Discrete orthogonal polynomials on Gauss–Lobatto Chebyshev nodes

In this paper, we present explicit formulas for discrete orthogonal polynomials over the so-called Gauss–Lobatto Chebyshev points. In particular, this allows us to compute the coefficient in the three-terms recurrence relation and the explicit formulas for the discrete inner product. The paper also contains numerical examples related to the least-squares problems.