Yuan Xu

Publication Activity (10 Years)

Years Active: 1993-2023
Publications (10 Years): 6

Top Topics

Production Rules

Polynomial Approximation

Orthogonal Polynomials

Fourier Descriptors

Top Venues

J. Approx. Theory

J. Comput. Appl. Math.

Found. Comput. Math.

Publications

Yuan Xu
Bernstein inequality on conic domains and triangles. J. Approx. Theory 290 (2023)
Yuan Xu
Intertwining operator associated to symmetric groups and summability on the unit sphere. J. Approx. Theory 272 (2021)
Han Feng, Christian Krattenthaler, Yuan Xu
Best polynomial approximation on the triangle. J. Approx. Theory 241 (2019)
Sheehan Olver, Yuan Xu
Orthogonal Structure on a Wedge and on the Boundary of a Square. Found. Comput. Math. 19 (3) (2019)
Yuan Xu
Minimal cubature rules and polynomial interpolation in two variables II. J. Approx. Theory 214 (2017)
Yuan Xu
Positivity and Fourier integrals over regular hexagon. J. Approx. Theory 207 (2016)
Yuan Xu
Hahn, Jacobi, and Krawtchouk polynomials of several variables. J. Approx. Theory 195 (2015)
Lidia Fernández, Francisco Marcellán, Teresa E. Pérez, Miguel A. Piñar, Yuan Xu
Sobolev orthogonal polynomials on product domains. J. Comput. Appl. Math. 284 (2015)
Yuan Xu
Uncertainty principle on weighted spheres, balls and simplexes. J. Approx. Theory 192 (2015)
Masanori Sawa, Yuan Xu
On positive cubature rules on the simplex and isometric embeddings. Math. Comput. 83 (287) (2014)
Teresa E. Pérez, Miguel A. Piñar, Yuan Xu
Weighted Sobolev orthogonal polynomials on the unit ball. J. Approx. Theory 171 (2013)
Feng Dai, Yuan Xu
Polynomial approximation in Sobolev spaces on the unit sphere and the unit ball. J. Approx. Theory 163 (10) (2011)
Lidia Fernández, Teresa E. Pérez, Miguel A. Piñar, Yuan Xu
Krall-type orthogonal polynomials in several variables. J. Comput. Appl. Math. 233 (6) (2010)
Antonia M. Delgado, Lidia Fernández, Teresa E. Pérez, Miguel A. Piñar, Yuan Xu
Orthogonal polynomials in several variables for measures with mass points. Numer. Algorithms 55 (2-3) (2010)
Huiyuan Li, Jiachang Sun, Yuan Xu
Discrete Fourier analysis with lattices on planar domains. Numer. Algorithms 55 (2-3) (2010)
Yuan Xu
Sobolev orthogonal polynomials defined via gradient on the unit ball. J. Approx. Theory 152 (1) (2008)
Len Bos, Stefano De Marchi, Marco Vianello, Yuan Xu
Bivariate Lagrange interpolation at the Padua points: the ideal theory approach. Numerische Mathematik 108 (1) (2007)
Yuan Xu, Oleg Tischenko, Christoph Hoeschen
Image reconstruction by OPED algorithm with averaging. Numer. Algorithms 45 (1-4) (2007)
Yuan Xu, Oleg Tischenko, Christoph Hoeschen
Approximation and Reconstruction from Attenuated Radon Projections. SIAM J. Numer. Anal. 45 (1) (2007)
Yuan Xu
A family of Sobolev orthogonal polynomials on the unit ball. J. Approx. Theory 138 (2) (2006)
Yuan Xu
A new approach to the reconstruction of images from Radon projections. Adv. Appl. Math. 36 (4) (2006)
Len Bos, Marco Caliari, Stefano De Marchi, Marco Vianello, Yuan Xu
Bivariate Lagrange interpolation at the Padua points: The generating curve approach. J. Approx. Theory 143 (1) (2006)
Yuan Xu
Monomial orthogonal polynomials of several variables. J. Approx. Theory 133 (1) (2005)
Yuan Xu
On discrete orthogonal polynomials of several variables. Adv. Appl. Math. 33 (3) (2004)
Yuan Xu
On Polynomials of Least Deviation from Zero in Several Variables. Exp. Math. 13 (1) (2004)
Yuan Xu
Polynomial Interpolation on the Unit Sphere. SIAM J. Numer. Anal. 41 (2) (2003)
Borislav Bojanov, Yuan Xu
On polynomial interpolation of two variables. J. Approx. Theory 120 (2) (2003)
Zhongkai Li, Yuan Xu
Summability of orthogonal expansions of several variables. J. Approx. Theory 122 (2) (2003)
Yuan Xu
Lower bound for the number of nodes of cubature formulae on the unit ball. J. Complex. 19 (3) (2003)
Yuan Xu
An integral formula for generalized Gegenbauer polynomials and Jacobi polynomials. Adv. Appl. Math. 29 (2) (2002)
Yuan Xu
Representation of Reproducing Kernels and the Lebesgue Constants on the Ball. J. Approx. Theory 112 (2) (2001)
Yuan Xu
Polynomial interpolation in several variables, cubature formulae, and ideals[*]Supported by the National Science Foundation under Grant DMS-9802265. Adv. Comput. Math. 12 (4) (2000)
Yuan Xu
Constructing cubature formulae by the method of reproducing kernel. Numerische Mathematik 85 (1) (2000)
Yuan Xu
Minimal cubature formulae for a family of radial weight functions. Adv. Comput. Math. 8 (4) (1998)
Thomas Sauer, Yuan Xu
Regular points for Lagrange interpolation on the unit disk. Numer. Algorithms 12 (2) (1996)
Yuan Xu, W. A. Light, Elliot Ward Cheney
Constructive methods of approximation by ridge functions and radial functions. Numer. Algorithms 4 (2) (1993)