On affine subspaces that illuminate a convex set.
Bezdek, Károly (1994)
Beiträge zur Algebra und Geometrie
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Bezdek, Károly (1994)
Beiträge zur Algebra und Geometrie
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R. Schneider (1987)
Discrete & computational geometry
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D. G. Keselman (1986)
Commentationes Mathematicae Universitatis Carolinae
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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.
Leichtweiß, Kurt (2002)
Beiträge zur Algebra und Geometrie
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W. Nitka (1972)
Fundamenta Mathematicae
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Cruceanu, Vasile (2005)
Balkan Journal of Geometry and its Applications (BJGA)
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Krassowska, Dorota (2009)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Andrew Lorent (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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In this note we give sharp lower bounds for a non-convex functional when minimised over the space of functions that are piecewise affine on a triangular grid and satisfy an affine boundary condition in the second lamination convex hull of the wells of the functional.
Soare, Nicolae (2005)
Balkan Journal of Geometry and its Applications (BJGA)
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