García-Ardila, Juan C.; Marriaga, Misael E. Approximation by polynomials in Sobolev spaces associated with classical moment functionals. (English) Zbl 07785649 Numer. Algorithms 95, No. 1, 285-318 (2024). MSC: 41A10 41A25 42C05 42C10 33C45 PDFBibTeX XMLCite \textit{J. C. García-Ardila} and \textit{M. E. Marriaga}, Numer. Algorithms 95, No. 1, 285--318 (2024; Zbl 07785649) Full Text: DOI OA License
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
Hjouji, Amal; EL-Mekkaoui, Jaouad The 2-orthogonal and orthogonal radial shape moments for image representation and recognition. (English) Zbl 07696245 J. Math. Imaging Vis. 65, No. 2, 277-301 (2023). MSC: 68U10 68T10 94A08 PDFBibTeX XMLCite \textit{A. Hjouji} and \textit{J. EL-Mekkaoui}, J. Math. Imaging Vis. 65, No. 2, 277--301 (2023; Zbl 07696245) 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
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
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
Daoui, Achraf; Yamni, Mohamed; El ogri, Omar; Karmouni, Hicham; Sayyouri, Mhamed; Qjidaa, Hassan Stable computation of higher order Charlier moments for signal and image reconstruction. (English) Zbl 07334712 Inf. Sci. 521, 251-276 (2020). MSC: 65D18 94A08 PDFBibTeX XMLCite \textit{A. Daoui} et al., Inf. Sci. 521, 251--276 (2020; Zbl 07334712) Full Text: DOI
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
Abdulhussain, Sadiq H.; Ramli, Abd Rahman; Mahmmod, Basheera M.; Saripan, M. Iqbal; Al-Haddad, S. A. R.; Jassim, Wissam A. A new hybrid form of Krawtchouk and Tchebichef polynomials: design and application. (English) Zbl 1443.33029 J. Math. Imaging Vis. 61, No. 4, 555-570 (2019). MSC: 33C47 94A08 PDFBibTeX XMLCite \textit{S. H. Abdulhussain} et al., J. Math. Imaging Vis. 61, No. 4, 555--570 (2019; Zbl 1443.33029) Full Text: DOI
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
Abdulhussain, Sadiq H.; Ramli, Abd Rahman; Al-Haddad, Syed Abdul Rahman; Mahmmod, Basheera M.; Jassim, Wissam A. Fast recursive computation of Krawtchouk polynomials. (English) Zbl 1400.33034 J. Math. Imaging Vis. 60, No. 3, 285-303 (2018). MSC: 33F05 94A12 PDFBibTeX XMLCite \textit{S. H. Abdulhussain} et al., J. Math. Imaging Vis. 60, No. 3, 285--303 (2018; Zbl 1400.33034) Full Text: DOI Link
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; 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
Rostamy, D.; Abdollahi, N. Gegenbauer cardinal functions for the inverse source parabolic problem with a time-fractional diffusion equation. (English) Zbl 07499746 J. Comput. Theor. Transp. 46, No. 5, 307-329 (2017). MSC: 82-XX PDFBibTeX XMLCite \textit{D. Rostamy} and \textit{N. Abdollahi}, J. Comput. Theor. Transp. 46, No. 5, 307--329 (2017; Zbl 07499746) 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
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
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
Kim, H. K.; Kwon, K. H.; Littlejohn, L. L.; Yoon, G. J. Diagonalizability and symmetrizability of Sobolev-type bilinear forms: a combinatorial approach. (English) Zbl 1300.05321 Linear Algebra Appl. 460, 111-124 (2014). MSC: 05E10 11E39 30E05 33C45 PDFBibTeX XMLCite \textit{H. K. Kim} et al., Linear Algebra Appl. 460, 111--124 (2014; Zbl 1300.05321) 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
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
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
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
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
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
Kwon, K. H.; Littlejohn, Lance L.; Yoon, G. J. Ghost matrices and a characterization of symmetric Sobolev bilinear forms. (English) Zbl 1214.15016 Linear Algebra Appl. 431, No. 1-2, 104-119 (2009). MSC: 15A63 05A15 35A25 PDFBibTeX XMLCite \textit{K. H. Kwon} et al., Linear Algebra Appl. 431, No. 1--2, 104--119 (2009; Zbl 1214.15016) Full Text: DOI
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
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
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.; 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
Osilenker, B. P. An extremal problem for algebraic polynomials in the symmetric discrete Gegenbauer–Sobolev space. (English. Russian original) Zbl 1165.46014 Math. Notes 82, No. 3, 366-379 (2007); translation from Mat. Zametki 82, No. 3, 411-425 (2007). MSC: 46E39 33C45 PDFBibTeX XMLCite \textit{B. P. Osilenker}, Math. Notes 82, No. 3, 366--379 (2007; Zbl 1165.46014); translation from Mat. Zametki 82, No. 3, 411--425 (2007) 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
Marcellán, Francisco; Szafraniec, Franciszek Hugon A matrix algorithm towards solving the moment problem of Sobolev type. (English) Zbl 0980.65049 Linear Algebra Appl. 331, No. 1-3, 155-164 (2001). Reviewer: F.Szidarovszky (Tucson) MSC: 65F30 PDFBibTeX XMLCite \textit{F. Marcellán} and \textit{F. H. Szafraniec}, Linear Algebra Appl. 331, No. 1--3, 155--164 (2001; Zbl 0980.65049) Full Text: DOI
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
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