Convexity and unique minimum points

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autoren

  • Josef Berger
  • G. Svindland

Externe Organisationen

  • Ludwig-Maximilians-Universität München (LMU)
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Seiten (von - bis)27-34
Seitenumfang8
FachzeitschriftArchive for mathematical logic
Jahrgang58
Ausgabenummer1-2
Frühes Online-Datum22 Feb. 2018
PublikationsstatusVeröffentlicht - 5 Feb. 2019
Extern publiziertJa

Abstract

We show constructively that every quasi-convex, uniformly continuous function f: C→ R with at most one minimum point has a minimum point, where C is a convex compact subset of a finite dimensional normed space. Applications include a result on strictly quasi-convex functions, a supporting hyperplane theorem, and a short proof of the constructive fundamental theorem of approximation theory.

ASJC Scopus Sachgebiete

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Convexity and unique minimum points. / Berger, Josef; Svindland, G.
in: Archive for mathematical logic, Jahrgang 58, Nr. 1-2, 05.02.2019, S. 27-34.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Berger J, Svindland G. Convexity and unique minimum points. Archive for mathematical logic. 2019 Feb 5;58(1-2):27-34. Epub 2018 Feb 22. doi: 10.1007/s00153-018-0619-2
Berger, Josef ; Svindland, G. / Convexity and unique minimum points. in: Archive for mathematical logic. 2019 ; Jahrgang 58, Nr. 1-2. S. 27-34.
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