… Many rational functions that are orthogonal with respect to the … for these orthonormal
rational functions can be used to … for this kind of quadrature rules to rational Gauss rules with …

… We also derive remainder terms for the rational Gauss and Gauss-Radau quadrature rules …
of rational Gauss quadrature rules with the aim to determine an expression for the quadrature …

… rational interpolatory quadrature formulas with certain kinds of quasi-orthogonal rational …
study the existence and construction of rational Gauss-type quadrature formulas for a given (…

… to allow the use of rational Gauss quadrature rules. © … Gauss quadrature rules that is exact
for certain rational functions with preselected poles. These rules are known as rational Gauss …

… INTRODUCTION Traditionally, Gaussian quadrature rules are … require exactness for
elementary rational functions having the … Gauss quadrature rules of this rational type have recently …

… a class of gaussian quadrature formulas on [−1, 1], based on orthogonal rational functions,
which … They are rational generalizations of the Gauss-Chebyshev formula, and are exact in a …

… This gives a quadrature with maximum accuracy, and we refer to it as Gaussian quadrature.
It is well known that both approaches are the same when one is using interpolation by polyno…

… Our quadrature scheme is based on a new rational representation of the integrands … butions
using library routines for Gauss quadrature of rational functions that are readily available in …

… results on rational Gauss-type quadrature rules. In Section 3, we introduce rational averaged
Gauss quadrature formulas and rational generalized averaged Gauss quadrature formulas. …

… We also define rational anti-Gauss quadrature rules and simplified rational anti-Gauss rules.
… We will use the rational Gauss quadrature rules described in [25] and define associated …