Lobatto and Radau positive quadrature formulas for linear combinations of Jacobi polynomials

Jorge Bustamante, José M. Quesada, Reinaldo Martíez-Cruz

For a given $\theta \in (-1,1)$, we find out all parameters $\alpha ,\beta \in \{0,1\}$ such that, there exists a linear combination of Jacobi polynomials $J_{n+1}^{(\alpha ,\beta )}(x)-C{J}_n^{(\alpha ,\beta )}(x)$ wh…