Pregled bibliografske jedinice broj: 446594
Characterizing zero-derivative points
Characterizing zero-derivative points // Journal of global optimization, 46 (2010), 1; 155-161 doi:10.1007/s10898-009-9457-4 (međunarodna recenzija, članak, znanstveni)
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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
Projekti:
067-0000000-1076 - Modeli i metode operacijskih istraživanja u ekonomici i poslovnom odlučivanju (Lukač, Zrinka, MZOS ) ( CroRIS)
Ustanove:
Ekonomski fakultet, Zagreb
Profili:
Sanjo Zlobec
(autor)
Citiraj ovu publikaciju:
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
