Parity of Polynomial Multiplier Sequences for the Chebyshev Basis

Andrzej Piotrowski, Joshua Shterenberg

We demonstrate that if $p\in \mathbb{R}[x]$ and $p$ is not an even function, then $\{p(k){\}}_{k=0}^{\infty }$ is not a multiplier sequence for the basis of Chebyshev polynomials of th…