Yuan Xu

Orcid: 0000-0001-9228-3818

Affiliations:
  • University of Oregon, Department of Mathematics, Eugene, USA


According to our database1, Yuan Xu authored at least 36 papers between 1993 and 2023.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2023
Bernstein inequality on conic domains and triangles.
J. Approx. Theory, June, 2023

2021
Intertwining operator associated to symmetric groups and summability on the unit sphere.
J. Approx. Theory, 2021

2019
Best polynomial approximation on the triangle.
J. Approx. Theory, 2019

Orthogonal Structure on a Wedge and on the Boundary of a Square.
Found. Comput. Math., 2019

2017
Minimal cubature rules and polynomial interpolation in two variables II.
J. Approx. Theory, 2017

2016
Positivity and Fourier integrals over regular hexagon.
J. Approx. Theory, 2016

2015
Sobolev orthogonal polynomials on product domains.
J. Comput. Appl. Math., 2015

Hahn, Jacobi, and Krawtchouk polynomials of several variables.
J. Approx. Theory, 2015

Uncertainty principle on weighted spheres, balls and simplexes.
J. Approx. Theory, 2015

2014
On positive cubature rules on the simplex and isometric embeddings.
Math. Comput., 2014

2013
Weighted Sobolev orthogonal polynomials on the unit ball.
J. Approx. Theory, 2013

2011
Polynomial approximation in Sobolev spaces on the unit sphere and the unit ball.
J. Approx. Theory, 2011

2010
Discrete Fourier analysis with lattices on planar domains.
Numer. Algorithms, 2010

Orthogonal polynomials in several variables for measures with mass points.
Numer. Algorithms, 2010

Krall-type orthogonal polynomials in several variables.
J. Comput. Appl. Math., 2010

2008
Sobolev orthogonal polynomials defined via gradient on the unit ball.
J. Approx. Theory, 2008

2007
Approximation and Reconstruction from Attenuated Radon Projections.
SIAM J. Numer. Anal., 2007

Bivariate Lagrange interpolation at the Padua points: the ideal theory approach.
Numerische Mathematik, 2007

Image reconstruction by OPED algorithm with averaging.
Numer. Algorithms, 2007

2006
A family of Sobolev orthogonal polynomials on the unit ball.
J. Approx. Theory, 2006

Bivariate Lagrange interpolation at the Padua points: The generating curve approach.
J. Approx. Theory, 2006

A new approach to the reconstruction of images from Radon projections.
Adv. Appl. Math., 2006

2005
Monomial orthogonal polynomials of several variables.
J. Approx. Theory, 2005

2004
On Polynomials of Least Deviation from Zero in Several Variables.
Exp. Math., 2004

On discrete orthogonal polynomials of several variables.
Adv. Appl. Math., 2004

2003
Polynomial Interpolation on the Unit Sphere.
SIAM J. Numer. Anal., 2003

Lower bound for the number of nodes of cubature formulae on the unit ball.
J. Complex., 2003

Summability of orthogonal expansions of several variables.
J. Approx. Theory, 2003

On polynomial interpolation of two variables.
J. Approx. Theory, 2003

2002
An integral formula for generalized Gegenbauer polynomials and Jacobi polynomials.
Adv. Appl. Math., 2002

2001
Representation of Reproducing Kernels and the Lebesgue Constants on the Ball.
J. Approx. Theory, 2001

2000
Constructing cubature formulae by the method of reproducing kernel.
Numerische Mathematik, 2000

Polynomial interpolation in several variables, cubature formulae, and ideals[*]Supported by the National Science Foundation under Grant DMS-9802265.
Adv. Comput. Math., 2000

1998
Minimal cubature formulae for a family of radial weight functions.
Adv. Comput. Math., 1998

1996
Regular points for Lagrange interpolation on the unit disk.
Numer. Algorithms, 1996

1993
Constructive methods of approximation by ridge functions and radial functions.
Numer. Algorithms, 1993


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