On Weierstrass extreme value theorem

Juan Enrique Martínez-Legaz

doi:10.1007/s11590-012-0587-0

On Weierstrass extreme value theorem

Juan Enrique Martínez-Legaz

Departament d'Economia i d'Història Econòmica

Producció científica: Contribució a revista › Article › Recerca › Avaluat per experts

26 Cites (Scopus)

Resum

We show that suitable restatements of the classical Weierstrass extreme value theorem give necessary and sufficient conditions for the existence of a global minimum and of both a global minimum and a global maximum. © 2012 Springer-Verlag Berlin Heidelberg.

Idioma original	Anglès
Pàgines (de-a)	391-393
Revista	Optimization Letters
Volum	8
Número	1
DOIs	https://doi.org/10.1007/s11590-012-0587-0
Estat de la publicació	Publicada - 1 de gen. 2014

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10.1007/s11590-012-0587-0

https://ddd.uab.cat/record/184390

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https://www.scopus.com/pages/publications/84892864322

Com citar-ho

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title = "On Weierstrass extreme value theorem",

abstract = "We show that suitable restatements of the classical Weierstrass extreme value theorem give necessary and sufficient conditions for the existence of a global minimum and of both a global minimum and a global maximum. {\textcopyright} 2012 Springer-Verlag Berlin Heidelberg.",

keywords = "Existence of optimal solutions, Global optima",

author = "Mart{\'i}nez-Legaz, \{Juan Enrique\}",

year = "2014",

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doi = "10.1007/s11590-012-0587-0",

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T1 - On Weierstrass extreme value theorem

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PY - 2014/1/1

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N2 - We show that suitable restatements of the classical Weierstrass extreme value theorem give necessary and sufficient conditions for the existence of a global minimum and of both a global minimum and a global maximum. © 2012 Springer-Verlag Berlin Heidelberg.

AB - We show that suitable restatements of the classical Weierstrass extreme value theorem give necessary and sufficient conditions for the existence of a global minimum and of both a global minimum and a global maximum. © 2012 Springer-Verlag Berlin Heidelberg.

KW - Existence of optimal solutions

KW - Global optima

UR - https://www.scopus.com/pages/publications/84892864322

U2 - 10.1007/s11590-012-0587-0

DO - 10.1007/s11590-012-0587-0

M3 - Article

SN - 1862-4472

VL - 8

SP - 391

EP - 393

JO - Optimization Letters

JF - Optimization Letters

IS - 1

ER -

On Weierstrass extreme value theorem

Resum

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