On the Markov inequality in the $L_2$-norm with Gegenbauer weight

Alexei Shadrin, Geno Nikolov, Dragomir Aleksov

Let $w_{\lambda }(t)=(1-t^2{)}^{\lambda -1/2}$, $\lambda >-1/2$, be the Gegenbauer weight function, and $\Vert \cdot \Vert$ denote the associated $L_2$-norm, i.e., $$ \Vert f\Vert:=\Big(\int_{-1}^{1}w_λ(t)\v…