Volume 53, pp. 352-382, 2020.
Error estimates of Gaussian-type quadrature formulae for analytic functions on ellipses-a survey of recent results
D. Lj. Djukić, R. M. Mutavdžić Djukić, A. V. Pejčev, and M. M. Spalević
Abstract
This paper presents a survey of recent results on error estimates of Gaussian-type quadrature formulas for analytic functions on confocal ellipses.
Full Text (PDF) [429 KB], BibTeX
Key words
error estimate, remainder term, analytic function, contour integral representation
AMS subject classifications
65D32, 65D30, 41A55
Links to the cited ETNA articles
[54] | Vol. 50 (2018), pp. 20-35 Rada M. Mutavdžić, Aleksandar V. Pejčev, and Miodrag M. Spalević: Error bounds for Kronrod extension of generalizations of Micchelli-Rivlin quadrature formula for analytic functions |
[68] | Vol. 45 (2016), pp. 371-404 Sotirios E. Notaris: Gauss-Kronrod quadrature formulae - A survey of fifty years of research |
ETNA articles which cite this article
Vol. 55 (2022), pp. 424-437 D. R. Jandrlić, D. M. Krtinić, Lj. V. Mihić, A. V. Pejčev, and M. M. Spalević: Error bounds for Gaussian quadrature formulae with Legendre weight function for analytic integrands |
Vol. 59 (2023), pp. 89-98 Aleksandar V. Pejčev: A note on “Error bounds of Gaussian quadrature formulae with Legendre weight function for analytic integrands” by M. M. Spalević et al. |
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