JournalsdmVol. 29, No. 6pp. 1269–1279

Sufficient convexity and best approximation

  • Josef Berger

    Ludwig-Maximilians-Universität München, Munich, Germany

  • Douglas S. Bridges

    University of Canterbury, Christchurch, New Zealand

  • Gregor Svindland

    Leibniz Universität Hannover, Hannover, Germany
Sufficient convexity and best approximation cover
Download PDF

This article is published open access.

Abstract

Working constructively throughout, we introduce the notion of sufficient convexity for functions and sets and study its implications on the existence of best approximations of points in sets and of sets mutually.

Cite this article

Josef Berger, Douglas S. Bridges, Gregor Svindland, Sufficient convexity and best approximation. Doc. Math. 29 (2024), no. 6, pp. 1269–1279

DOI 10.4171/DM/985