Djukić, D. Lj.; Djukić, R. M. Mutavdžić; Pejčev, A. V.; Spalević, M. M. Error estimates of Gaussian-type quadrature formulae for analytic functions on ellipses – survey of recent results. (English) Zbl 1451.65023 ETNA, Electron. Trans. Numer. Anal. 53, 352-382 (2020). MSC: 65D32 65D30 41A55 PDFBibTeX XMLCite \textit{D. Lj. Djukić} et al., ETNA, Electron. Trans. Numer. Anal. 53, 352--382 (2020; Zbl 1451.65023) Full Text: DOI Link
van Diejen, J. F.; Emsiz, E. Exact cubature rules for symmetric functions. (English) Zbl 1440.65037 Math. Comput. 88, No. 317, 1229-1249 (2019). Reviewer: Adhemar Bultheel (Leuven) MSC: 65D32 05E05 15B52 33C52 33D52 65T40 PDFBibTeX XMLCite \textit{J. F. van Diejen} and \textit{E. Emsiz}, Math. Comput. 88, No. 317, 1229--1249 (2019; Zbl 1440.65037) Full Text: DOI arXiv
Djukić, Dušan Lj.; Pejčev, Aleksandar V.; Spalević, Miodrag M. The error bounds of Gauss-Kronrod quadrature formulae for weight functions of Bernstein-Szegö type. (English) Zbl 06860400 Numer. Algorithms 77, No. 4, 1003-1028 (2018). MSC: 65D32 PDFBibTeX XMLCite \textit{D. Lj. Djukić} et al., Numer. Algorithms 77, No. 4, 1003--1028 (2018; Zbl 06860400) Full Text: DOI
Pejčev, Aleksandar V.; Spalević, Miodrag M. The error bounds of Gauss-Radau quadrature formulae with Bernstein-Szegő weight functions. (English) Zbl 1365.41018 Numer. Math. 133, No. 1, 177-201 (2016). Reviewer: Liu Zheng (Anshan) MSC: 41A55 65D30 65D32 PDFBibTeX XMLCite \textit{A. V. Pejčev} and \textit{M. M. Spalević}, Numer. Math. 133, No. 1, 177--201 (2016; Zbl 1365.41018) Full Text: DOI
Spalević, Miodrag M. Error bounds of Gaussian quadrature formulae for one class of Bernstein-Szegő weights. (English) Zbl 1281.41018 Math. Comput. 82, No. 282, 1037-1056 (2013). Reviewer: Ana-Maria Acu (Sibiu) MSC: 41A55 65D30 65D32 PDFBibTeX XMLCite \textit{M. M. Spalević}, Math. Comput. 82, No. 282, 1037--1056 (2013; Zbl 1281.41018) Full Text: DOI
Spalević, Miodrag M.; Pranić, Miroslav S.; Pejčev, Aleksandar V. Maximum of the modulus of kernels of Gaussian quadrature formulae for one class of Bernstein-Szegö weight functions. (English) Zbl 1257.41020 Appl. Math. Comput. 218, No. 9, 5746-5756 (2012). Reviewer: Daniela Roşca (Cluj-Napoca) MSC: 41A55 PDFBibTeX XMLCite \textit{M. M. Spalević} et al., Appl. Math. Comput. 218, No. 9, 5746--5756 (2012; Zbl 1257.41020) Full Text: DOI
Peherstorfer, Franz Positive trigonometric quadrature formulas and quadrature on the unit circle. (English) Zbl 1221.42003 Math. Comput. 80, No. 275, 1685-1701 (2011). Reviewer: Manfred Tasche (Rostock) MSC: 42A15 41A55 42C05 PDFBibTeX XMLCite \textit{F. Peherstorfer}, Math. Comput. 80, No. 275, 1685--1701 (2011; Zbl 1221.42003) Full Text: DOI arXiv
De La Calle Ysern, B.; Lagomasino, G. López; Reichel, L. Stieltjes-type polynomials on the unit circle. (English) Zbl 1198.65049 Math. Comput. 78, No. 266, 969-997 (2009). MSC: 65D32 42A10 42C05 30E20 PDFBibTeX XMLCite \textit{B. De La Calle Ysern} et al., Math. Comput. 78, No. 266, 969--997 (2009; Zbl 1198.65049) Full Text: DOI
Milovanović, Gradimir V.; Spalević, Miodrag M.; Pranić, Miroslav S. On the remainder term of Gauss-Radau quadratures for analytic functions. (English) Zbl 1147.41009 J. Comput. Appl. Math. 218, No. 2, 281-289 (2008). Reviewer: Szymon Wąsowicz (Bielsko-Biała) MSC: 41A55 65D30 65D32 PDFBibTeX XMLCite \textit{G. V. Milovanović} et al., J. Comput. Appl. Math. 218, No. 2, 281--289 (2008; Zbl 1147.41009) Full Text: DOI
Milovanović, Gradimir V.; Spalević, Miodrag M. Gauss-Tur’an quadratures of Kronrod type for generalized Chebyshev weight functions. (English) Zbl 1137.65014 Calcolo 43, No. 3, 171-195 (2006). Reviewer: Jesus Illán González (Vigo) MSC: 65D30 65D32 41A55 PDFBibTeX XMLCite \textit{G. V. Milovanović} and \textit{M. M. Spalević}, Calcolo 43, No. 3, 171--195 (2006; Zbl 1137.65014) Full Text: DOI
Darius, L.; González-Vera, P.; Jiménez Paiz, M. Quadrature formulas associated with rational modifications of the Chebyshev weight functions. (English) Zbl 1105.65026 Comput. Math. Appl. 51, No. 3-4, 419-430 (2006). Reviewer: Dumitru Acu (Sibiu) MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{L. Darius} et al., Comput. Math. Appl. 51, No. 3--4, 419--430 (2006; Zbl 1105.65026) Full Text: DOI
Beardon, A. F.; Driver, K. A. The zeros of linear combinations of orthogonal polynomials. (English) Zbl 1088.42012 J. Approximation Theory 137, No. 2, 179-186 (2005). Reviewer: Aleksey A. Dovgoshey (Donetsk) MSC: 42C05 65D32 PDFBibTeX XMLCite \textit{A. F. Beardon} and \textit{K. A. Driver}, J. Approx. Theory 137, No. 2, 179--186 (2005; Zbl 1088.42012) Full Text: DOI
Milovanović, G. V.; Spalević, M. M. An Error expansion for some Gauss-Turán quadratures and \(L^1\)-estimates of the remainder term. (English) Zbl 1082.41022 BIT 45, No. 1, 117-136 (2005). Reviewer: Pablo Gonzalez-Vera (La Laguna) MSC: 41A55 65D30 65D32 PDFBibTeX XMLCite \textit{G. V. Milovanović} and \textit{M. M. Spalević}, BIT 45, No. 1, 117--136 (2005; Zbl 1082.41022) Full Text: DOI
Milovanović, Gradimir V.; Spalević, Miodrag M. Error bounds for Gauss-Turán quadrature formulae of analytic functions. (English) Zbl 1030.41018 Math. Comput. 72, No. 244, 1855-1872 (2003). Reviewer: Luigi Gatteschi (Torino) MSC: 41A55 65D30 65D32 PDFBibTeX XMLCite \textit{G. V. Milovanović} and \textit{M. M. Spalević}, Math. Comput. 72, No. 244, 1855--1872 (2003; Zbl 1030.41018) Full Text: DOI
Hunter, David; Nikolov, Geno On the error term of symmetric Gauss-Lobatto quadrature formulae for analytic functions. (English) Zbl 0946.41019 Math. Comput. 69, No. 229, 269-282 (2000). Reviewer: J.Kofroň (Praha) MSC: 41A55 65D30 PDFBibTeX XMLCite \textit{D. Hunter} and \textit{G. Nikolov}, Math. Comput. 69, No. 229, 269--282 (2000; Zbl 0946.41019) Full Text: DOI
Schira, Thomas The remainder term for analytic functions of symmetric Gaussian quadratures. (English) Zbl 0854.41025 Math. Comput. 66, No. 217, 297-310 (1997). MSC: 41A55 65D30 65D32 PDFBibTeX XMLCite \textit{T. Schira}, Math. Comput. 66, No. 217, 297--310 (1997; Zbl 0854.41025) Full Text: DOI
Peherstorfer, Franz On the asymptotic behaviour of functions of the second kind and Stieltjes polynomials and on the Gauss-Kronrod quadrature formulas. (English) Zbl 0760.41020 J. Approximation Theory 70, No. 2, 156-190 (1992). Reviewer: P.Narain (Bombay) MSC: 41A55 PDFBibTeX XMLCite \textit{F. Peherstorfer}, J. Approx. Theory 70, No. 2, 156--190 (1992; Zbl 0760.41020) Full Text: DOI