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| Author(s) | Rața Ioan |
|---|
Estimates for the semigroup associated with Bernstein-Schnabl operators
We consider a differential operator of the form Au(x) = α(x)u”(x), 0 ≤ x ≤ 1. Under suitable assumptions, it generates a semigroup (T(t))t≥0 which can be approximated by iterates of the Bernstein-Schnabl operators. We obtain quantitative results concerning the behaviour of T(t) when t → 0 + and t → +∞.
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