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
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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. 
@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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%J Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles
%D 2014
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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/