Turkish Journal of Mathematics
Abstract
A compact set $K\subset \mathbb C^n$ is called Bernstein set if, for some constant $M>0$, the following inequality $$ D^{\alpha}P _K\leq M^{ \alpha }(\deg P)^{ \alpha } P _K $$ is satisfied for every multiindex $\alpha\in \mathbb N^n$ and for every polynomial $P$. We provide here a lower bound for the transfinite diameter of Bernstein sets by using generalized extremal Leja points.
DOI
10.55730/1300-0098.3300
Keywords
Transfinite diameter, Bernstein and Markov sets, Pluripolar sets, Leja points
First Page
2761
Last Page
2765
Recommended Citation
YAZICI, Ö (2022). A note on the transfinite diameter of Bernstein sets. Turkish Journal of Mathematics 46 (7): 2761-2765. https://doi.org/10.55730/1300-0098.3300
