On a problem of P. Erdös
type: Item
instance of: scholarly article
title: On a problem of P. Erdös
zbMATH Open document ID: 0851.52019
DOI: 10.1016/0166-218X(95)00087-8
author: Carla Antoni
author: Angela Dalena
published in: Discrete Applied Mathematics
publication date: 1996-07-07T00:00:00Z
review text: \textit{P. Erdös} has proposed the following minimal problem [J. Math. Phys. High School Students (1993)]: For an arbitrary triangle \(T\) (in the Euclidean plane) and arbitrary point \(X\), let \(a\), \(b\), \(c\) and \(x\), \(y\), \(z\) denote the distances of \(X\) from vertices and sides of \(T\), respectively. When does the ratio \({a + b + c \over x + y + z}\) have the minimum value? In this note are given results about the existence and uniqueness of solutions. This Erdös problem is related to the Fermat problem and a fractional programming.
reviewed by: Erhard Quaisser
Mathematics Subject Classification ID: 52C10
Mathematics Subject Classification ID: 51M16
Mathematics Subject Classification ID: 90C32
zbMATH DE Number: 897404
zbMATH Keywords: Erdös problem
zbMATH Keywords: Fermat problem
zbMATH Keywords: fractional programming
MaRDI profile type: Publication
cites work: Q5574527
cites work: Fractional programming
full work available at URL: 0166-218x(95)00087-8
OpenAlex ID: W2767589636
description: scientific article; zbMATH DE number 897404