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.

Vol. 61 (2024), pp. 121-136 Carlos F. Borges and Lothar Reichel: Computation of Gauss-type quadrature rules

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