Sufficient convexity and best approximation

Josef Berger; Douglas S. Bridges; Gregor Svindland

doi:10.4171/dm/985

JournalsdmVol. 29, No. 6pp. 1269–1279

Sufficient convexity and best approximation

Josef Berger
Ludwig-Maximilians-Universität München, Munich, Germany
- MathSciNet
Douglas S. Bridges
University of Canterbury, Christchurch, New Zealand
- MathSciNet
- zbMATH Open
Gregor Svindland
Leibniz Universität Hannover, Hannover, Germany
- MathSciNet
- zbMATH Open

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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