Turkish Journal of Mathematics
DOI
10.55730/1300-0098.3300
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.
Keywords
Transfinite diameter, Bernstein and Markov sets, Pluripolar sets, Leja points
First Page
2761
Last Page
2765
Recommended Citation
YAZICI, ÖZCAN
(2022)
"A note on the transfinite diameter of Bernstein sets,"
Turkish Journal of Mathematics: Vol. 46:
No.
7, Article 14.
https://doi.org/10.55730/1300-0098.3300
Available at:
https://journals.tubitak.gov.tr/math/vol46/iss7/14
