Bello, Glenier; Bello-Hernández, Manuel Mean convergence of Lagrange interpolation. (English) Zbl 1519.41001 J. Approx. Theory 291, Article ID 105912, 7 p. (2023). Reviewer: Vitaliy Volchkov (Donetsk) MSC: 41A05 30A10 41A10 PDFBibTeX XMLCite \textit{G. Bello} and \textit{M. Bello-Hernández}, J. Approx. Theory 291, Article ID 105912, 7 p. (2023; Zbl 1519.41001) Full Text: DOI arXiv
Breuer, Jonathan; Seelig, Eyal On the spacing of zeros of paraorthogonal polynomials for singular measures. (English) Zbl 1454.42023 J. Approx. Theory 259, Article ID 105482, 20 p. (2020). Reviewer: Alexei Lukashov (Saratov) MSC: 42C05 PDFBibTeX XMLCite \textit{J. Breuer} and \textit{E. Seelig}, J. Approx. Theory 259, Article ID 105482, 20 p. (2020; Zbl 1454.42023) Full Text: DOI arXiv
Simanek, Brian Zero spacings of paraorthogonal polynomials on the unit circle. (English) Zbl 1440.42123 J. Approx. Theory 256, Article ID 105437, 8 p. (2020). MSC: 42C05 26C10 30J10 PDFBibTeX XMLCite \textit{B. Simanek}, J. Approx. Theory 256, Article ID 105437, 8 p. (2020; Zbl 1440.42123) Full Text: DOI arXiv
Bracciali, C. F.; Martínez-Finkelshtein, A.; Ranga, A. Sri; Veronese, D. O. Christoffel formula for kernel polynomials on the unit circle. (English) Zbl 1441.33008 J. Approx. Theory 235, 46-73 (2018). MSC: 33C47 30C10 PDFBibTeX XMLCite \textit{C. F. Bracciali} et al., J. Approx. Theory 235, 46--73 (2018; Zbl 1441.33008) Full Text: DOI arXiv
Derevyagin, Maxim A note on Wall’s modification of the Schur algorithm and linear pencils of Jacobi matrices. (English) Zbl 1461.47005 J. Approx. Theory 221, 1-21 (2017). Reviewer: Adhemar Bultheel (Leuven) MSC: 47A57 30E05 30B70 42C05 47B36 PDFBibTeX XMLCite \textit{M. Derevyagin}, J. Approx. Theory 221, 1--21 (2017; Zbl 1461.47005) Full Text: DOI arXiv
Castillo, K.; Costa, M. S.; Sri Ranga, A.; Veronese, D. O. A Favard type theorem for orthogonal polynomials on the unit circle from a three term recurrence formula. (English) Zbl 1291.42021 J. Approx. Theory 184, 146-162 (2014). MSC: 42C05 33C47 PDFBibTeX XMLCite \textit{K. Castillo} et al., J. Approx. Theory 184, 146--162 (2014; Zbl 1291.42021) Full Text: DOI arXiv
Costa, M. S.; Felix, H. M.; Sri Ranga, A. Orthogonal polynomials on the unit circle and chain sequences. (English) Zbl 1282.33017 J. Approx. Theory 173, 14-32 (2013). Reviewer: Renato Alvarez-Nodarse (Sevilla) MSC: 33C47 42C05 PDFBibTeX XMLCite \textit{M. S. Costa} et al., J. Approx. Theory 173, 14--32 (2013; Zbl 1282.33017) Full Text: DOI
Deckers, Karl; Lubinsky, Doron S. How poles of orthogonal rational functions affect their Christoffel functions. (English) Zbl 1254.42033 J. Approx. Theory 164, No. 9, 1184-1199 (2012). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{K. Deckers} and \textit{D. S. Lubinsky}, J. Approx. Theory 164, No. 9, 1184--1199 (2012; Zbl 1254.42033) Full Text: DOI
Deckers, Karl; Geronimo, Jeffrey S. Baxter’s difference systems and orthogonal rational functions. (English) Zbl 1252.42027 J. Approx. Theory 164, No. 8, 1085-1096 (2012). Reviewer: H.-J. Glaeske (Jena) MSC: 42C05 PDFBibTeX XMLCite \textit{K. Deckers} and \textit{J. S. Geronimo}, J. Approx. Theory 164, No. 8, 1085--1096 (2012; Zbl 1252.42027) Full Text: DOI
Lasarow, Andreas More on a class of extremal solutions of a moment problem for rational matrix-valued functions in the nondegenerate case. (English) Zbl 1234.30031 J. Approx. Theory 163, No. 7, 864-887 (2011). Reviewer: Florian-Horia Vasilescu (Villeneuve d’Ascq) MSC: 30E05 44A60 47A56 47A57 42C05 PDFBibTeX XMLCite \textit{A. Lasarow}, J. Approx. Theory 163, No. 7, 864--887 (2011; Zbl 1234.30031) Full Text: DOI Link
Deckers, Karl; Cantero, María José; Moral, Leandro; Velázquez, Luis An extension of the associated rational functions on the unit circle. (English) Zbl 1214.30021 J. Approx. Theory 163, No. 4, 524-546 (2011). MSC: 30E10 42C05 41A55 PDFBibTeX XMLCite \textit{K. Deckers} et al., J. Approx. Theory 163, No. 4, 524--546 (2011; Zbl 1214.30021) Full Text: DOI arXiv
Derevyagin, Maxim The Jacobi matrices approach to Nevanlinna-Pick problems. (English) Zbl 1211.30048 J. Approx. Theory 163, No. 2, 117-142 (2011). MSC: 30E05 47A57 PDFBibTeX XMLCite \textit{M. Derevyagin}, J. Approx. Theory 163, No. 2, 117--142 (2011; Zbl 1211.30048) Full Text: DOI arXiv
Bultheel, A.; González-Vera, P.; Hendriksen, E.; Njåstad, O. Growth properties of Nevanlinna matrices for rational moment problems. (English) Zbl 1210.44003 J. Approx. Theory 162, No. 12, 2184-2201 (2010). Reviewer: Florian-Horia Vasilescu (Villeneuve d’Ascq) MSC: 44A60 30E05 PDFBibTeX XMLCite \textit{A. Bultheel} et al., J. Approx. Theory 162, No. 12, 2184--2201 (2010; Zbl 1210.44003) Full Text: DOI Link
Beckermann, Bernhard; Derevyagin, Maxim; Zhedanov, Alexei The linear pencil approach to rational interpolation. (English) Zbl 1193.41001 J. Approx. Theory 162, No. 6, 1322-1346 (2010). Reviewer: H. P. Dikshit (Bhopal) MSC: 41A05 41A21 PDFBibTeX XMLCite \textit{B. Beckermann} et al., J. Approx. Theory 162, No. 6, 1322--1346 (2010; Zbl 1193.41001) Full Text: DOI arXiv
Witte, N. S. Bi-orthogonal systems on the unit circle, regular semi-classical weights and integrable systems. II. (English) Zbl 1185.37113 J. Approx. Theory 161, No. 2, 565-616 (2009). MSC: 37F10 33C45 PDFBibTeX XMLCite \textit{N. S. Witte}, J. Approx. Theory 161, No. 2, 565--616 (2009; Zbl 1185.37113) Full Text: DOI arXiv
Cruz-Barroso, Ruymán; Delvaux, Steven Orthogonal Laurent polynomials on the unit circle and snake-shaped matrix factorizations. (English) Zbl 1180.42016 J. Approx. Theory 161, No. 1, 65-87 (2009). MSC: 42C05 65F30 40C05 PDFBibTeX XMLCite \textit{R. Cruz-Barroso} and \textit{S. Delvaux}, J. Approx. Theory 161, No. 1, 65--87 (2009; Zbl 1180.42016) Full Text: DOI arXiv
Cantero, María José; Simon, Barry Poisson brackets of orthogonal polynomials. (English) Zbl 1200.41040 J. Approx. Theory 158, No. 1, 3-48 (2009). Reviewer: Radu Păltănea (Braşov) MSC: 41A99 53D05 15A21 15A99 37A10 42C05 PDFBibTeX XMLCite \textit{M. J. Cantero} and \textit{B. Simon}, J. Approx. Theory 158, No. 1, 3--48 (2009; Zbl 1200.41040) Full Text: DOI arXiv Link
Derevyagin, Maxim S.; Zhedanov, Alexei S. An operator approach to multipoint Padé approximations. (English) Zbl 1163.41002 J. Approx. Theory 157, No. 1, 70-88 (2009). Reviewer: Jacek Gilewicz (Marseille) MSC: 41A21 PDFBibTeX XMLCite \textit{M. S. Derevyagin} and \textit{A. S. Zhedanov}, J. Approx. Theory 157, No. 1, 70--88 (2009; Zbl 1163.41002) Full Text: DOI arXiv
Deckers, Karl; Bultheel, Adhemar Orthogonal rational functions and rational modifications of a measure on the unit circle. (English) Zbl 1173.30025 J. Approx. Theory 157, No. 1, 1-18 (2009). Reviewer: Luis Bernal González (Sevilla) MSC: 30E99 28C99 PDFBibTeX XMLCite \textit{K. Deckers} and \textit{A. Bultheel}, J. Approx. Theory 157, No. 1, 1--18 (2009; Zbl 1173.30025) Full Text: DOI
Wong, Manwah Lilian First and second kind paraorthogonal polynomials and their zeros. (English) Zbl 1116.33012 J. Approximation Theory 146, No. 2, 282-293 (2007). Reviewer: Alicia Cachafeiro López (Vigo) MSC: 33C45 42C05 33C47 PDFBibTeX XMLCite \textit{M. L. Wong}, J. Approx. Theory 146, No. 2, 282--293 (2007; Zbl 1116.33012) Full Text: DOI arXiv
Cantero, M. J.; Moral, L.; Velázquez, L. Measures on the unit circle and unitary truncations of unitary operators. (English) Zbl 1088.42013 J. Approximation Theory 139, No. 1-2, 430-468 (2006). MSC: 42C05 47B36 PDFBibTeX XMLCite \textit{M. J. Cantero} et al., J. Approx. Theory 139, No. 1--2, 430--468 (2006; Zbl 1088.42013) Full Text: DOI arXiv
Stoiciu, Mihai The statistical distribution of the zeros of random paraorthogonal polynomials on the unit circle. (English) Zbl 1088.42017 J. Approximation Theory 139, No. 1-2, 29-64 (2006). MSC: 42C05 82B44 PDFBibTeX XMLCite \textit{M. Stoiciu}, J. Approx. Theory 139, No. 1--2, 29--64 (2006; Zbl 1088.42017) Full Text: DOI arXiv
Van Deun, J.; Bultheel, A. Ratio asymptotics for orthogonal rational functions on an interval. (English) Zbl 1027.42018 J. Approximation Theory 123, No. 2, 162-172 (2003). MSC: 42C05 41A60 30C15 30D50 41A20 PDFBibTeX XMLCite \textit{J. Van Deun} and \textit{A. Bultheel}, J. Approx. Theory 123, No. 2, 162--172 (2003; Zbl 1027.42018) Full Text: DOI
Sri Ranga, A.; Van Assche, Walter Blumenthal’s theorem for Laurent orthogonal polynomials. (English) Zbl 1022.42014 J. Approximation Theory 117, No. 2, 255-278 (2002). Reviewer: Leonid Golinskii (Kharkov) MSC: 42C05 47B36 PDFBibTeX XMLCite \textit{A. Sri Ranga} and \textit{W. Van Assche}, J. Approx. Theory 117, No. 2, 255--278 (2002; Zbl 1022.42014) Full Text: DOI
Khrushchev, Sergei Schur’s algorithm, orthogonal polynomials, and convergence of Wall’s continued fractions in \(L^2(\mathbb{T})\). (English) Zbl 1048.42024 J. Approximation Theory 108, No. 2, 161-248 (2001). Reviewer: Lisa Lorentzen (Trondheim) MSC: 42C05 30B70 40A15 PDFBibTeX XMLCite \textit{S. Khrushchev}, J. Approx. Theory 108, No. 2, 161--248 (2001; Zbl 1048.42024) Full Text: DOI
Zhedanov, Alexei Biorthogonal rational functions and the generalized eigenvalue problem. (English) Zbl 1058.42502 J. Approximation Theory 101, No. 2, 303-329 (1999). MSC: 42C05 33C45 41A21 47B36 PDFBibTeX XMLCite \textit{A. Zhedanov}, J. Approx. Theory 101, No. 2, 303--329 (1999; Zbl 1058.42502) Full Text: DOI
Zhedanov, Alexei On the polynomials orthogonal on regular polygons. (English) Zbl 0932.33002 J. Approximation Theory 97, No. 1, 1-14 (1999). Reviewer: M.G.de Bruin (Delft) MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{A. Zhedanov}, J. Approx. Theory 97, No. 1, 1--14 (1999; Zbl 0932.33002) Full Text: DOI
Min, G. Lagrange interpolation and quadrature formula in rational systems. (English) Zbl 0912.41003 J. Approximation Theory 95, No. 1, 123-145 (1998). Reviewer: J.Gilewicz (Marseille) MSC: 41A05 41A20 65D32 PDFBibTeX XMLCite \textit{G. Min}, J. Approx. Theory 95, No. 1, 123--145 (1998; Zbl 0912.41003) Full Text: DOI
Cooper, S. Clement; Gustafson, Philip E. The strong Chebyshev distribution and orthogonal Laurent polynomials. (English) Zbl 0930.42011 J. Approximation Theory 92, No. 3, 361-378 (1998). Reviewer: W.Van Assche (Heverlee) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{S. C. Cooper} and \textit{P. E. Gustafson}, J. Approx. Theory 92, No. 3, 361--378 (1998; Zbl 0930.42011) Full Text: DOI
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav Orthogonal rational functions and nested disks. (English) Zbl 0878.42012 J. Approximation Theory 89, No. 3, 344-371 (1997). Reviewer: G.López Lagomasino (Leganes) MSC: 42C05 PDFBibTeX XMLCite \textit{A. Bultheel} et al., J. Approx. Theory 89, No. 3, 344--371 (1997; Zbl 0878.42012) Full Text: DOI Link
Jones, William B.; Thron, W. J.; Wyshinski, Nancy J. Asymptotic behavior of polynomials satisfying three-term recurrence relations. (English) Zbl 0767.40002 J. Approximation Theory 71, No. 1, 67-93 (1992). Reviewer: W.Van Assche (Heverlee) MSC: 40A15 30B70 33C45 42C05 PDFBibTeX XMLCite \textit{W. B. Jones} et al., J. Approx. Theory 71, No. 1, 67--93 (1992; Zbl 0767.40002) Full Text: DOI
Pan, K. On characterization theorems for measures associated with orthogonal systems of rational functions on the unit circle. (English) Zbl 0763.42016 J. Approximation Theory 70, No. 3, 265-272 (1992). Reviewer: M.G.de Bruin (Haarlem) MSC: 42C10 42C30 41A60 30C15 PDFBibTeX XMLCite \textit{K. Pan}, J. Approx. Theory 70, No. 3, 265--272 (1992; Zbl 0763.42016) Full Text: DOI
Pan, K.; Saff, E. B. Asymptotics for zeros of Szegő polynomials associated with trigonometric polynomial signals. (English) Zbl 0773.42017 J. Approximation Theory 71, No. 3, 239-251 (1992). Reviewer: L.Goras (Iaşi) MSC: 42C05 42A05 94A11 PDFBibTeX XMLCite \textit{K. Pan} and \textit{E. B. Saff}, J. Approx. Theory 71, No. 3, 239--251 (1992; Zbl 0773.42017) Full Text: DOI
Njåstad, Olav Contractive Laurent fractions and nested discs. (English) Zbl 0679.40002 J. Approximation Theory 56, No. 2, 134-151 (1989). Reviewer: A.Magnus MSC: 40A15 PDFBibTeX XMLCite \textit{O. Njåstad}, J. Approx. Theory 56, No. 2, 134--151 (1989; Zbl 0679.40002) Full Text: DOI
Njåstad, Olav Laurent continued fractions corresponding to pairs of power series. (English) Zbl 0689.30006 J. Approximation Theory 55, No. 2, 119-139 (1988). Reviewer: N.M.Temme MSC: 30B70 41A20 30E05 PDFBibTeX XMLCite \textit{O. Njåstad}, J. Approx. Theory 55, No. 2, 119--139 (1988; Zbl 0689.30006) Full Text: DOI