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Turkish Journal of Mathematics

Authors

ÖZCAN YAZICI

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.

First Page

2761

Last Page

2765

Included in

Mathematics Commons

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