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Ciaurri, Ó.; Mínguez Ceniceros, J.; Rodríguez, J. M. On convergence of Fourier series in discrete Jacobi-Sobolev spaces. (English) Zbl 1519.42007 Integral Transforms Spec. Funct. 34, No. 9, 703-720 (2023). Reviewer: Sorin Gheorghe Gal (Oradea) MSC: 42A20 33C47 46E35 PDFBibTeX XMLCite \textit{Ó. Ciaurri} et al., Integral Transforms Spec. Funct. 34, No. 9, 703--720 (2023; Zbl 1519.42007) Full Text: DOI
Magomed-Kasumov, M. G. The uniform convergence of Fourier series in a system of polynomials orthogonal in the sense of Sobolev and associated to Jacobi polynomials. (English. Russian original) Zbl 1510.42006 Sib. Math. J. 64, No. 2, 338-346 (2023); translation from Sib. Mat. Zh. 64, No. 2, 339-349 (2023). MSC: 42A20 46E35 PDFBibTeX XMLCite \textit{M. G. Magomed-Kasumov}, Sib. Math. J. 64, No. 2, 338--346 (2023; Zbl 1510.42006); translation from Sib. Mat. Zh. 64, No. 2, 339--349 (2023) Full Text: DOI
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
Magomed-Kasumov, M. G. Sobolev orthogonal systems with two discrete points and Fourier series. (English. Russian original) Zbl 1484.42027 Russ. Math. 65, No. 12, 47-55 (2021); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2021, No. 12, 56-66 (2021). Reviewer: Rostom Getsadze (Uppsala) MSC: 42C10 42C05 33C45 42A20 46E35 PDFBibTeX XMLCite \textit{M. G. Magomed-Kasumov}, Russ. Math. 65, No. 12, 47--55 (2021; Zbl 1484.42027); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2021, No. 12, 56--66 (2021) Full Text: DOI
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, 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
Sultanakhmedov, M. S. Recurrence relations for Sobolev orthogonal polynomials. (English) Zbl 1466.42021 Probl. Anal. Issues Anal. 9(27), No. 2, 97-118 (2020). MSC: 42C05 26C05 33C47 PDFBibTeX XMLCite \textit{M. S. Sultanakhmedov}, Probl. Anal. Issues Anal. 9(27), No. 2, 97--118 (2020; Zbl 1466.42021) Full Text: DOI MNR
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
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
Filipuk, Galina; Mañas-Mañas, Juan F. A differential equation for varying Krall-type orthogonal polynomials. (English) Zbl 1437.33013 Random Matrices Theory Appl. 9, No. 1, Article ID 2040002, 15 p. (2020). MSC: 33C47 34A05 42C05 PDFBibTeX XMLCite \textit{G. Filipuk} and \textit{J. F. Mañas-Mañas}, Random Matrices Theory Appl. 9, No. 1, Article ID 2040002, 15 p. (2020; Zbl 1437.33013) Full Text: DOI
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
Filipuk, Galina; Mañas-Mañas, Juan F.; Moreno-Balcázar, Juan J. Ladder operators and a differential equation for varying generalized Freud-type orthogonal polynomials. (English) Zbl 1416.33021 Random Matrices Theory Appl. 7, No. 4, Article ID 1840005, 28 p. (2018). MSC: 33C47 34A05 42C05 PDFBibTeX XMLCite \textit{G. Filipuk} et al., Random Matrices Theory Appl. 7, No. 4, Article ID 1840005, 28 p. (2018; Zbl 1416.33021) Full Text: DOI
Dueñas Ruiz, Herbert; Marcellán Español, Francisco; Molano Molano, Alejandro Asymptotics of Sobolev orthogonal polynomials for Hermite (1,1)-coherent pairs. (English) Zbl 1398.33006 J. Math. Anal. Appl. 467, No. 1, 601-621 (2018). Reviewer: Thomas Ernst (Uppsala) MSC: 33C47 42C05 PDFBibTeX XMLCite \textit{H. Dueñas Ruiz} et al., J. Math. Anal. Appl. 467, No. 1, 601--621 (2018; Zbl 1398.33006) 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
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
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
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
Morell, Jorge Alberto Borrego On orthogonal polynomials with respect to a class of differential operators. (English) Zbl 1298.33017 Appl. Math. Comput. 219, No. 14, 7853-7871 (2013). Reviewer: Peter Massopust (München) MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{J. A. B. Morell}, Appl. Math. Comput. 219, No. 14, 7853--7871 (2013; Zbl 1298.33017) 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
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
Fejzullahu, Bujar Xh. A Cohen type inequality for Fourier expansions of orthogonal polynomials with a non-discrete Gegenbauer-Sobolev inner product. (English) Zbl 1210.42042 Math. Nachr. 284, No. 2-3, 240-254 (2011). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 42C05 42C10 33C45 PDFBibTeX XMLCite \textit{B. Xh. Fejzullahu}, Math. Nachr. 284, No. 2--3, 240--254 (2011; Zbl 1210.42042) 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
Leopold, Elie Asymptotic behaviours and general recurrence relations. (English) Zbl 1205.33015 Appl. Numer. Math. 60, No. 12, 1352-1363 (2010). MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{E. Leopold}, Appl. Numer. Math. 60, No. 12, 1352--1363 (2010; Zbl 1205.33015) Full Text: DOI
Fejzullahu, Bujar Xh.; Marcellán, Francisco A Cohen type inequality for Fourier expansions of orthogonal polynomials with a nondiscrete Jacobi-Sobolev inner product. (English) Zbl 1207.42022 J. Inequal. Appl. 2010, Article ID 128746, 22 p. (2010). MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{B. Xh. Fejzullahu} and \textit{F. Marcellán}, J. Inequal. Appl. 2010, Article ID 128746, 22 p. (2010; Zbl 1207.42022) Full Text: DOI EuDML
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
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
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
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
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
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
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; 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
Moreno-Balcázar, Juan J.; Martínez-Finkelshtein, Andrei Analytic properties of nondiagonal Jacobi-Sobolev orthogonal polynomials. (English) Zbl 0943.42014 J. Comput. Appl. Math. 105, No. 1-2, 393-401 (1999). Reviewer: Marcel G.de Bruin (Delft) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{J. J. Moreno-Balcázar} and \textit{A. Martínez-Finkelshtein}, J. Comput. Appl. Math. 105, No. 1--2, 393--401 (1999; Zbl 0943.42014) Full Text: DOI
Martínez-Finkelshtein, Andrei Asymptotic properties of Sobolev orthogonal polynomials. (English) Zbl 0933.42013 J. Comput. Appl. Math. 99, No. 1-2, 491-510 (1998). Reviewer: Arun Kumar Agarwal (Grambling) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{A. Martínez-Finkelshtein}, J. Comput. Appl. Math. 99, No. 1--2, 491--510 (1998; Zbl 0933.42013) 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
Marcellán, Francisco; Martínez-Finkelshtein, Andrei; Moreno-Balcázar, Juan Asymptotics of Sobolev orthogonal polynomials for symmetrically coherent pairs of measures with compact support. (English) Zbl 0885.42013 J. Comput. Appl. Math. 81, No. 2, 217-227 (1997). Reviewer: Roelof Koekoek (Delft) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{F. Marcellán} et al., J. Comput. Appl. Math. 81, No. 2, 217--227 (1997; Zbl 0885.42013) Full Text: DOI