishDate 2019-07-01
description In this paper we obtain some upper bounds for the minimum of the Weber function on a strongly convex ball in a Riemannian manifold with positive sectional curvature; where the minimum is reached on the weighted geometric median of “m” given points in the strongly convex.
topic The Weber problema
Weighted Geometric Median
Riemannian manifold
Strongly convex set
url http://revistas.unitru.edu.pe/index.php/SSMM/article/view/2455
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AT patriciaedithalvarezrodriguez webersproblemontheriemannianmanifoldssomeupperboundsfortheminimunwebersfunction
AT heyssendueneschavez webersproblemontheriemannianmanifoldssomeupperboundsfortheminimunwebersfunction
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