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Degenerate elliptic operators, Feller semigroups and modified Bernstein‐Schnabl operators
Mathematische Nachrichten, 2011AbstractIn this paper we study a class of elliptic second‐order differential operators on finite dimensional convex compact sets whose principal part degenerates on a subset of the boundary of the domain. We show that the closures of these operators generate Feller semigroups.Moreover, we approximate these semigroups by iterates of suitable positive ...
ALTOMARE, Francesco +2 more
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A new representation and shape‐preserving properties of perturbed Bernstein operators
Mathematical methods in the applied sciences, 2023We introduce a new representation of recently introduced perturbed Bernstein operators BnM$$ {B}_n^M $$ in terms of classical Bernstein operators.
A. Acu +3 more
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