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Author ID: berriochoa.elias Recent zbMATH articles by "Berriochoa, Elías"
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

Publications by Year

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

Citations by Year