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
García-Ardila, Juan C.; Marcellán, Francisco; Marriaga, Misael E. From standard orthogonal polynomials to Sobolev orthogonal polynomials: the role of semiclassical linear functionals. (English) Zbl 1443.33013 Foupouagnigni, Mama (ed.) et al., Orthogonal polynomials. Proceedings of the 2nd AIMS-Volkswagen Stiftung workshop on introduction to orthogonal polynomials and applications, Douala, Cameroon, October 5–12, 2018. Cham: Birkhäuser. Tutor. Sch. Workshops Math. Sci., 245-292 (2020). MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{J. C. García-Ardila} et al., in: Orthogonal polynomials. Proceedings of the 2nd AIMS-Volkswagen Stiftung workshop on introduction to orthogonal polynomials and applications, Douala, Cameroon, October 5--12, 2018. Cham: Birkhäuser. 245--292 (2020; Zbl 1443.33013) Full Text: DOI
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
Rodríguez, José M. Zeros of Sobolev orthogonal polynomials via Muckenhoupt inequality with three measures. (English) Zbl 1334.41011 Acta Appl. Math. 142, No. 1, 9-37 (2016). MSC: 41A10 46E35 PDFBibTeX XMLCite \textit{J. M. Rodríguez}, Acta Appl. Math. 142, No. 1, 9--37 (2016; Zbl 1334.41011) Full Text: DOI
Marcellán, Francisco; Xu, Yuan On Sobolev orthogonal polynomials. (English) Zbl 1351.33011 Expo. Math. 33, No. 3, 308-352 (2015). Reviewer: Jiří Hrivnák (Praha) MSC: 33C45 33C50 41A10 42C05 42C10 26C10 PDFBibTeX XMLCite \textit{F. Marcellán} and \textit{Y. Xu}, Expo. Math. 33, No. 3, 308--352 (2015; Zbl 1351.33011) Full Text: DOI arXiv
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
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
Colorado, E.; Pestana, D.; Rodríguez, J. M.; Romera, E. Muckenhoupt inequality with three measures and applications to Sobolev orthogonal polynomials. (English) Zbl 1316.42031 J. Math. Anal. Appl. 407, No. 2, 369-386 (2013). Reviewer: Alicia Cachafeiro López (Vigo) MSC: 42C05 42B25 46E35 PDFBibTeX XMLCite \textit{E. Colorado} et al., J. Math. Anal. Appl. 407, No. 2, 369--386 (2013; Zbl 1316.42031) Full Text: DOI arXiv
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
Pijeira Cabrera, H.; Bello Cruz, J.; Urbina Romero, W. On polar Legendre polynomials. (English) Zbl 1223.42021 Rocky Mt. J. Math. 40, No. 6, 2025-2036 (2010). Reviewer: Renato Alvarez-Nodarse (Sevilla) MSC: 42C05 PDFBibTeX XMLCite \textit{H. Pijeira Cabrera} et al., Rocky Mt. J. Math. 40, No. 6, 2025--2036 (2010; Zbl 1223.42021) Full Text: DOI arXiv
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
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
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
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
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
López Lagomasino, G.; Pijeira Cabrera, H.; Pérez Izquierdo, I. Sobolev orthogonal polynomials in the complex plane. (English) Zbl 0973.42015 J. Comput. Appl. Math. 127, No. 1-2, 219-230 (2001). Reviewer: Jürgen Müller (Trier) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{G. López Lagomasino} et al., J. Comput. Appl. Math. 127, No. 1--2, 219--230 (2001; Zbl 0973.42015) Full Text: DOI
Martínez Finkelshtein, Andrei; Pijeira Cabrera, Héctor Strong asymptotics for Sobolev orthogonal polynomials. (English) Zbl 0937.42011 J. Anal. Math. 78, 143-156 (1999). Reviewer: Marcel G.de Bruin (Delft) MSC: 42C05 PDFBibTeX XMLCite \textit{A. Martínez Finkelshtein} and \textit{H. Pijeira Cabrera}, J. Anal. Math. 78, 143--156 (1999; Zbl 0937.42011) Full Text: DOI