Pijeira-Cabrera, Héctor; Decalo-Salgado, Laura; Pérez-Yzquierdo, Ignacio Hessenberg-Sobolev matrices and Favard type theorem. (English) Zbl 1504.42081 Bull. Malays. Math. Sci. Soc. (2) 46, No. 1, Paper No. 40, 19 p. (2023). MSC: 42C05 33C47 44A60 30E05 11B37 47B35 PDFBibTeX XMLCite \textit{H. Pijeira-Cabrera} et al., Bull. Malays. Math. Sci. Soc. (2) 46, No. 1, Paper No. 40, 19 p. (2023; Zbl 1504.42081) Full Text: DOI arXiv
Díaz-González, Abel; Pijeira-Cabrera, Héctor; Quintero-Roba, Javier Electrostatic models for zeros of Laguerre-Sobolev polynomials. arXiv:2308.06304 Preprint, arXiv:2308.06304 [math.CA] (2023). MSC: 30C15 33C45 33C47 82B23 BibTeX Cite \textit{A. Díaz-González} et al., ``Electrostatic models for zeros of Laguerre-Sobolev polynomials'', Preprint, arXiv:2308.06304 [math.CA] (2023) Full Text: arXiv OA License
Pijeira-Cabrera, Héctor; Quintero-Roba, Javier; Toribio-Milane, Juan Differential properties of Jacobi-Sobolev polynomials and electrostatic interpretation. arXiv:2308.06171 Preprint, arXiv:2308.06171 [math.CA] (2023). MSC: 30C15 42C05 33C45 33C47 82B23 BibTeX Cite \textit{H. Pijeira-Cabrera} et al., ``Differential properties of Jacobi-Sobolev polynomials and electrostatic interpretation'', Preprint, arXiv:2308.06171 [math.CA] (2023) Full Text: DOI arXiv OA License
Díaz-González, Abel; Hernández, Juan; Pijeira-Cabrera, Héctor Sequentially-ordered Sobolev inner product and Laguerre-Sobolev polynomials. arXiv:2308.06166 Preprint, arXiv:2308.06166 [math.CA] (2023). MSC: 41A60 42C05 33C45 33C47 BibTeX Cite \textit{A. Díaz-González} et al., ``Sequentially-ordered Sobolev inner product and Laguerre-Sobolev polynomials'', Preprint, arXiv:2308.06166 [math.CA] (2023) Full Text: DOI arXiv OA License
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; Marcellán, Francisco; Pijeira-Cabrera, Héctor; Urbina, Wilfredo Discrete-continuous Jacobi-Sobolev spaces and Fourier series. (English) Zbl 1462.42047 Bull. Malays. Math. Sci. Soc. (2) 44, No. 2, 571-598 (2021). MSC: 42C10 42C05 33C45 42A20 46E35 PDFBibTeX XMLCite \textit{A. Díaz-González} et al., Bull. Malays. Math. Sci. Soc. (2) 44, No. 2, 571--598 (2021; Zbl 1462.42047) Full Text: DOI arXiv
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
Bello-Hernández, Manuel; Pijeira-Cabrera, Héctor; Rivero-Castillo, Daniel Iterated integrals and Borwein-Chen-Dilcher polynomials. (English) Zbl 1481.33009 Mediterr. J. Math. 17, No. 5, Paper No. 148, 19 p. (2020). MSC: 33C47 30C10 30C15 30E15 42C05 PDFBibTeX XMLCite \textit{M. Bello-Hernández} et al., Mediterr. J. Math. 17, No. 5, Paper No. 148, 19 p. (2020; Zbl 1481.33009) Full Text: DOI arXiv
Pijeira-Cabrera, Hector; Rivero-Castillo, Daniel Iterated integrals of Jacobi polynomials. (English) Zbl 1443.33024 Bull. Malays. Math. Sci. Soc. (2) 43, No. 3, 2745-2756 (2020). Reviewer: István Mező (Debrecen) MSC: 33C45 30C15 30E15 42C05 PDFBibTeX XMLCite \textit{H. Pijeira-Cabrera} and \textit{D. Rivero-Castillo}, Bull. Malays. Math. Sci. Soc. (2) 43, No. 3, 2745--2756 (2020; Zbl 1443.33024) Full Text: DOI Link
Gonzalez, A. Diaz; Lagomasino, G. Lopez; Cabrera, H. Pijeira Sobolev extremal polynomials with respect to mutually singular measures. arXiv:1710.02698 Preprint, arXiv:1710.02698 [math.CA] (2017). MSC: 42A05 30C15 33C47 BibTeX Cite \textit{A. D. Gonzalez} et al., ``Sobolev extremal polynomials with respect to mutually singular measures'', Preprint, arXiv:1710.02698 [math.CA] (2017) Full Text: arXiv OA License
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
Rivero-Castillo, Daniel; Pijeira, Héctor; Assunçao, Pedro Edge detection based on Krawtchouk polynomials. (English) Zbl 1358.94014 J. Comput. Appl. Math. 284, 244-250 (2015). MSC: 94A08 33C47 42C05 94A11 PDFBibTeX XMLCite \textit{D. Rivero-Castillo} et al., J. Comput. Appl. Math. 284, 244--250 (2015; Zbl 1358.94014) Full Text: DOI
Huertas, Edmundo J.; Marcellán, Francisco; Pijeira Cabrera, Héctor An electrostatic model for zeros of perturbed Laguerre polynomials. (English) Zbl 1301.33012 Proc. Am. Math. Soc. 142, No. 5, 1733-1747 (2014). Reviewer: Alicia Cachafeiro López (Vigo) MSC: 33C45 33C47 42C05 PDFBibTeX XMLCite \textit{E. J. Huertas} et al., Proc. Am. Math. Soc. 142, No. 5, 1733--1747 (2014; Zbl 1301.33012) Full Text: DOI
Borrego-Morell, J.; Pijeira-Cabrera, H. Orthogonality with respect to a Jacobi differential operator and applications. (English) Zbl 1304.42062 J. Math. Anal. Appl. 404, No. 2, 491-500 (2013). MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{J. Borrego-Morell} and \textit{H. Pijeira-Cabrera}, J. Math. Anal. Appl. 404, No. 2, 491--500 (2013; Zbl 1304.42062) Full Text: DOI arXiv
Marcellán, Francisco; Mendes, Ana; Pijeira, Héctor Bases of the space of solutions of some fourth-order linear difference equations: applications in rational approximation. (English) Zbl 1278.42035 J. Difference Equ. Appl. 19, No. 10, 1632-1644 (2013). Reviewer: Bujar Fejzullahu (Presevo) MSC: 42C05 33C47 PDFBibTeX XMLCite \textit{F. Marcellán} et al., J. Difference Equ. Appl. 19, No. 10, 1632--1644 (2013; Zbl 1278.42035) Full Text: DOI Link
Pijeira, Héctor; Quintana, Yamilet; Rodríguez, José M. Sobolev formal orthogonality on algebraic curves and extensions of favard theorem. (English) Zbl 1260.42018 Jaen J. Approx. 3, No. 2, 193-207 (2011). MSC: 42C05 11E39 15A63 30E05 PDFBibTeX XMLCite \textit{H. Pijeira} et al., Jaen J. Approx. 3, No. 2, 193--207 (2011; Zbl 1260.42018)
Bello Cruz, J. Y.; Pijeira Cabrera, H.; Márquez, C.; Urbina Romero, W. Sobolev-Gegenbauer-type orthogonality and a hydrodynamical interpretation. (English) Zbl 1231.42024 Integral Transforms Spec. Funct. 22, No. 10, 711-722 (2011). Reviewer: Alicia Cachafeiro López (Vigo) MSC: 42C05 33C45 33C47 76B99 PDFBibTeX XMLCite \textit{J. Y. Bello Cruz} et al., Integral Transforms Spec. Funct. 22, No. 10, 711--722 (2011; Zbl 1231.42024) 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
Díaz Mendoza, C.; Orive, R.; Pijeira Cabrera, H. Zeros and logarithmic asymptotics of Sobolev orthogonal polynomials for exponential weights. (English) Zbl 1177.42020 J. Comput. Appl. Math. 233, No. 3, 691-698 (2009). Reviewer: Stefan G. Samko (Faro) MSC: 42C05 PDFBibTeX XMLCite \textit{C. Díaz Mendoza} et al., J. Comput. Appl. Math. 233, No. 3, 691--698 (2009; Zbl 1177.42020) Full Text: DOI
Díaz Mendoza, C.; Orive, Ramon; Pijeira Cabrera, H. Asymptotically extremal polynomials with respect to varying weights and application to Sobolev orthogonality. (English) Zbl 1155.33006 J. Math. Anal. Appl. 346, No. 2, 480-488 (2008). Reviewer: Vladimir L. Makarov (Kyïv) MSC: 33C45 41A10 30C10 30C15 PDFBibTeX XMLCite \textit{C. Díaz Mendoza} et al., J. Math. Anal. Appl. 346, No. 2, 480--488 (2008; Zbl 1155.33006) Full Text: DOI Link
López Lagomasino, G.; Martínez-Finkelshtein, A.; Pérez Izquierdo, I.; Pijeira Cabrera, H. Strong asymptotics for Sobolev orthogonal polynomials in the complex plane. (English) Zbl 1154.33303 J. Math. Anal. Appl. 340, No. 1, 521-535 (2008). MSC: 33C45 33C47 PDFBibTeX XMLCite \textit{G. López Lagomasino} et al., J. Math. Anal. Appl. 340, No. 1, 521--535 (2008; Zbl 1154.33303) 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
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
Fundora Rolo, Alfredo; Pijeira Cabrera, Héctor; Urbina Romero, Wilfredo Asymptotic behavior of orthogonal polynomials primitives. (English) Zbl 1253.42019 Español, Luis (ed.) et al., Margarita mathematica en memoria de José Javier (Chicho) Guadalupe Hernández. Logroño: Universidad de la Rioja, Servicio de Publicaciones (ISBN 84-95301-56-3/hbk). 627-633 (2001). MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{A. Fundora Rolo} et al., in: Margarita mathematica en memoria de José Javier (Chicho) Guadalupe Hernández. Logroño: Universidad de la Rioja, Servicio de Publicaciones. 627--633 (2001; Zbl 1253.42019) Full Text: EMIS
Pijeira, Hector; Quintana, Yamilet; Urbina, Wilfredo Zero localization and asymptotic behavior of orthogonal polynomials of Jacobi-Sobolev. (English) Zbl 1046.33008 Rev. Colomb. Mat. 35, No. 2, 77-97 (2001). MSC: 33C45 41A10 42C05 46E35 46G10 PDFBibTeX XMLCite \textit{H. Pijeira} et al., Rev. Colomb. Mat. 35, No. 2, 77--97 (2001; Zbl 1046.33008)
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
Barrios Rolanía, D.; López Lagomasino, G.; Pijeira Cabrera, H. The moment problem for a Sobolev inner product. (English) Zbl 0980.44008 J. Approximation Theory 100, No. 2, 364-380 (1999). MSC: 44A60 PDFBibTeX XMLCite \textit{D. Barrios Rolanía} et al., J. Approx. Theory 100, No. 2, 364--380 (1999; Zbl 0980.44008) Full Text: DOI Link
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
López Lagomasino, G.; Pijeira Cabrera, H. Zero location and \(n\)th root asymptotics of Sobolev orthogonal polynomials. (English) Zbl 0949.42020 J. Approximation Theory 99, No. 1, 30-43 (1999). Reviewer: M.Idemen (İstanbul) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{G. López Lagomasino} and \textit{H. Pijeira Cabrera}, J. Approx. Theory 99, No. 1, 30--43 (1999; Zbl 0949.42020) Full Text: DOI
Martínez-Finkelshtein, Andrei; Moreno-Balcázar, Juan J.; Pijeira-Cabrera, Héctor Asymptotics for Gegenbauer-Sobolev type polynomials. (English) Zbl 0901.33001 Martínez Finkelshtein, Andrei (ed.) et al., Complex methods in approximation theory. Proceedings of the workshop, University of Almería, Spain, June 5–8, 1995. Almería: Univ. de Almería, Servicio de Publicaciones, Monografías Ciencia y Tecnología. 2, 85-91 (1997). Reviewer: J.Müller (Trier) MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{A. Martínez-Finkelshtein} et al., in: Complex methods in approximation theory. Proceedings of the workshop, University of Almería, Spain, June 5--8, 1995. Almería: Univ. de Almería, Servicio de Publicaciones. 85--91 (1997; Zbl 0901.33001)
Martínez-Finkelshtein, Andrei; Moreno-Balcázar, Juan J.; Pijeira-Cabrera, Héctor Strong asymptotics for Gegenbauer-Sobolev orthogonal polynomials. (English) Zbl 0895.33003 J. Comput. Appl. Math. 81, No. 2, 211-216 (1997). Reviewer: Roelof Koekoek (Delft) MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{A. Martínez-Finkelshtein} et al., J. Comput. Appl. Math. 81, No. 2, 211--216 (1997; Zbl 0895.33003) Full Text: DOI