- Tytuł:
- Smoothing a polyhedral convex function via cumulant transformation and homogenization
- Autorzy:
- Seeger, Alberto
- Powiązania:
- https://bibliotekanauki.pl/articles/1294577.pdf
- Data publikacji:
- 1997
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
polyhedral convex function
smooth approximation
Laplace transformation
cumulant transformation
homogenization
recession function - Opis:
- Given a polyhedral convex function g: ℝⁿ → ℝ ∪ {+∞}, it is always possible to construct a family ${gₜ}_{t>0}$ which converges pointwise to g and such that each gₜ: ℝⁿ → ℝ is convex and infinitely often differentiable. The construction of such a family ${gₜ}_{t>0}$ involves the concept of cumulant transformation and a standard homogenization procedure.
- Źródło:
-
Annales Polonici Mathematici; 1997, 67, 3; 259-268
0066-2216 - Pojawia się w:
- Annales Polonici Mathematici
- Dostawca treści:
- Biblioteka Nauki
Artykuł