Geodesic
Quadrature formulas for rational functions
Electronic transactions on numerical analysis, Tome 9 (1999), pp. 39-52
Let $\omega $be an L1-integrable function on [ - 1, 1] and let us denote 1 I$\omega (f) = f$ (x)$\omega (x)$dx, - 1 where f is any bounded integrable function with respect to the weight function $\omega $. We consider rational interpolatory quadrature formulas (RIQFs) where all the poles are preassigned and the interpolation is carried out along a table of points contained in [ - 1, 1].
Classification : 41A21, 42C05, 30E10
Keywords: weight functions, interpolatory quadrature formulas, orthogonal polynomials, multipoint pad$\acute $e-type approximants 
@article{ETNA_1999__9__a9,
     author = {Rodriguez,  F.Cala and Gonzalez-Vera,  P. and Paiz,  M.Jimenez},
     title = {Quadrature formulas for rational functions},
     journal = {Electronic transactions on numerical analysis},
     pages = {39--52},
     year = {1999},
     volume = {9},
     zbl = {0956.41017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_1999__9__a9/}
}
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Rodriguez,  F.Cala; Gonzalez-Vera,  P.; Paiz,  M.Jimenez. Quadrature formulas for rational functions. Electronic transactions on numerical analysis, Tome 9 (1999), pp. 39-52. http://geodesic.mathdoc.fr/item/ETNA_1999__9__a9/