Geodesic
Error bounds of some Gauss-turan-kronrod quadratures with Gori-micchelli weights for analytic functions
Kragujevac Journal of Mathematics, Tome 30 (2007), p. 221

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We study the kernels $K_{n,s}(z)$ of the remainder term $R_{n,s}(f)$ of some Gauss--Tur�n--Kronrod quadrature rules for analytic functions when the weight function is the chosen subclass of Gori--Micchelli weight functions. We investigate the location on the elliptic contours where the modulus of the kernel attains its maximum value, which leads to effective error bounds of Gauss--Tur�n--Kronrod quadratures.
Keywords: Gauss-Turan-Kronrod quadratures, Gori-Micchelli weights, analytic functions, weight function 
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     author = {Gradimir V. Milovanovi\'c and Miodrag M. Spalevi\'c and Miroslav S. Prani\'c},
     title = {Error bounds of some {Gauss-turan-kronrod} quadratures with {Gori-micchelli} weights for analytic functions},
     journal = {Kragujevac Journal of Mathematics},
     pages = {221 },
     publisher = {mathdoc},
     volume = {30},
     year = {2007},
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     url = {http://geodesic.mathdoc.fr/item/KJM_2007_30_a15/}
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Gradimir V. Milovanović; Miodrag M. Spalević; Miroslav S. Pranić. Error bounds of some Gauss-turan-kronrod quadratures with Gori-micchelli weights for analytic functions. Kragujevac Journal of Mathematics, Tome 30 (2007), p. 221 . http://geodesic.mathdoc.fr/item/KJM_2007_30_a15/