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Pregled bibliografske jedinice broj: 446594

Characterizing zero-derivative points


Zlobec, Sanjo
Characterizing zero-derivative points // Journal of global optimization, 46 (2010), 1; 155-161 doi:10.1007/s10898-009-9457-4 (međunarodna recenzija, članak, znanstveni)


Naslov
Characterizing zero-derivative points

Autori
Zlobec, Sanjo

Izvornik
Journal of global optimization (0925-5001) 46 (2010), 1; 155-161

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Zero-derivative point; Fermat's extreme value theorem; Theorem of Lagrange

Sažetak
We study smooth functions in several variables with a Lipschitz derivative. It is shown that these functions have the "envelope property": Around zero-derivative points, and only around such points, the functions are envelopes of a quadratic parabolloid. The property is used to reformulate Fermat's extreme value theorem and the Theorem of Lagrange under slightly more restrictive assumptions but withouth the derivatives.

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Ekonomija



POVEZANOST RADA


Projekt / tema
067-0000000-1076 - Modeli i metode operacijskih istraživanja u ekonomici i poslovnom odlučivanju (Zrinka Lukač, )

Ustanove
Ekonomski fakultet, Zagreb

Autor s matičnim brojem:
Sanjo Zlobec, (283526)

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus


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