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
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
Borrego-Morell, J.; Pijeira-Cabrera, H. Differential orthogonality: Laguerre and Hermite cases with applications. (English) Zbl 1321.33011 J. Approx. Theory 196, 111-130 (2015). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 33C45 47E05 85A30 PDFBibTeX XMLCite \textit{J. Borrego-Morell} and \textit{H. Pijeira-Cabrera}, J. Approx. Theory 196, 111--130 (2015; Zbl 1321.33011) Full Text: DOI arXiv
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
Fejzullahu, B. Xh.; Marcellán, F.; Moreno-Balcázar, J. J. Jacobi-Sobolev orthogonal polynomials: asymptotics and a Cohen type inequality. (English) Zbl 1283.33006 J. Approx. Theory 170, 78-93 (2013). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{B. Xh. Fejzullahu} et al., J. Approx. Theory 170, 78--93 (2013; Zbl 1283.33006) 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
Fejzullahu, Bujar Xh. Asymptotic properties and Fourier expansions of orthogonal polynomials with a non-discrete Gegenbauer-Sobolev inner product. (English) Zbl 1190.33014 J. Approx. Theory 162, No. 2, 397-406 (2010). Reviewer: Alicia Cachafeiro López (Vigo) MSC: 33C45 42C05 33C47 PDFBibTeX XMLCite \textit{B. Xh. Fejzullahu}, J. Approx. Theory 162, No. 2, 397--406 (2010; Zbl 1190.33014) Full Text: DOI
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
López Lagomasino, G.; Español, F. Marcellán; Pijeira Cabrera, H. Logarithmic asymptotics of contracted Sobolev extremal polynomials on the real line. (English) Zbl 1106.41031 J. Approximation Theory 143, No. 1, 62-73 (2006). MSC: 41A60 46E35 PDFBibTeX XMLCite \textit{G. López Lagomasino} et al., J. Approx. Theory 143, No. 1, 62--73 (2006; Zbl 1106.41031) Full Text: DOI 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
Rodríguez, José M. Approximation by polynomials and smooth functions in Sobolev spaces with respect to measures. (English) Zbl 1014.41007 J. Approximation Theory 120, No. 2, 185-216 (2003). Reviewer: K.Malyutin (Sumy) MSC: 41A10 PDFBibTeX XMLCite \textit{J. M. Rodríguez}, J. Approx. Theory 120, No. 2, 185--216 (2003; Zbl 1014.41007) 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
Rodríguez, José M. The multiplication operator in Sobolev spaces with respect to measures. (English) Zbl 1014.42020 J. Approximation Theory 109, No. 2, 157-197 (2001). Reviewer: Walter Van Assche (Leuven) MSC: 42C05 46E35 PDFBibTeX XMLCite \textit{J. M. Rodríguez}, J. Approx. Theory 109, No. 2, 157--197 (2001; Zbl 1014.42020) Full Text: DOI
Rodríguez, José M. Weierstrass’ theorem in weighted Sobolev spaces. (English) Zbl 0978.41005 J. Approximation Theory 108, No. 2, 119-160 (2001). Reviewer: Renato Alvarez-Nodarse (Sevilla) MSC: 41A10 46E35 PDFBibTeX XMLCite \textit{J. M. Rodríguez}, J. Approx. Theory 108, No. 2, 119--160 (2001; Zbl 0978.41005) Full Text: DOI
Aptekarev, A.; Berriochoa, E.; Cachafeiro, A. Strong asymptotics for the continuous Sobolev orthogonal polynomials on the unit circle. (English) Zbl 0934.42017 J. Approximation Theory 100, No. 2, 381-391 (1999). Reviewer: Wiesław Pleśniak (Kraków) MSC: 42C05 30C45 PDFBibTeX XMLCite \textit{A. Aptekarev} et al., J. Approx. Theory 100, No. 2, 381--391 (1999; Zbl 0934.42017) Full Text: DOI
Martínez-Finkelshtein, Andrei; Moreno-Balcázar, Juan J.; Pérez, Teresa E.; Piñar, Miguel A. Asymptotics of Sobolev orthogonal polynomials for coherent pairs of measures. (English) Zbl 0898.42006 J. Approximation Theory 92, No. 2, 280-293 (1998). Reviewer: W.Van Assche (Heverlee) MSC: 42C05 PDFBibTeX XMLCite \textit{A. Martínez-Finkelshtein} et al., J. Approx. Theory 92, No. 2, 280--293 (1998; Zbl 0898.42006) Full Text: DOI