Sufficient criteria of convexity

Yury D. Burago, V. A. Zalgaller

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

In this article a survey of criteria of convexity of sets and hypersurfaces in Rn, in Riemannian and infinite-dimensional linear spaces, is made. Included are the following sections: support property; local convexity; local support; curvature of the boundary; section by planes; uniqueness of closest points; systems of sets.

Original languageEnglish (US)
Pages (from-to)395-435
Number of pages41
JournalJournal of Soviet Mathematics
Volume10
Issue number3
DOIs
StatePublished - Sep 1 1978

Fingerprint

Convexity
Sufficient
Infinite-dimensional Spaces
Linear Space
Hypersurface
Uniqueness
Curvature

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Mathematics(all)
  • Applied Mathematics

Cite this

Burago, Yury D. ; Zalgaller, V. A. / Sufficient criteria of convexity. In: Journal of Soviet Mathematics. 1978 ; Vol. 10, No. 3. pp. 395-435.
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Burago, YD & Zalgaller, VA 1978, 'Sufficient criteria of convexity', Journal of Soviet Mathematics, vol. 10, no. 3, pp. 395-435. https://doi.org/10.1007/BF01476847

Sufficient criteria of convexity. / Burago, Yury D.; Zalgaller, V. A.

In: Journal of Soviet Mathematics, Vol. 10, No. 3, 01.09.1978, p. 395-435.

Research output: Contribution to journalArticle

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