Sufficient convexity and best approximation

Research output: Contribution to journal › Article › Research › peer review

Authors

  • Josef Berger
  • Douglas S. Bridges
  • Gregor Svindland

Research Organisations

External Research Organisations

  • Ludwig-Maximilians-Universität München (LMU)
  • University of Canterbury
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Details

Original languageEnglish
Pages (from-to)1269-1279
Number of pages11
JournalDocumenta mathematica
Volume29
Issue number6
Publication statusPublished - 26 Nov 2024

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.

Keywords

    best approximation, constructive analysis, sufficiently convex functions, sufficiently convex sets, uniform rotundity

ASJC Scopus subject areas

Cite this

Sufficient convexity and best approximation. / Berger, Josef; Bridges, Douglas S.; Svindland, Gregor.
In: Documenta mathematica, Vol. 29, No. 6, 26.11.2024, p. 1269-1279.

Research output: Contribution to journal › Article › Research › peer review

Berger, J, Bridges, DS & Svindland, G 2024, 'Sufficient convexity and best approximation', Documenta mathematica, vol. 29, no. 6, pp. 1269-1279. https://doi.org/10.4171/DM/985
Berger, J., Bridges, D. S., & Svindland, G. (2024). Sufficient convexity and best approximation. Documenta mathematica, 29(6), 1269-1279. https://doi.org/10.4171/DM/985
Berger J, Bridges DS, Svindland G. Sufficient convexity and best approximation. Documenta mathematica. 2024 Nov 26;29(6):1269-1279. doi: 10.4171/DM/985
Berger, Josef ; Bridges, Douglas S. ; Svindland, Gregor. / Sufficient convexity and best approximation. In: Documenta mathematica. 2024 ; Vol. 29, No. 6. pp. 1269-1279.
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