TY  - JOUR
AU  - Orive, Ramon
AU  - Pejčev, Aleksandar
AU  - Spalević, Miodrag
AU  - Mihić, Ljubica
PY  - 2022
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/88
AB  - In this paper, we consider the Gauss-Kronrod quadrature formulas for a modified Chebyshev weight. Efficient estimates of the error of these Gauss-Kronrod formulae for analytic functions are obtained, using techniques of contour integration that were introduced by Gautschi and Varga (cf. Gautschi and Varga SIAM J. Numer. Anal. 20, 1170-1186 1983). Some illustrative numerical examples which show both the accuracy of the Gauss-Kronrod formulas and the sharpness of our estimations are displayed. Though for the sake of brevity we restrict ourselves to the first kind Chebyshev weight, a similar analysis may be carried out for the other three Chebyshev type weights; part of the corresponding computations are included in a final appendix.
PB  - Springer, Dordrecht
T2  - Numerical Algorithms
T1  - On the Gauss-Kronrod quadrature formula for a modified weight function of Chebyshev type
DO  - 10.1007/s11075-022-01325-8
ER  - 

@article{
author = "Orive, Ramon and Pejčev, Aleksandar and Spalević, Miodrag and Mihić, Ljubica",
year = "2022",
abstract = "In this paper, we consider the Gauss-Kronrod quadrature formulas for a modified Chebyshev weight. Efficient estimates of the error of these Gauss-Kronrod formulae for analytic functions are obtained, using techniques of contour integration that were introduced by Gautschi and Varga (cf. Gautschi and Varga SIAM J. Numer. Anal. 20, 1170-1186 1983). Some illustrative numerical examples which show both the accuracy of the Gauss-Kronrod formulas and the sharpness of our estimations are displayed. Though for the sake of brevity we restrict ourselves to the first kind Chebyshev weight, a similar analysis may be carried out for the other three Chebyshev type weights; part of the corresponding computations are included in a final appendix.",
publisher = "Springer, Dordrecht",
journal = "Numerical Algorithms",
title = "On the Gauss-Kronrod quadrature formula for a modified weight function of Chebyshev type",
doi = "10.1007/s11075-022-01325-8"
}

Orive, R., Pejčev, A., Spalević, M.,& Mihić, L.. (2022). On the Gauss-Kronrod quadrature formula for a modified weight function of Chebyshev type. in Numerical Algorithms
Springer, Dordrecht..
https://doi.org/10.1007/s11075-022-01325-8

Orive R, Pejčev A, Spalević M, Mihić L. On the Gauss-Kronrod quadrature formula for a modified weight function of Chebyshev type. in Numerical Algorithms. 2022;.
doi:10.1007/s11075-022-01325-8 .

Orive, Ramon, Pejčev, Aleksandar, Spalević, Miodrag, Mihić, Ljubica, "On the Gauss-Kronrod quadrature formula for a modified weight function of Chebyshev type" in Numerical Algorithms (2022),
https://doi.org/10.1007/s11075-022-01325-8 . .