Díaz-González, Abel; Pijeira-Cabrera, Héctor; Quintero-Roba, Javier Polynomials of least deviation from zero in Sobolev \(p\)-norm. (English) Zbl 1489.30003 Bull. Malays. Math. Sci. Soc. (2) 45, No. 2, 889-912 (2022). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 30C10 30C15 PDFBibTeX XMLCite \textit{A. Díaz-González} et al., Bull. Malays. Math. Sci. Soc. (2) 45, No. 2, 889--912 (2022; Zbl 1489.30003) Full Text: DOI arXiv
Díaz González, A.; López Lagomasino, G.; Pijeira Cabrera, H. Asymptotic zero distribution for a class of extremal polynomials. (English) Zbl 1465.42001 Bull. Math. Sci. 11, No. 1, Article ID 1950019, 18 p. (2021). MSC: 42A05 42C05 30C15 26C05 26C10 33C47 PDFBibTeX XMLCite \textit{A. Díaz González} et al., Bull. Math. Sci. 11, No. 1, Article ID 1950019, 18 p. (2021; Zbl 1465.42001) Full Text: DOI
Díaz-González, Abel; Pijeira-Cabrera, Héctor; Pérez-Yzquierdo, Ignacio Rational approximation and Sobolev-type orthogonality. (English) Zbl 1452.41006 J. Approx. Theory 260, Article ID 105481, 19 p. (2020). Reviewer: Francisco Marcellán (Leganes) MSC: 41A20 30E10 33C47 42C05 PDFBibTeX XMLCite \textit{A. Díaz-González} et al., J. Approx. Theory 260, Article ID 105481, 19 p. (2020; Zbl 1452.41006) Full Text: DOI arXiv
Marcellán, Francisco; Quintana, Yamilet; Rodríguez, José M. Weighted Sobolev spaces: Markov-type inequalities and duality. (English) Zbl 1404.33009 Bull. Math. Sci. 8, No. 2, 233-256 (2018). Reviewer: Alexei Lukashov (Saratov) MSC: 33C45 41A17 26C99 PDFBibTeX XMLCite \textit{F. Marcellán} et al., Bull. Math. Sci. 8, No. 2, 233--256 (2018; Zbl 1404.33009) Full Text: DOI
Quintana, Yamilet; Rodríguez, José M. Measurable diagonalization of positive definite matrices. (English) Zbl 1311.41004 J. Approx. Theory 185, 91-97 (2014). Reviewer: Bilal Bilalov (Baku) MSC: 41A10 46E35 46G10 PDFBibTeX XMLCite \textit{Y. Quintana} and \textit{J. M. Rodríguez}, J. Approx. Theory 185, 91--97 (2014; Zbl 1311.41004) Full Text: DOI
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
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
Rodriguez, Jose M. A simple characterization of weighted Sobolev spaces with bounded multiplication operator. (English) Zbl 1221.41007 J. Approx. Theory 153, No. 1, 53-72 (2008). Reviewer: Jesus Illán González (Vigo) MSC: 41A10 46E35 46G10 PDFBibTeX XMLCite \textit{J. M. Rodriguez}, J. Approx. Theory 153, No. 1, 53--72 (2008; Zbl 1221.41007) Full Text: DOI
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
Marcellán, Francisco; Moreno Balcázar, Juan José Asymptotics and zeros of Sobolev orthogonal polynomials on unbounded supports. (English) Zbl 1137.42312 Acta Appl. Math. 94, No. 2, 163-192 (2006). MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{F. Marcellán} and \textit{J. J. Moreno Balcázar}, Acta Appl. Math. 94, No. 2, 163--192 (2006; Zbl 1137.42312) Full Text: DOI arXiv Link
López Lagomasino, G.; Pérez Izquierdo, I.; Pijeira Cabrera, H. Asymptotic of extremal polynomials in the complex plane. (English) Zbl 1084.30043 J. Approximation Theory 137, No. 2, 226-237 (2005). Reviewer: Francisco Perez Acosta (La Laguna) MSC: 30E15 41A60 PDFBibTeX XMLCite \textit{G. López Lagomasino} et al., J. Approx. Theory 137, No. 2, 226--237 (2005; Zbl 1084.30043) Full Text: DOI Link
Portilla, Ana; Quintana, Yamilet; Rodríguez, José M.; Tourís, Eva Weierstrass’ theorem with weights. (English) Zbl 1045.41005 J. Approximation Theory 127, No. 1, 83-107 (2004). Reviewer: Ganesh Datta Dikshit (Auckland) MSC: 41A10 41A28 41A30 PDFBibTeX XMLCite \textit{A. Portilla} et al., J. Approx. Theory 127, No. 1, 83--107 (2004; Zbl 1045.41005) Full Text: DOI Link
Robert, Leonel; Santiago, Luis On a class of Sobolev scalar products in the polynomials. (English) Zbl 1042.42018 J. Approximation Theory 125, No. 2, 169-189 (2003). Reviewer: Renato Alvarez-Nodarse (Sevilla) MSC: 42C05 33C45 42C30 PDFBibTeX XMLCite \textit{L. Robert} and \textit{L. Santiago}, J. Approx. Theory 125, No. 2, 169--189 (2003; Zbl 1042.42018) Full Text: DOI
Castro, M.; Durán, A. J. Boundedness properties for Sobolev inner products. (English) Zbl 1016.42013 J. Approximation Theory 122, No. 1, 97-111 (2003). MSC: 42C05 PDFBibTeX XMLCite \textit{M. Castro} and \textit{A. J. Durán}, J. Approx. Theory 122, No. 1, 97--111 (2003; Zbl 1016.42013) Full Text: DOI
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
Duran, A. J.; Saff, E. B. Zero location for nonstandard orthogonal polynomials. (English) Zbl 1011.42013 J. Approximation Theory 113, No. 1, 127-141 (2001). Reviewer: Marcel G.de Bruin (Delft) MSC: 42C05 30C15 PDFBibTeX XMLCite \textit{A. J. Duran} and \textit{E. B. Saff}, J. Approx. Theory 113, No. 1, 127--141 (2001; Zbl 1011.42013) Full Text: DOI Link
Martínez-Finkelshtein, A. Analytic aspects of Sobolev orthogonal polynomials revisited. (English) Zbl 0971.33004 J. Comput. Appl. Math. 127, No. 1-2, 255-266 (2001). Reviewer: Laszlo Leindler (Szeged) MSC: 33C45 33-02 PDFBibTeX XMLCite \textit{A. Martínez-Finkelshtein}, J. Comput. Appl. Math. 127, No. 1--2, 255--266 (2001; Zbl 0971.33004) Full Text: DOI