Steiner type formulae and weighted measures of singularities for semi-convex functions

DOI10.1090/S0002-9947-00-02671-4zbMath1096.49021MaRDI QIDQ4955728

Daniel Hug, Andrea Colesanti

Publication date: 22 May 2000

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

nonsmooth analysissingularitiesconvex functionSteiner formulaweighted Hausdorff measuressemi--convex function

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Convex functions and convex programs in convex geometry (52A41) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Convexity of real functions of several variables, generalizations (26B25) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Hausdorff and packing measures (28A78)

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