1.
Calc Var Partial Differ Equ
; 61(5): 181, 2022.
Article
in English
| MEDLINE
| ID: mdl-35845980
ABSTRACT
A complete family of functional Steiner formulas is established. As applications, an explicit representation of functional intrinsic volumes using special mixed Monge-Ampère measures and a new version of the Hadwiger theorem on convex functions are obtained.
2.
Calc Var Partial Differ Equ
; 56(6): 162, 2017.
Article
in English
| MEDLINE
| ID: mdl-29104373
ABSTRACT
A classification of [Formula: see text] contravariant Minkowski valuations on convex functions and a characterization of the projection body operator are established. The associated LYZ measure is characterized. In addition, a new [Formula: see text] covariant Minkowski valuation on convex functions is defined and characterized.