On affine subspaces that illuminate a convex set.
Bezdek, Károly (1994)
Beiträge zur Algebra und Geometrie
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Displaying similar documents to “On the affine convexity of convex curves and hypersurfaces.”
On affine subspaces that illuminate a convex set.
Curvature functionals for curves in the equi-affine plane
Steven Verpoort (2011)
Czechoslovak Mathematical Journal
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After having given the general variational formula for the functionals indicated in the title, the critical points of the integral of the equi-affine curvature under area constraint and the critical points of the full-affine arc-length are studied in greater detail. Notice. An extended version of this article is available on arXiv:0912.4075.
A measure of symmetry for ovals
Cieslak, Waldemar, Zajac, Jósef (1985-1986)
Portugaliae mathematica
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On the affine rectification of convex curves.
Leichtweiss, Kurt (1999)
Beiträge zur Algebra und Geometrie
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The fundamental theorems of curves and hypersurfaces in centro-affine geometry.
Gardner, Robert B., Wilkens, George R. (1997)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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Affine and convex functions with respect to the logarithmic mean
Janusz Matkowski (2003)
Colloquium Mathematicae
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The class of all functions f:(0,∞) → (0,∞) which are continuous at least at one point and affine with respect to the logarithmic mean is determined. Some related results concerning the functions convex with respect to the logarithmic mean are presented.
Convex functions with respect to logarithmic mean and ѕandwich theorem
Zygfryd Kominek, T. Zgraja (1999)
Acta Universitatis Carolinae. Mathematica et Physica
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On some aspects of Jensen-Menger convexity.
Joanna Ger, Roman Ger (1992)
Stochastica
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The paper contains various results concerning the so-called homogeneity sets for convex functions defined on convex subsets of some special metric spaces named G-space (cf. H. Busemann [1]). A closed graph theorem for such type mappings is also presented.
Iteration semigroups with generalized convex, concave and affine elements.
Krassowska, Dorota (2009)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Bifurcations of affine invariants for one-parameter family of generic convex plane curves
Takashi Sano (1999)
Banach Center Publications
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We study affine invariants of plane curves from the view point of the singularity theory of smooth functions. We describe how affine vertices and affine inflexions are created and destroyed.