On linear combinations of Chebyshev polynomials

Dragan Stankov

We investigate an infinite sequence of polynomials of the form: \[a_0T_{n}(x)+a_{1}T_{n-1}(x)+\cdots+a_{m}T_{n-m}(x)\] where $(a_0,a_1,\dots ,a_m)$ is a fixed m-tuple of real numbe…