Bracciali, Cleonice F.; da Silva, Jéssica V.; Ranga, A. Sri A class of Sobolev orthogonal polynomials on the unit circle and associated continuous dual Hahn polynomials: bounds, asymptotics and zeros. (English) Zbl 1472.33007 J. Approx. Theory 268, Article ID 105604, 25 p. (2021). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 33C47 42C05 PDFBibTeX XMLCite \textit{C. F. Bracciali} et al., J. Approx. Theory 268, Article ID 105604, 25 p. (2021; Zbl 1472.33007) Full Text: DOI
Dueñas, Herbert; Fuentes, Edinson; Garza, Luis E. Matrix Uvarov transformation on the unit circle: asymptotic properties. (English) Zbl 1470.33008 Bull. Malays. Math. Sci. Soc. (2) 44, No. 1, 279-315 (2021). Reviewer: Manuel D. Domínguez de la Iglesia (Ciudad de México) MSC: 33C45 33D45 42C05 PDFBibTeX XMLCite \textit{H. Dueñas} et al., Bull. Malays. Math. Sci. Soc. (2) 44, No. 1, 279--315 (2021; Zbl 1470.33008) Full Text: DOI
Sri Ranga, Alagacone Orthogonal polynomials with respect to a family of Sobolev inner products on the unit circle. (English) Zbl 1337.42029 Proc. Am. Math. Soc. 144, No. 3, 1129-1143 (2016). Reviewer: Teresa A. Mesquita (Vila Nova de Famalicão) MSC: 42C05 33C47 33C45 PDFBibTeX XMLCite \textit{A. Sri Ranga}, Proc. Am. Math. Soc. 144, No. 3, 1129--1143 (2016; Zbl 1337.42029) Full Text: DOI Link
Castillo, Kenier; Marcellán, Francisco On some recent results on asymptotic behavior of orthogonal polynomials on the unit circle and inserting point masses. (English) Zbl 1335.42029 Daras, Nicholas J. (ed.) et al., Computation, cryptography, and network security. Cham: Springer (ISBN 978-3-319-18274-2/hbk; 978-3-319-18275-9/ebook). 75-101 (2015). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 42C05 33C47 PDFBibTeX XMLCite \textit{K. Castillo} and \textit{F. Marcellán}, in: Computation, cryptography, and network security. Cham: Springer. 75--101 (2015; Zbl 1335.42029) Full Text: DOI
Huertas, Edmundo J.; Marcellán, Francisco; Pérez-Valero, M. Francisca; Quintana, Yamilet Asymptotics for Laguerre-Sobolev type orthogonal polynomials modified within their oscillatory regime. (English) Zbl 1334.33025 Appl. Math. Comput. 236, 260-272 (2014). MSC: 33C45 PDFBibTeX XMLCite \textit{E. J. Huertas} et al., Appl. Math. Comput. 236, 260--272 (2014; Zbl 1334.33025) Full Text: DOI arXiv
Marcellán, Francisco; Pérez-Valero, M. Francisca; Quintana, Yamilet; Urieles, Alejandro Recurrence relations and outer relative asymptotics of orthogonal polynomials with respect to a discrete Sobolev type inner product. (English) Zbl 1309.42035 Bull. Math. Sci. 4, No. 1, 83-97 (2014). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{F. Marcellán} et al., Bull. Math. Sci. 4, No. 1, 83--97 (2014; Zbl 1309.42035) Full Text: DOI
Castillo, Kenier; Garza, Lino G.; Marcellán, Francisco On computational aspects of discrete Sobolev inner products on the unit circle. (English) Zbl 1329.65086 Appl. Math. Comput. 223, 452-460 (2013). MSC: 65F30 33C45 42A16 65T40 PDFBibTeX XMLCite \textit{K. Castillo} et al., Appl. Math. Comput. 223, 452--460 (2013; Zbl 1329.65086) Full Text: DOI Link
Portilla, Ana; Quintana, Yamilet; Rodríguez, José M.; Tourís, Eva Concerning asymptotic behavior for extremal polynomials associated to nondiagonal Sobolev norms. (English) Zbl 1267.41008 J. Funct. Spaces Appl. 2013, Article ID 628031, 11 p. (2013). MSC: 41A10 41A60 PDFBibTeX XMLCite \textit{A. Portilla} et al., J. Funct. Spaces Appl. 2013, Article ID 628031, 11 p. (2013; Zbl 1267.41008) Full Text: DOI
Castillo, Kenier; Garza, Luis E.; Marcellán, Francisco Asymptotic behaviour of Sobolev orthogonal polynomials on the unit circle. (English) Zbl 1273.42025 Integral Transforms Spec. Funct. 24, No. 1, 23-38 (2013). Reviewer: Nele De Schepper (Gent) MSC: 42C05 33C47 PDFBibTeX XMLCite \textit{K. Castillo} et al., Integral Transforms Spec. Funct. 24, No. 1, 23--38 (2013; Zbl 1273.42025) Full Text: DOI
Castillo, K.; Garza, L. E.; Marcellán, F. Zeros of Sobolev orthogonal polynomials on the unit circle. (English) Zbl 1254.33012 Numer. Algorithms 60, No. 4, 669-681 (2012). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 33C47 42C05 PDFBibTeX XMLCite \textit{K. Castillo} et al., Numer. Algorithms 60, No. 4, 669--681 (2012; Zbl 1254.33012) Full Text: DOI
Castillo, Kenier A new approach to relative asymptotic behavior for discrete Sobolev-type orthogonal polynomials on the unit circle. (English) Zbl 1242.42018 Appl. Math. Lett. 25, No. 6, 1000-1004 (2012). MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{K. Castillo}, Appl. Math. Lett. 25, No. 6, 1000--1004 (2012; Zbl 1242.42018) Full Text: DOI
Portilla, Ana; Quintana, Yamilet; Rodríguez, José M.; Tourís, Eva Zero location and asymptotic behavior for extremal polynomials with non-diagonal Sobolev norms. (English) Zbl 1225.33012 J. Approx. Theory 162, No. 12, 2225-2242 (2010). Reviewer: Lizhong Peng (Beijing) MSC: 33C47 42C05 33D45 PDFBibTeX XMLCite \textit{A. Portilla} et al., J. Approx. Theory 162, No. 12, 2225--2242 (2010; Zbl 1225.33012) Full Text: DOI
Portilla, Ana; Rodríguez, José M.; Tourís, Eva The multiplication operator, zero location and asymptotic for non-diagonal Sobolev norms. (English) Zbl 1200.33015 Acta Appl. Math. 111, No. 2, 205-218 (2010). Reviewer: Jacek Gilewicz (Marseille) MSC: 33C47 26C10 PDFBibTeX XMLCite \textit{A. Portilla} et al., Acta Appl. Math. 111, No. 2, 205--218 (2010; Zbl 1200.33015) Full Text: DOI Link
Rodriguez, Jose M.; Sigarreta, Jose M. Sobolev spaces with respect to measures in curves and zeros of Sobolev orthogonal polynomials. (English) Zbl 1169.41002 Acta Appl. Math. 104, No. 3, 325-353 (2008). Reviewer: Zoltán Finta (Cluj-Napoca) MSC: 41A10 46E35 46G10 PDFBibTeX XMLCite \textit{J. M. Rodriguez} and \textit{J. M. Sigarreta}, Acta Appl. Math. 104, No. 3, 325--353 (2008; Zbl 1169.41002) Full Text: DOI arXiv
Portilla, Ana; Quintana, Yamilet; Rodriguez, José M.; Touris, Eva Weierstrass’s theorem in weighted Sobolev spaces with \(k\) derivatives. (English) Zbl 1177.41007 Rocky Mt. J. Math. 37, No. 6, 1989-2024 (2007). Reviewer: Peter Lappan (East Lansing) MSC: 41A10 46E35 46G10 PDFBibTeX XMLCite \textit{A. Portilla} et al., Rocky Mt. J. Math. 37, No. 6, 1989--2024 (2007; Zbl 1177.41007) Full Text: DOI Euclid
Portilla, Ana; Quintana, Yamilet; Rodríguez, José M.; Tourís, Eva Weighted Weierstrass’ theorem with first derivatives. (English) Zbl 1221.46028 J. Math. Anal. Appl. 334, No. 2, 1167-1198 (2007). Reviewer: Delfina Roux (Milano) MSC: 46E30 46E35 PDFBibTeX XMLCite \textit{A. Portilla} et al., J. Math. Anal. Appl. 334, No. 2, 1167--1198 (2007; Zbl 1221.46028) Full Text: DOI Link
Alvarez, Venancio; Pestana, Domingo; Rodríguez, José M.; Romera, Elena Weighted Sobolev spaces on curves. (English) Zbl 1019.46026 J. Approximation Theory 119, No. 1, 41-85 (2002). Reviewer: Joan Cerdà (Barcelona) MSC: 46E35 42B35 PDFBibTeX XMLCite \textit{V. Alvarez} et al., J. Approx. Theory 119, No. 1, 41--85 (2002; Zbl 1019.46026) Full Text: DOI Link
Marcellán, F.; Moral, L. Sobolev-type orthogonal polynomials on the unit circle. (English) Zbl 1033.42025 Appl. Math. Comput. 128, No. 2-3, 329-363 (2002). Reviewer: Renato Alvarez-Nodarse (Sevilla) MSC: 42C05 PDFBibTeX XMLCite \textit{F. Marcellán} and \textit{L. Moral}, Appl. Math. Comput. 128, No. 2--3, 329--363 (2002; Zbl 1033.42025) Full Text: DOI