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Currently displaying 1 – 2 of 2

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Complément de Schur et sous-différentiel du second ordre d'une fonction convexe.

Alberto Seeger — 1991

Aequationes mathematicae

Smoothing a polyhedral convex function via cumulant transformation and homogenization

Alberto Seeger — 1997

Annales Polonici Mathematici

Given a polyhedral convex function g: ℝⁿ → ℝ ∪ +∞, it is always possible to construct a family ${g ₜ}_{t > 0}$ which converges pointwise to g and such that each gₜ: ℝⁿ → ℝ is convex and infinitely often differentiable. The construction of such a family ${g ₜ}_{t > 0}$ involves the concept of cumulant transformation and a standard homogenization procedure.

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