Error estimates of gaussian-type quadrature formulae for analytic functions on ellipses-a survey of recent results
Abstract
This paper presents a survey of recent results on error estimates of Gaussian-type quadrature formulas for analytic functions on confocal ellipses.
Keywords:
remainder term / error estimate / contour integral representation / analytic functionSource:
Electronic Transactions on Numerical Analysis, 2020, 53, 352-382Publisher:
- Kent State University, Kent
Funding / projects:
- Ministry of Science, Technological Development and Innovation of the Republic of Serbia, institutional funding - 200105 (University of Belgrade, Faculty of Mechanical Engineering) (RS-MESTD-inst-2020-200105)
DOI: 10.1553/etna_vol53s352
ISSN: 1068-9613
WoS: 000605216800009
Scopus: 2-s2.0-85085249355
Collections
Institution/Community
Mašinski fakultetTY - JOUR AU - Đukić, Dušan AU - Mutavdžić Đukić, Rada AU - Pejčev, Aleksandar AU - Spalević, Miodrag PY - 2020 UR - https://machinery.mas.bg.ac.rs/handle/123456789/3260 AB - This paper presents a survey of recent results on error estimates of Gaussian-type quadrature formulas for analytic functions on confocal ellipses. PB - Kent State University, Kent T2 - Electronic Transactions on Numerical Analysis T1 - Error estimates of gaussian-type quadrature formulae for analytic functions on ellipses-a survey of recent results EP - 382 SP - 352 VL - 53 DO - 10.1553/etna_vol53s352 ER -
@article{ author = "Đukić, Dušan and Mutavdžić Đukić, Rada and Pejčev, Aleksandar and Spalević, Miodrag", year = "2020", abstract = "This paper presents a survey of recent results on error estimates of Gaussian-type quadrature formulas for analytic functions on confocal ellipses.", publisher = "Kent State University, Kent", journal = "Electronic Transactions on Numerical Analysis", title = "Error estimates of gaussian-type quadrature formulae for analytic functions on ellipses-a survey of recent results", pages = "382-352", volume = "53", doi = "10.1553/etna_vol53s352" }
Đukić, D., Mutavdžić Đukić, R., Pejčev, A.,& Spalević, M.. (2020). Error estimates of gaussian-type quadrature formulae for analytic functions on ellipses-a survey of recent results. in Electronic Transactions on Numerical Analysis Kent State University, Kent., 53, 352-382. https://doi.org/10.1553/etna_vol53s352
Đukić D, Mutavdžić Đukić R, Pejčev A, Spalević M. Error estimates of gaussian-type quadrature formulae for analytic functions on ellipses-a survey of recent results. in Electronic Transactions on Numerical Analysis. 2020;53:352-382. doi:10.1553/etna_vol53s352 .
Đukić, Dušan, Mutavdžić Đukić, Rada, Pejčev, Aleksandar, Spalević, Miodrag, "Error estimates of gaussian-type quadrature formulae for analytic functions on ellipses-a survey of recent results" in Electronic Transactions on Numerical Analysis, 53 (2020):352-382, https://doi.org/10.1553/etna_vol53s352 . .