Constructive methods of approximation by ridge functions and radial functions. - Yuan Xu 005; William A. Light; Elliot Ward Cheney (Numer. Algorithms, 1993)

Regular points for Lagrange interpolation on the unit disk. - Thomas Sauer; Yuan Xu 005 (Numer. Algorithms, 1996)

Minimal cubature formulae for a family of radial weight functions. - Yuan Xu 005 (Adv. Comput. Math., 1998)

Polynomial interpolation in several variables, cubature formulae, and ideals[*]Supported by the National Science Foundation under Grant DMS-9802265. - Yuan Xu 005 (Adv. Comput. Math., 2000)

Constructing cubature formulae by the method of reproducing kernel. - Yuan Xu 005 (Numerische Mathematik, 2000)

Representation of Reproducing Kernels and the Lebesgue Constants on the Ball. - Yuan Xu 005 (J. Approx. Theory, 2001)

An integral formula for generalized Gegenbauer polynomials and Jacobi polynomials. - Yuan Xu 005 (Adv. Appl. Math., 2002)

On polynomial interpolation of two variables. - Borislav Bojanov; Yuan Xu 005 (J. Approx. Theory, 2003)

Summability of orthogonal expansions of several variables. - Zhongkai Li; Yuan Xu 005 (J. Approx. Theory, 2003)

Lower bound for the number of nodes of cubature formulae on the unit ball. - Yuan Xu 005 (J. Complex., 2003)

Polynomial Interpolation on the Unit Sphere. - Yuan Xu 005 (SIAM J. Numer. Anal., 2003)

On discrete orthogonal polynomials of several variables. - Yuan Xu 005 (Adv. Appl. Math., 2004)

On Polynomials of Least Deviation from Zero in Several Variables. - Yuan Xu 005 (Exp. Math., 2004)

Monomial orthogonal polynomials of several variables. - Yuan Xu 005 (J. Approx. Theory, 2005)

A new approach to the reconstruction of images from Radon projections. - Yuan Xu 005 (Adv. Appl. Math., 2006)

Bivariate Lagrange interpolation at the Padua points: The generating curve approach. - Len Bos; Marco Caliari; Stefano De Marchi; Marco Vianello; Yuan Xu 005 (J. Approx. Theory, 2006)

A family of Sobolev orthogonal polynomials on the unit ball. - Yuan Xu 005 (J. Approx. Theory, 2006)

Image reconstruction by OPED algorithm with averaging. - Yuan Xu 005; Oleg Tischenko; Christoph Hoeschen (Numer. Algorithms, 2007)

Bivariate Lagrange interpolation at the Padua points: the ideal theory approach. - Len Bos; Stefano De Marchi; Marco Vianello; Yuan Xu 005 (Numerische Mathematik, 2007)

Approximation and Reconstruction from Attenuated Radon Projections. - Yuan Xu 005; Oleg Tischenko; Christoph Hoeschen (SIAM J. Numer. Anal., 2007)

Sobolev orthogonal polynomials defined via gradient on the unit ball. - Yuan Xu 005 (J. Approx. Theory, 2008)

Krall-type orthogonal polynomials in several variables. - Lidia Fernández; Teresa E. Pérez; Miguel A. Piñar; Yuan Xu 005 (J. Comput. Appl. Math., 2010)

Orthogonal polynomials in several variables for measures with mass points. - Antonia M. Delgado; Lidia Fernández; Teresa E. Pérez; Miguel A. Piñar; Yuan Xu 005 (Numer. Algorithms, 2010)

Discrete Fourier analysis with lattices on planar domains. - Huiyuan Li; Jiachang Sun; Yuan Xu 005 (Numer. Algorithms, 2010)

Polynomial approximation in Sobolev spaces on the unit sphere and the unit ball. - Feng Dai; Yuan Xu 005 (J. Approx. Theory, 2011)

Weighted Sobolev orthogonal polynomials on the unit ball. - Teresa E. Pérez; Miguel A. Piñar; Yuan Xu 005 (J. Approx. Theory, 2013)

On positive cubature rules on the simplex and isometric embeddings. - Masanori Sawa; Yuan Xu 005 (Math. Comput., 2014)

Uncertainty principle on weighted spheres, balls and simplexes. - Yuan Xu 005 (J. Approx. Theory, 2015)

Hahn, Jacobi, and Krawtchouk polynomials of several variables. - Yuan Xu 005 (J. Approx. Theory, 2015)

Sobolev orthogonal polynomials on product domains. - Lidia Fernández; Francisco Marcellán; Teresa E. Pérez; Miguel A. Piñar; Yuan Xu 005 (J. Comput. Appl. Math., 2015)

Positivity and Fourier integrals over regular hexagon. - Yuan Xu 005 (J. Approx. Theory, 2016)

Minimal cubature rules and polynomial interpolation in two variables II. - Yuan Xu 005 (J. Approx. Theory, 2017)

Orthogonal Structure on a Wedge and on the Boundary of a Square. - Sheehan Olver; Yuan Xu 005 (Found. Comput. Math., 2019)

Best polynomial approximation on the triangle. - Han Feng; Christian Krattenthaler; Yuan Xu 005 (J. Approx. Theory, 2019)

Intertwining operator associated to symmetric groups and summability on the unit sphere. - Yuan Xu 005 (J. Approx. Theory, 2021)

Bernstein inequality on conic domains and triangles. - Yuan Xu 005 (J. Approx. Theory, 2023)