Edit Profile (opens in new tab) Berriochoa, Elías Co-Author Distance Author ID: berriochoa.elias Published as: Berriochoa, E.; Berriochoa, Elías Documents Indexed: 51 Publications since 1998 Co-Authors: 9 Co-Authors with 51 Joint Publications 317 Co-Co-Authors all top 5 Co-Authors 0 single-authored 51 Cachafeiro, Alicia 13 García-Amor, José M. 7 Díaz, Jaime 5 Marcellán Español, Francisco 2 Amor, J. M. García 2 Aptekarev, Alexander Ivanovich 2 Illán González, Jesús 2 Martínez-Brey, E. 1 García Rábade, H. all top 5 Serials 14 Journal of Computational and Applied Mathematics 6 Computers & Mathematics with Applications 3 Applied Mathematics and Computation 3 Integral Transforms and Special Functions 2 Journal of Approximation Theory 2 Acta Mathematica Hungarica 2 Acta Applicandae Mathematicae 2 ETNA. Electronic Transactions on Numerical Analysis 2 Journal of Applied Mathematics 1 Journal of Mathematical Analysis and Applications 1 International Journal of Mathematics and Mathematical Sciences 1 Results in Mathematics 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Complex Variables. Theory and Application 1 Constructive Approximation 1 Numerical Algorithms 1 Methods and Applications of Analysis 1 Journal of Difference Equations and Applications 1 Journal of Inequalities and Applications 1 Complex Analysis and Operator Theory 1 ISRN Mathematical Analysis 1 Open Mathematics all top 5 Fields 37 Harmonic analysis on Euclidean spaces (42-XX) 26 Special functions (33-XX) 19 Approximations and expansions (41-XX) 18 Numerical analysis (65-XX) 5 Functions of a complex variable (30-XX) 1 Real functions (26-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 39 Publications have been cited 127 times in 62 Documents Cited by ▼ Year ▼ Connection between orthogonal polynomials on the unit circle and bounded interval. Zbl 1066.33009 Berriochoa, E.; Cachafeiro, A.; García-Amor, J. 10 2005 Lebesgue Sobolev orthogonality on the unit circle. Zbl 0933.42011 Berriochoa, E.; Cachafeiro, A. 8 1998 Strong asymptotics for the continuous Sobolev orthogonal polynomials on the unit circle. Zbl 0934.42017 Aptekarev, A.; Berriochoa, E.; Cachafeiro, A. 8 1999 Some improvements to the Hermite-Fejér interpolation on the circle and bounded interval. Zbl 1217.65028 Berriochoa, E.; Cachafeiro, A.; Brey, E. Martínez 8 2011 A family of Sobolev orthogonal polynomials on the unit circle. Zbl 0952.42013 Berriochoa, E.; Cachafeiro, A. 7 1999 Algorithms for solving Hermite interpolation problems using the fast Fourier transform. Zbl 1215.33009 Berriochoa, Elías; Cachafeiro, Alicia 6 2010 A characterization of the four Chebyshev orthogonal families. Zbl 1082.42014 Berriochoa, E.; Cachafeiro, A.; Garcia-Amor, J. M. 5 2005 Algorithms and convergence for Hermite interpolation based on extended Chebyshev nodal systems. Zbl 1303.65004 Berriochoa, E.; Cachafeiro, A.; Díaz, J.; Illán, J. 5 2014 Gibbs phenomenon in the Hermite interpolation on the circle. Zbl 1338.41002 Berriochoa, E.; Cachafeiro, A.; Díaz, J. 5 2015 Rate of convergence of Hermite-Fejér interpolation on the unit circle. Zbl 1266.41002 Berriochoa, E.; Cachafeiro, A.; Díaz, J.; Martínez-Brey, E. 5 2013 Strong asymptotics inside the unit disk for Sobolev orthogonal polynomials. Zbl 1229.33021 Berriochoa, E.; Cachafeiro, A. 4 2002 Convergence of Hermite interpolants on the circle using two derivatives. Zbl 1312.41004 Berriochoa, E.; Cachafeiro, A.; Díaz, J. 4 2015 An extension of Fejér’s condition for Hermite interpolation. Zbl 1276.42006 Berriochoa, Elías; Cachafeiro, Alicia; García-Amor, José M. 4 2012 On the strong asymptotics for Sobolev orthogonal polynomials on the circle. Zbl 1015.42017 Berriochoa, E.; Cachafeiro, A. 4 2003 Asymptotic behavior inside the disk for Lebesgue Sobolev orthogonal polynomials. Zbl 1007.42017 Berriochoa, E.; Cachafeiro, A. 3 2002 New quadrature rules for Bernstein measures on the interval \([-1,1]\). Zbl 1176.33016 Berriochoa, Elías; Cachafeiro, Alicia; García-Amor, José M.; Marcellán, Francisco 3 2008 An interpolation problem on the circle between Lagrange and Hermite problems. Zbl 1357.41013 Berriochoa, E.; Cachafeiro, A.; Amor, J. M. García 3 2017 A new numerical quadrature formula on the unit circle. Zbl 1126.65023 Berriochoa, E.; Cachafeiro, A.; Marcellán, F. 3 2007 A system of biorthogonal trigonometric polynomials. Zbl 1214.42040 Berriochoa, Elías; Cachafeiro, Alicia; García-Amor, José 3 2007 Gibbs-Wilbraham oscillation related to an Hermite interpolation problem on the unit circle. Zbl 1460.41001 Berriochoa, E.; Cachafeiro, A.; García Amor, J. M. 2 2018 Continuous Sobolev inner products on the unit circle: Canonical models. Zbl 0947.42018 Berriochoa, E.; Cachafeiro, A. 2 1999 Polynomials with minimal norm and new results in Szegö’s theory. Zbl 1021.33009 Berriochoa, E.; Cachafeiro, A. 2 2000 Asymptotic properties of Chebyshev-Sobolev orthogonal polynomials. Zbl 1060.42016 Berriochoa, E.; Cachafeiro, A.; Garcia-Amor, J. M. 2 2005 About measures and nodal systems for which the Hermite interpolants uniformly converge to continuous functions on the circle and interval. Zbl 1248.41002 Berriochoa, E.; Cachafeiro, A.; Martínez, E. 2 2012 Characterizing curves satisfying the Gauss-Christoffel theorem. Zbl 1180.33012 Berriochoa, E.; Cachafeiro, A. 2 2009 Gibbs-Wilbraham phenomenon on Lagrange interpolation based on analytic weights on the unit circle. Zbl 1428.41002 Berriochoa, E.; Cachafeiro, A.; García Amor, J. M. 2 2020 Characterizing the measures on the unit circle with exact quadrature formulas in the space of polynomials. Zbl 1189.33011 Berriochoa, E.; Cachafeiro, A.; García Amor, J. 2 2009 Nodal systems with maximal domain of exactness for Gaussian quadrature formulas. Zbl 1135.33006 Berriochoa, E.; Cachafeiro, A. 2 2008 Algorithms, convergence and rate of convergence for an interpolation model between Lagrange and Hermite. Zbl 1390.41002 Berriochoa, Elías; Cachafeiro, Alicia; García-Amor, José M. 1 2018 On the asymptotic constant for the rate of Hermite-Fejér convergence on Chebyshev nodes. Zbl 1363.41001 Berriochoa, E.; Cachafeiro, A. 1 2015 A study of the generalized Christoffel functions with applications. Zbl 0965.42015 Berriochoa, E.; Cachafeiro, A.; Marcellán, F. 1 1999 Bernstein-Szegö-Lebesgue-Sobolev orthogonal polynomials on the unit circle. Zbl 0966.42015 Berriochoa, E.; Cachafeiro, A. 1 2000 Szegő transformation and zeros of analytic perturbations of Chebyshev weights. Zbl 1404.30005 Berriochoa, E.; Cachafeiro, A.; Marcellán, F. 1 2019 Hermite interpolation on the unit circle considering up to the second derivative. Zbl 1286.41001 Berriochoa, Elías; Cachafeiro, Alicia; Díaz, Jaime 1 2014 Explicit formulas for Hermite-type interpolation on the circle and applications. Zbl 1312.65012 Berriochoa, Elías; Cachafeiro, Alicia; Díaz, Jaime; Illán, Jesús 1 2015 Connections between interval and unit circle for Sobolev orthogonal polynomials. Strong asymptotics on the real line. Zbl 1076.42016 Berriochoa, E.; Cachafeiro, A.; García-Amor, J. 1 2005 Extension inside the disk of asymptotics for Sobolev orthogonal polynomials. Zbl 1044.42023 Berriochoa, E.; Cachafeiro, A. 1 2003 About a system of anti-periodic trigonometric functions. Zbl 1155.42300 Berriochoa, E.; Cachafeiro, A.; García-Amor, J. 1 2008 A necessary condition for the extension of Szegö’s asymptotics inside the disk in the Sobolev case. Zbl 1014.42018 Berriochoa, E.; Cachafeiro, A. 1 2003 Gibbs-Wilbraham phenomenon on Lagrange interpolation based on analytic weights on the unit circle. Zbl 1428.41002 Berriochoa, E.; Cachafeiro, A.; García Amor, J. M. 2 2020 Szegő transformation and zeros of analytic perturbations of Chebyshev weights. Zbl 1404.30005 Berriochoa, E.; Cachafeiro, A.; Marcellán, F. 1 2019 Gibbs-Wilbraham oscillation related to an Hermite interpolation problem on the unit circle. Zbl 1460.41001 Berriochoa, E.; Cachafeiro, A.; García Amor, J. M. 2 2018 Algorithms, convergence and rate of convergence for an interpolation model between Lagrange and Hermite. Zbl 1390.41002 Berriochoa, Elías; Cachafeiro, Alicia; García-Amor, José M. 1 2018 An interpolation problem on the circle between Lagrange and Hermite problems. Zbl 1357.41013 Berriochoa, E.; Cachafeiro, A.; Amor, J. M. García 3 2017 Gibbs phenomenon in the Hermite interpolation on the circle. Zbl 1338.41002 Berriochoa, E.; Cachafeiro, A.; Díaz, J. 5 2015 Convergence of Hermite interpolants on the circle using two derivatives. Zbl 1312.41004 Berriochoa, E.; Cachafeiro, A.; Díaz, J. 4 2015 On the asymptotic constant for the rate of Hermite-Fejér convergence on Chebyshev nodes. Zbl 1363.41001 Berriochoa, E.; Cachafeiro, A. 1 2015 Explicit formulas for Hermite-type interpolation on the circle and applications. Zbl 1312.65012 Berriochoa, Elías; Cachafeiro, Alicia; Díaz, Jaime; Illán, Jesús 1 2015 Algorithms and convergence for Hermite interpolation based on extended Chebyshev nodal systems. Zbl 1303.65004 Berriochoa, E.; Cachafeiro, A.; Díaz, J.; Illán, J. 5 2014 Hermite interpolation on the unit circle considering up to the second derivative. Zbl 1286.41001 Berriochoa, Elías; Cachafeiro, Alicia; Díaz, Jaime 1 2014 Rate of convergence of Hermite-Fejér interpolation on the unit circle. Zbl 1266.41002 Berriochoa, E.; Cachafeiro, A.; Díaz, J.; Martínez-Brey, E. 5 2013 An extension of Fejér’s condition for Hermite interpolation. Zbl 1276.42006 Berriochoa, Elías; Cachafeiro, Alicia; García-Amor, José M. 4 2012 About measures and nodal systems for which the Hermite interpolants uniformly converge to continuous functions on the circle and interval. Zbl 1248.41002 Berriochoa, E.; Cachafeiro, A.; Martínez, E. 2 2012 Some improvements to the Hermite-Fejér interpolation on the circle and bounded interval. Zbl 1217.65028 Berriochoa, E.; Cachafeiro, A.; Brey, E. Martínez 8 2011 Algorithms for solving Hermite interpolation problems using the fast Fourier transform. Zbl 1215.33009 Berriochoa, Elías; Cachafeiro, Alicia 6 2010 Characterizing curves satisfying the Gauss-Christoffel theorem. Zbl 1180.33012 Berriochoa, E.; Cachafeiro, A. 2 2009 Characterizing the measures on the unit circle with exact quadrature formulas in the space of polynomials. Zbl 1189.33011 Berriochoa, E.; Cachafeiro, A.; García Amor, J. 2 2009 New quadrature rules for Bernstein measures on the interval \([-1,1]\). Zbl 1176.33016 Berriochoa, Elías; Cachafeiro, Alicia; García-Amor, José M.; Marcellán, Francisco 3 2008 Nodal systems with maximal domain of exactness for Gaussian quadrature formulas. Zbl 1135.33006 Berriochoa, E.; Cachafeiro, A. 2 2008 About a system of anti-periodic trigonometric functions. Zbl 1155.42300 Berriochoa, E.; Cachafeiro, A.; García-Amor, J. 1 2008 A new numerical quadrature formula on the unit circle. Zbl 1126.65023 Berriochoa, E.; Cachafeiro, A.; Marcellán, F. 3 2007 A system of biorthogonal trigonometric polynomials. Zbl 1214.42040 Berriochoa, Elías; Cachafeiro, Alicia; García-Amor, José 3 2007 Connection between orthogonal polynomials on the unit circle and bounded interval. Zbl 1066.33009 Berriochoa, E.; Cachafeiro, A.; García-Amor, J. 10 2005 A characterization of the four Chebyshev orthogonal families. Zbl 1082.42014 Berriochoa, E.; Cachafeiro, A.; Garcia-Amor, J. M. 5 2005 Asymptotic properties of Chebyshev-Sobolev orthogonal polynomials. Zbl 1060.42016 Berriochoa, E.; Cachafeiro, A.; Garcia-Amor, J. M. 2 2005 Connections between interval and unit circle for Sobolev orthogonal polynomials. Strong asymptotics on the real line. Zbl 1076.42016 Berriochoa, E.; Cachafeiro, A.; García-Amor, J. 1 2005 On the strong asymptotics for Sobolev orthogonal polynomials on the circle. Zbl 1015.42017 Berriochoa, E.; Cachafeiro, A. 4 2003 Extension inside the disk of asymptotics for Sobolev orthogonal polynomials. Zbl 1044.42023 Berriochoa, E.; Cachafeiro, A. 1 2003 A necessary condition for the extension of Szegö’s asymptotics inside the disk in the Sobolev case. Zbl 1014.42018 Berriochoa, E.; Cachafeiro, A. 1 2003 Strong asymptotics inside the unit disk for Sobolev orthogonal polynomials. Zbl 1229.33021 Berriochoa, E.; Cachafeiro, A. 4 2002 Asymptotic behavior inside the disk for Lebesgue Sobolev orthogonal polynomials. Zbl 1007.42017 Berriochoa, E.; Cachafeiro, A. 3 2002 Polynomials with minimal norm and new results in Szegö’s theory. Zbl 1021.33009 Berriochoa, E.; Cachafeiro, A. 2 2000 Bernstein-Szegö-Lebesgue-Sobolev orthogonal polynomials on the unit circle. Zbl 0966.42015 Berriochoa, E.; Cachafeiro, A. 1 2000 Strong asymptotics for the continuous Sobolev orthogonal polynomials on the unit circle. Zbl 0934.42017 Aptekarev, A.; Berriochoa, E.; Cachafeiro, A. 8 1999 A family of Sobolev orthogonal polynomials on the unit circle. Zbl 0952.42013 Berriochoa, E.; Cachafeiro, A. 7 1999 Continuous Sobolev inner products on the unit circle: Canonical models. Zbl 0947.42018 Berriochoa, E.; Cachafeiro, A. 2 1999 A study of the generalized Christoffel functions with applications. Zbl 0965.42015 Berriochoa, E.; Cachafeiro, A.; Marcellán, F. 1 1999 Lebesgue Sobolev orthogonality on the unit circle. Zbl 0933.42011 Berriochoa, E.; Cachafeiro, A. 8 1998 all cited Publications top 5 cited Publications all top 5 Cited by 49 Authors 38 Cachafeiro, Alicia 37 Berriochoa, Elías 11 García-Amor, José M. 6 Díaz, Jaime 5 Marcellán Español, Francisco 4 Sri Ranga, Alagacone 3 Mañas, Manuel 3 Martínez-Brey, E. 2 Amor, J. M. García 2 Ariznabarreta, Gerardo 2 Bahadur, Swarnima 2 Illán González, Jesús 2 Varun, V. L. 1 Alfaro García, Manuel 1 Álvarez-Fernández, Carlos 1 Aptekarev, Alexander Ivanovich 1 Berriochoa Esnaola, Elías 1 Borzov, Vadim V. 1 Botta, Vanessa Avansini 1 Bracciali, Cleonice Fátima 1 Butcher, John C. 1 Chen, Yunfei 1 Corless, Robert Malcolm 1 Cvetković, Aleksandar S. 1 da Silva, Jéssica V. 1 Emsiz, Erdal 1 Fan, Xintao 1 Fuentes, Edinson 1 García Rábade, H. 1 Garza, Lino G. 1 Garza, Luis E. 1 Gonzalez-Vega, Laureano 1 Harris, Lawrence A. 1 Ismail, Mourad El-Houssieny 1 Krasny, Robert 1 Liu, Yang 1 Martínez-Finkelshtein, Andrei 1 Milovanović, Gradimir V. 1 Peña, Ana 1 Rezola, María Luisa 1 Rovenska, Ol’ga Gennadievna 1 Ryckman, Eric 1 Shakoori, Azar 1 Stanić, Marija P. 1 Suni, Mijael Hancco 1 van Diejen, Jan Felipe 1 Viswanathan, Puthan Veedu 1 Wang, Lei 1 Wang, Xiangsheng all top 5 Cited in 29 Serials 14 Journal of Computational and Applied Mathematics 7 Computers & Mathematics with Applications 4 Applied Mathematics and Computation 4 Journal of Approximation Theory 3 Integral Transforms and Special Functions 2 Journal of Mathematical Analysis and Applications 2 Advances in Mathematics 2 Results in Mathematics 2 Acta Mathematica Hungarica 2 Journal of Applied Mathematics 1 Communications in Mathematical Physics 1 Theoretical and Mathematical Physics 1 Mathematics of Computation 1 Archiv der Mathematik 1 Proceedings of the American Mathematical Society 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Acta Applicandae Mathematicae 1 Numerical Algorithms 1 Linear Algebra and its Applications 1 Journal of Difference Equations and Applications 1 South East Asian Journal of Mathematics and Mathematical Sciences 1 Mediterranean Journal of Mathematics 1 Complex Analysis and Operator Theory 1 Advances in Mathematical Physics 1 ISRN Mathematical Analysis 1 Journal of Classical Analysis 1 Open Mathematics 1 Computational and Mathematical Biophysics 1 Advanced Studies: Euro-Tbilisi Mathematical Journal all top 5 Cited in 18 Fields 37 Harmonic analysis on Euclidean spaces (42-XX) 31 Special functions (33-XX) 23 Approximations and expansions (41-XX) 20 Numerical analysis (65-XX) 7 Functions of a complex variable (30-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Real functions (26-XX) 1 Combinatorics (05-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year