Bernstein-Walsh inequalities in higher dimensions over exponential curves

Shirali Kadyrov, Mark Lawrence

Let $\mathbf{x}=(x_1,\dots ,x_d)\in [-1,1{]}^d$ be linearly independent over $\mathbb{Z}$, set $K=\{(e^z,e^{x_{1}z},e^{x_{2}z}\dots ,e^{x_{d}z}):|z|\le 1\}.$ We prove sharp estimates for…