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Abstract We analyze positive quadrature formulas associated with Geronimus measures supported on an arc of the unit circle that exactly integrate certain subspaces of Laurent polynomials with the highest possible dimension.The quasi-paraorthogonal polynomials associated with these measures will play a fundamental role inthe case of quadrature rules with one node (Szego-Radau) or two nodes (Szego-Lobatto) preselected at the end points of the arc. MSC Classification: 41A21 30C15 41A25 30E10
Bultheel et al. (Thu,) studied this question.