TY  - JOUR
TI  - A note on the transfinite diameter of Bernstein sets
AB  - A compact set $K ⊂ C^n$ is called Bernstein set if, for some constant M > 0 , the following inequality $||D^αP ||_K ≤ M |^α|(deg P )|^α|||P ||_K$ is satisfied for every multiindex α ∈ Nn and for every polynomial P . We provide here a lower bound for the transfinite diameter of Bernstein sets by using generalized extremal Leja points. Key words: Transfinite diameter, Bernstein and Markov sets, Pluripolar sets, Leja points
AU  - Yazici, Ozcan
DO  - 10.55730/1300-0098.3300
PY  - 2022
JO  - Turkish Journal of Mathematics
VL  - 46
IS  - 7
SN  - 1300-0098
SP  - 2761
EP  - 2765
DB  - TRDizin
UR  - http://search/yayin/detay/1142882
ER  -