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An extension problem for convex functions. (English) Zbl 1488.26041

Brändén, Petter (ed.) et al., Notions of positivity and the geometry of polynomials. Dedicated to the memory of Julius Borcea. Basel: Birkhäuser. Trends Math., 33-37 (2011).
Summary: We give a statement on an extension with estimates of convex functions defined on a linear subspace, inspired by similar extension results concerning metrics on positive line bundles.
For the entire collection see [Zbl 1222.00033].

MSC:

26B25 Convexity of real functions of several variables, generalizations
52A41 Convex functions and convex programs in convex geometry
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