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1

An Extension of Fejér’s Condition for Hermite Interpolation

Elías Berriochoa, Alicia Cachafeiro, José M. García-Amor

Journal:

Complex Analysis and Operator Theory

Year:

2012

Language:

english

File:

PDF, 241 KB

english, 2012

2

Algorithms for solving Hermite interpolation problems using the Fast Fourier Transform

Elías Berriochoa, Alicia Cachafeiro

Journal:

Journal of Computational and Applied Mathematics

Year:

2010

Language:

english

File:

PDF, 297 KB

english, 2010

3

Shooting out the slate: working with flaked arrowheads made on thin-layered rocks

Carlos Rodríguez-Rellán, Ramón Fábregas Valcarce, Elías Berriochoa Esnaola

Journal:

Journal of Archaeological Science

Year:

2011

Language:

english

File:

PDF, 1.17 MB

english, 2011

4

On the asymptotic constant for the rate of Hermite–Fejér convergence on Chebyshev nodes

Berriochoa, E., Cachafeiro, A.

Journal:

Acta Mathematica Hungarica

Year:

2015

Language:

english

File:

PDF, 692 KB

english, 2015

5

Gibbs–Wilbraham phenomenon on Lagrange interpolation based on analytic weights on the unit circle

Berriochoa, E., Cachafeiro, A., García Amor, J.M.

Journal:

Journal of Computational and Applied Mathematics

Year:

2020

Language:

english

File:

PDF, 824 KB

english, 2020

6

Connection between orthogonal polynomials on the unit circle and bounded interval

E. Berriochoa, A. Cachafeiro, J. García-Amor

Journal:

Journal of Computational and Applied Mathematics

Year:

2005

Language:

english

File:

PDF, 268 KB

english, 2005

7

Connections between Interval and Unit Circle for Sobolev Orthogonal Polynomials. Strong Asymptotics on the Real Line

E. Berriochoa, A. Cachafeiro, J. GarcÍa-Amor

Journal:

Acta Applicandae Mathematicae

Year:

2005

Language:

english

File:

PDF, 270 KB

english, 2005

8

A new numerical quadrature formula on the unit circle

E. Berriochoa, A. Cachafeiro, F. Marcellán

Journal:

Numerical Algorithms

Year:

2007

Language:

english

File:

PDF, 301 KB

english, 2007

9

Some improvements to the Hermite–Fejér interpolation on the circle and bounded interval

E. Berriochoa, A. Cachafeiro, E. Martínez Brey

Journal:

Computers & Mathematics with Applications

Year:

2011

Language:

english

File:

PDF, 298 KB

english, 2011

10

Asymptotic constants for the error of Hermite-Fejér interpolation on the unit circle

Cachafeiro, A., Berriochoa, E., Díaz, J., Martínez, E.

Journal:

Electronic Notes in Discrete Mathematics

Year:

2013

Language:

english

File:

PDF, 170 KB

english, 2013

11

Algorithms and convergence for Hermite interpolation based on extended Chebyshev nodal systems

Berriochoa, E., Cachafeiro, A., Díaz, J., Illán, J.

Journal:

Applied Mathematics and Computation

Year:

2014

Language:

english

File:

PDF, 459 KB

english, 2014

12

Bernstein-szegö-lebesgue sobolev orthogonal polynomials on the unit circle

Berriochoa, E., Cachafeiro, A.

Journal:

Journal of Difference Equations and Applications

Year:

2000

Language:

english

File:

PDF, 491 KB

english, 2000

13

Rate of Convergence of Hermite-Fejér Interpolation on the Unit Circle

Berriochoa, E., Cachafeiro, A., Díaz, J., Martínez-Brey, E.

Journal:

Journal of Applied Mathematics

Year:

2013

Language:

english

File:

PDF, 172 KB

english, 2013

14

A note on the rate of convergence for Chebyshev-Lobatto and Radau systems

Berriochoa, Elías, Cachafeiro, Alicia, Díaz, Jaime, Martínez, Eduardo

Journal:

Open Mathematics

Year:

2016

Language:

english

File:

PDF, 229 KB

english, 2016

15

An interpolation problem on the circle between Lagrange and Hermite problems

Berriochoa, E., Cachafeiro, A., García Amor, J.M.

Journal:

Journal of Approximation Theory

Year:

2017

Language:

english

File:

PDF, 555 KB

english, 2017

16

Algorithms, Convergence and Rate of Convergence for an Interpolation Model Between Lagrange and Hermite

Berriochoa, Elías, Cachafeiro, Alicia, García-Amor, José M.

Journal:

Results in Mathematics

Year:

2018

Language:

english

File:

PDF, 825 KB

english, 2018

17

Gibbs–Wilbraham oscillation related to an Hermite interpolation problem on the unit circle

Berriochoa, E., Cachafeiro, A., García Amor, J.M.

Journal:

Journal of Computational and Applied Mathematics

Year:

2018

Language:

english

File:

PDF, 712 KB

english, 2018

18

Classical Lagrange Interpolation Based on General Nodal Systems at Perturbed Roots of Unity

Berriochoa, ElÃas, Cachafeiro, Alicia, CastejÃ³n, Alberto, GarcÃa-Amor, JosÃ© Manuel

Journal:

Year:

2020

File:

PDF, 798 KB

2020

19

Strong Asymptotics for the Continuous Sobolev Orthogonal Polynomials on the Unit Circle

A. Aptekarev, E. Berriochoa, A. Cachafeiro

Journal:

Journal of Approximation Theory

Year:

1999

Language:

english

File:

PDF, 110 KB

english, 1999

20

Asymptotic properties of Chebyshev–Sobolev orthogonal polynomials

E. Berriochoa, A. Cachafeiro, J.M. Garcia-Amor

Journal:

Journal of Computational and Applied Mathematics

Year:

2005

Language:

english

File:

PDF, 215 KB

english, 2005

21

Nodal systems with maximal domain of exactness for Gaussian quadrature formulas

E. Berriochoa, A. Cachafeiro

Journal:

Journal of Computational and Applied Mathematics

Year:

2008

Language:

english

File:

PDF, 179 KB

english, 2008

22

Characterizing curves satisfying the Gauss–Christoffel theorem

E. Berriochoa, A. Cachafeiro

Journal:

Journal of Computational and Applied Mathematics

Year:

2009

Language:

english

File:

PDF, 369 KB

english, 2009

23

Asymptotics on the support for sobolev orthogonal polynomials on a bounded interval

E. Berriochoa, A. Cachafeiro, J. Garcia-Amor

Journal:

Computers & Mathematics with Applications

Year:

2005

Language:

english

File:

PDF, 570 KB

english, 2005

24

About a system of anti-periodic trigonometric functions

E. Berriochoa, A. Cachafeiro, J. García-Amor

Journal:

Computers & Mathematics with Applications

Year:

2008

Language:

english

File:

PDF, 391 KB

english, 2008

25

Differential properties for Sobolev orthogonality on the unit circle

E. Berriochoa, A. Cachafeiro, F. Marcellán

Journal:

Journal of Computational and Applied Mathematics

Year:

2001

Language:

english

File:

PDF, 106 KB

english, 2001

26

Differential properties for a class of Sobolev orthogonal polynomials

E. Berriochoa, A. Cachafeiro

Journal:

Journal of Computational and Applied Mathematics

Year:

2002

Language:

english

File:

PDF, 137 KB

english, 2002

27

A necessary condition for the extension of Szegő's asymptotics inside the disk in the Sobolev case

E. Berriochoa, A. Cachafeiro

Journal:

Journal of Computational and Applied Mathematics

Year:

2003

Language:

english

File:

PDF, 110 KB

english, 2003

28

Lebesgue Sobolev orthogonality on the unit circle

E. Berriochoa, A. Cachafeiro

Journal:

Journal of Computational and Applied Mathematics

Year:

1998

Language:

english

File:

PDF, 294 KB

english, 1998

29

A family of Sobolev orthogonal polynomials on the unit circle

E. Berriochoa, A. Cachafeiro

Journal:

Journal of Computational and Applied Mathematics

Year:

1999

Language:

english

File:

PDF, 108 KB

english, 1999

30

Strong asymptotics inside the unit disk for Sobolev orthogonal polynomials

E. Berriochoa, A. Cachafeiro

Journal:

Computers & Mathematics with Applications

Year:

2002

Language:

english

File:

PDF, 412 KB

english, 2002

31

Extension inside the disk of asymptotics for Sobolev orthogonal polynomials

E. Berriochoa, A. Cachafeiro

Journal:

Computers & Mathematics with Applications

Year:

2003

Language:

english

File:

PDF, 513 KB

english, 2003

32

On the Strong Asymptotics for Sobolev Orthogonal Polynomials on the Circle

Berriochoa, Cachafeiro

Journal:

Constructive Approximation

Year:

2003

Language:

english

File:

PDF, 86 KB

english, 2003

33

Complex measures having quadrature formulae with optimal exactness

E. Berriochoa, A. Cachafeiro, J. García-Amor

Journal:

Acta Mathematica Hungarica

Year:

2010

Language:

english

File:

PDF, 355 KB

english, 2010

34

Characterizing the measures on the unit circle with exact quadrature formulas in the space of polynomials

E. Berriochoa, A. Cachafeiro, J. García Amor

Journal:

Computers & Mathematics with Applications

Year:

2009

Language:

english

File:

PDF, 831 KB

english, 2009

35

On a Characterization of Integrability for the Reciprocal Weight of Orthogonal Polynomials on the Circle

A. Aptekarev, E. Berriochoa, A. Cachafeiro

Journal:

Acta Applicandae Mathematicae

Year:

2000

Language:

english

File:

PDF, 46 KB

english, 2000

36

Chebyshev series method for computing weighted quadrature formulas

E. Berriochoa Esnaola, A. Cachafeiro López, J.R. Illán-González, E. Martínez-Brey

Journal:

Applied Mathematics and Computation

Year:

2011

Language:

english

File:

PDF, 251 KB

english, 2011

37

About measures and nodal systems for which the Hermite interpolants uniformly converge to continuous functions on the circle and interval

E. Berriochoa, A. Cachafeiro, E. Martínez

Journal:

Applied Mathematics and Computation

Year:

2012

Language:

english

File:

PDF, 275 KB

english, 2012

38

Quadrature rules for polynomial modifications of Bernstein measures exact for analytic functions

Berriochoa, E., Cachafeiro, A., García-Amor, J.

Journal:

Integral Transforms and Special Functions

Year:

2010

Language:

english

File:

PDF, 148 KB

english, 2010

39

Metal-free oxidation of aromatic carbon–hydrogen bonds through a reverse-rebound mechanism

Yuan, Changxia, Liang, Yong, Hernandez, Taylor, Berriochoa, Adrian, Houk, Kendall N., Siegel, Dionicio

Journal:

Year:

2013

Language:

english

File:

PDF, 541 KB

english, 2013

40

Modified Gauss rules for approximate calculation of some strongly singular integrals

Berriochoa, E., Cachafeiro, A., Illán, J., Rebollido, J.M.

Journal:

Electronic Notes in Discrete Mathematics

Year:

2013

Language:

english

File:

PDF, 179 KB

english, 2013

41

Evaluation of the effectiveness of a training programme CPR

Ruiz, Luis Mariano Sandonís, Zapata, Rosa María Blanco, Medel, Gonzalo Tamayo, Berriochoa, Agustín Martínez, Carames, Fernando Corral, Varela, Maria Victoria Boado, Herrera, Maria Cruz López, Bayón, J

Journal:

Year:

2014

Language:

english

File:

PDF, 60 KB

english, 2014

42

Analysis of the sudden cardiac arrest (SCA) management in a tertiary hospital (H. Universitario de Cruces, Barakaldo, Spain) after the implementation of a global plan for training and intra-hospital SCA management

Varela, M. Victoria Boado, le Gall, Amelie, Herrera, Inmaculada Lopez, Carames, Fernando Corral, Bayon, Julio Lopez, Berriochoa, Agustin, Zapata, Rosa Blanco, Medel, Gontzal Tamayo, Ruiz, Luis Sandoni

Journal:

Year:

2014

Language:

english

File:

PDF, 61 KB

english, 2014

43

Treatment of Resectable Intrathoracic Sarcomas: A Single Institution Experience Over 20 Years

Rainey, D., Berriochoa, J., Korpak, A., Zeng, J., Jones, R.L., Patel, S.

Journal:

International Journal of Radiation Oncology*Biology*Physics

Year:

2013

Language:

english

File:

PDF, 45 KB

english, 2013

44

Tumoración torácica anterior en una mujer joven

Sierra Santos, Lucía, Berriochoa Martínez de Pisón, Cristina, Ortega García, Almudena, Alba Martín, David

Journal:

SEMERGEN - Medicina de Familia

Year:

2000

File:

PDF, 118 KB

2000

45

Karim Valji, MD New Editor, JVIR

Sierra Santos, Lucía, Berriochoa Martínez de Pisón, Cristina, Ortega García, Almudena, Alba Martín, David

Journal:

Journal of Vascular and Interventional Radiology

Year:

2000

Language:

english

File:

PDF, 251 KB

english, 2000

46

Treatment of Chest Wall Sarcomas: A Single Institution Experience Over 20 Years

Burt, A., Berriochoa, J., Rodler, E., Jones, R.L., Loggers, E., Korpak, A., Patel, S.

Journal:

International Journal of Radiation Oncology*Biology*Physics

Year:

2012

Language:

english

File:

PDF, 53 KB

english, 2012

47

Convergence of Hermite interpolants on the circle using two derivatives

Berriochoa, E., Cachafeiro, A., Díaz, J.

Journal:

Journal of Computational and Applied Mathematics

Year:

2015

Language:

english

File:

PDF, 317 KB

english, 2015

48

Lung SBRT for Tumors With Chest Wall Involvement: Safe and Effective

Berriochoa, C.A., Videtic, G.M., Djemil, T., Woody, N.M., Stephans, K.

Journal:

International Journal of Radiation Oncology*Biology*Physics

Year:

2014

Language:

english

File:

PDF, 49 KB

english, 2014

49

Preoperative Chemoradiation for Locally Advanced Pancreatic Cancer Improves Margin Negativity and Nodal Involvement at Resection

Berriochoa, C.A., Kumar, A., Khorana, A.A., Walsh, R.M., Abdel-Wahab, M.

Journal:

International Journal of Radiation Oncology*Biology*Physics

Year:

2014

Language:

english

File:

PDF, 50 KB

english, 2014

50

Polynomials with minimal norm and new results in Szegő's theory

Berriochoa, E., Cachafeiro, A.

Journal:

Complex Variables and Elliptic Equations

Year:

2000

Language:

english

File:

PDF, 402 KB

english, 2000

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