TY  - JOUR
AU  - Orive, Ramon
AU  - Pejčev, Aleksandar
AU  - Spalević, Miodrag
PY  - 2020
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/3401
AB  - In this paper, we consider the Gauss quadrature formulae corresponding to some modifications of each of the four Chebyshev weights, considered by Gautschi and Li in [4]. As it is well known, in the case of analytic integrands the error of these quadrature formulas can be represented as a contour integral with a complex kernel. We study the kernel of the mentioned quadrature formulas on suitable elliptic contours, in such a way that the behavior of its modulus is analyzed in a rather simple manner, allowing us to derive some effective error bounds. In addition, some numerical examples checking the accuracy of such error bounds are included.
PB  - Elsevier Science Inc, New York
T2  - Applied Mathematics and Computation
T1  - The error bounds of Gauss quadrature formulae for the modified weight functions of Chebyshev type
VL  - 369
DO  - 10.1016/j.amc.2019.124806
ER  - 

@article{
author = "Orive, Ramon and Pejčev, Aleksandar and Spalević, Miodrag",
year = "2020",
abstract = "In this paper, we consider the Gauss quadrature formulae corresponding to some modifications of each of the four Chebyshev weights, considered by Gautschi and Li in [4]. As it is well known, in the case of analytic integrands the error of these quadrature formulas can be represented as a contour integral with a complex kernel. We study the kernel of the mentioned quadrature formulas on suitable elliptic contours, in such a way that the behavior of its modulus is analyzed in a rather simple manner, allowing us to derive some effective error bounds. In addition, some numerical examples checking the accuracy of such error bounds are included.",
publisher = "Elsevier Science Inc, New York",
journal = "Applied Mathematics and Computation",
title = "The error bounds of Gauss quadrature formulae for the modified weight functions of Chebyshev type",
volume = "369",
doi = "10.1016/j.amc.2019.124806"
}

Orive, R., Pejčev, A.,& Spalević, M.. (2020). The error bounds of Gauss quadrature formulae for the modified weight functions of Chebyshev type. in Applied Mathematics and Computation
Elsevier Science Inc, New York., 369.
https://doi.org/10.1016/j.amc.2019.124806

Orive R, Pejčev A, Spalević M. The error bounds of Gauss quadrature formulae for the modified weight functions of Chebyshev type. in Applied Mathematics and Computation. 2020;369.
doi:10.1016/j.amc.2019.124806 .

Orive, Ramon, Pejčev, Aleksandar, Spalević, Miodrag, "The error bounds of Gauss quadrature formulae for the modified weight functions of Chebyshev type" in Applied Mathematics and Computation, 369 (2020),
https://doi.org/10.1016/j.amc.2019.124806 . .