Geodesic
On a connection between some trigonometric quadrature rules and Gauss-Radau formulas with respect to the Chebyshev weight
Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 39 (2014) no. 1 
G. V. Milovanović; D. Joksimović. On a connection between some trigonometric quadrature rules and Gauss-Radau formulas with respect to the Chebyshev weight. Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 39 (2014) no. 1. http://geodesic.mathdoc.fr/item/BASS_2014_39_1_a4/
@article{BASS_2014_39_1_a4,
     author = {G. V. Milovanovi\'c and D. Joksimovi\'c},
     title = {On a connection between some trigonometric quadrature rules and {Gauss-Radau} formulas with respect to the {Chebyshev} weight},
     journal = {Bulletin de l'Acad\'emie serbe des sciences. Classe des sciences math\'ematiques et naturelles},
     pages = {79 - 88},
     year = {2014},
     volume = {39},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/BASS_2014_39_1_a4/}
}
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Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

In this short note we prove that two trigonometric quadrature formulae which are very often in applications, are equivalent to the trigonometric version of the Gauss-Radau formulas with respect to the Chebyshev weight of the first kind on $(-1,1)$. Also, we give a short account on the classical results of Gauss-Radau quadrature rules which are related to the Chebyshev weight functions.