Publications of Yuan Xu

Books

• (with Charles F. Dunkl) ``Orthogonal Polynomials of Several Variables'', Encyclopedia of Mathematics and its Applications, vol. 81, Cambridge Univ. Press, ISBN 0-521-80043-9, 2001.
• ``Common Zeros of Polynomials in Several Variables and Higher Dimensional Quadrature'', Pitman Research Notes in Mathematics Series, Longman, Essex, 1994.
• Translation from English to Chinese: ``Men of Mathematics'' by E.T. Bell, Shang Wu Pub. House, Beijing, 1991, 2nd printing, 1995. Reissued by Shanghai Scientific and Technological Education Pub. House, 2005.

Lecture notes

• Lecture notes on orthogonal polynomials of several variables, Summer School on Orthogonal Polynomials, Harmonic Analysis, Approximation and Applications, Inzell, Germany, Sept. 2001. In "Advances in the Theory of Special Functions and Orthogonal Polynomials," p. 141-196. W. zu Castell, F. Filbir, B. Forster (eds.), Nova Science Publishers, 2005. Inzell.pdf

Papers

Submitted

• (with K. Ivanov and P. Petrushev) Sub-exponentially localized kernels and frames induced by orthogonal expansions. sub-exp
• (with H. Li) Discrete Fourier analysis on fundamental domain of $A_d$ lattice and on simplex in $d$-variables. AdLattice
• (with H. Li and J. Sun) Cubature formula and interpolation on the cubic domain. cubic
• (with S. De Marchi and M. Vianello) New cubature formulae and hyperinterpolation in three variables. 3d-cubature
• (with F. Filbir and W. zu Castell) Cesaro means of Jacobi expansions on the parabolic biangle. biangle
• (with M. Pinar) Orthogonal polynomials and partial differential equations on the unit ball. Dec. 2007. OP-PDE

Accepted

• (with G. Kerkyacharian, P. Petrushev, and D. Picard) Decomposition of Triebel-Lizorkin and Besov spaces in the context of Laguerre expansions. J. Functional Anal. Lagurerre
• (with Feng Dai) Boundedness of projection operators and Cesaro means in weighted L^p space on the unit sphere, Trans. Amer. Math. Soc. DaiXu3
• Fourier series and approximation on hexagonal and triangular domains. Constructive Approx. AppHexagon
• (with L. Fernandez, T. Perez, M. Pinar) Krall--type orthogonal polynomials in several variables. J. Comp. Appl. Math. KrallType
• (with A. M. Delgado, J. S. Geronimo, P. Iliev) On a two variable class of Bernstein-Szego measures, Constructive Approx. Oct. 2007. B-S
• (with H. Li) Discrete Fourier Analysis on a dodecahedron and a tetrahedron, Math. Comp. April, 2007. LX
• (with Feng Dai) Cesaro means of orthogonal expansions in several variables, Constructive Approx. Feb. 2007. DaiXu2

2008

• (with G. Kyriazis and P. Petrushev) Decomposition of weighted Triebel-Lizorkin and Besov spaces on the ball, Proc. London Math. Soc. 97 (2008), 477-513. KPX2
• (with B. Kroetz and S. Thangavelu) Heat transform for nilmanifolds associated to the Heisenberg group, Revista Mat. Iberoamericana, 24 (2008) 243-266. KTX2
• Sobolev orthogonal polynomials defined via gradient on the unit ball, J. Approx. Theory. 152 (2008), 52-65. SobolevOP_II
• (with P. Petrushev) Decomposition of spaces of distributions induced by Hermite expansions, J. Fourier. Anal. Appl. 14 (2008), 372-414. Hermite
• (with H. Li and J. Sun) Discrete Fourier analysis, cubature and interpolation on a hexagon and a triangle, SIAM J. Numer. Anal. 46 (2008), 1653-1681. LSX
• (with G. Kyriazis and P. Petrushev) Jacobi decomposition of weighted Triebel-Lizorkin and Besov spaces, Studia Math. 186 (2008), 161-202. Jacobi_II
• (with H. de las Heras, O. Tischenko and C. Heoschen) Comparison of the interpolation functions to improve a rebinning-free CT-reconstruction algorithm, Z. Med. Physik 18 (2008), 7-16. Z-MP
• (with P. Petrushev) Localized polynomial kernels and frames on the ball, Constructive Approx. 27 (2008) 121-148. PX2

SPIE Proceedings

• (with H. de las Heras, O. Tischenko, B. Renger and C. Heoschen) Experimental proof of an idea for a CT-scanner with dose reduction potential, Proc. SPIE, Vol. 6913, Medical Imaging 2007: Physics of Medical Imaging, 691306.

2007

• (with F. Dai) Maximal function and multiplier theorem for weighted space on the unit sphere, J. Func. Analysis 249 (2007), 477--504. MaximalFunc
• (with L. Bos, S. De Marchi and M. Vianello) Bivariate Lagrange interpolation at Padua points: the ideal theory approach, Numer. Math., 108 (2007), 43-57. Paduva2
• (with O. Tischenko) Fast OPED algorithm for reconstruction of images from Radon data, East. J. Approx. 12 (2007), 427-444. FastOPED
• Reconstruction from Radon projections and orthogonal expansion on a ball, J. Physics A: Math. and Theor., 40 (2007) 7239-7253. Radon2
• (with O. Tischenko, C. Hoeschen) Image reconstruction by OPED algorithm with averaging, Numer. Algo. 45 (2007), 179-193. OPEDave
• (with P. Iliev) Discrete orthogonal polynomials and difference equations of several variables, Adv. in Math., 212 (2007) 1-36. Difference
• (with O. Tischenko and C. Heoschen) Approximation and reconstruction from attenuated Radon projections, SIAM J. Numer. Anal., 45 (2007), 108-132. Attenuated
• (with W. Castell and F. Lain Fernandez) Polynomial interpolation on the unit sphere II, Adv. in Comp. Math. 26 (2007), 155-171. Interpolation II
• (with S. Thangavelu) Riesz transform and singular integrals for Dunkl transform, J. Comp. Appl. Math. 199 (2007), 181-195. Riesz

SPIE Proceedings

• (O. Tischenko, Y. Xu, C. Hoeschen) Improvement of OPED Algorithm by means of introducing an integration in the evaluation process, Proc. SPIE, Vol. 6142, Medical Imaging 2007: Physics of Medical Imaging, 6142-5L.
• (H. de las Heras, O. Tischenko, W. Panzera, Y. Xu and C. Heoschen) Modelling and testing of a non-standard scanning device with dose reduction potential, Proc. SPIE, Vol. 6142, Medical Imaging 2007: Physics of Medical Imaging, 6142-3R.

2006

• Analysis on the unit ball and on the simplex, Elec. Trans. Numer. Anal. 25 (2006), 284-301. Atlanta
• (with L. Bos, M. Caliari, S. De Marchi and M. Vianello) Bivariate Lagrange interpolation at Padua points: the generating curve approach, J. Approx. Theory, 143 (2006) 15-25. Padua1
• A new aproach to the reconstruction of images from Radon projections, Adv. in Applied Math. 36 (2006), 388-420. Radon
• A family of Sobolev orthogonal polynomials on the unit ball, J. Approx. Theory 138 (2006), 232-241. Sobolev

SPIE Proceedings

• (with O. Tischenko and C. Heoschen) A new reconstruction algorithm for Radon data, Proc. SPIE, Vol. 6142, Medical Imaging 2006: Physics of Medical Imaging, p. 791-798.
• (with O. Tischenko and C. Heoschen) A new scanning device in CT with dose reduction potential, Proc. SPIE, Vol. 6142, Medical Imaging 2006: Physics of Medical Imaging, p. 893-899.

2005

• (with S. Thangavelu) Generalized translation and convolution operator for Dunkl transform, J. d'Analyse Mathematique 97 (2005) 25-56. Dunkl transform
• ( with B. Bojanov) Reconstruction of a polynomial from its Radon projections, SIAM J. Math. Anal. 37 (2005), 238-250. Radon
• ( with P. Petrushev) Localized polynomial frames on the interval with Jacobi weights, J. Fourier Anal. Appl. 11 (2005), 557 - 575. Jacobi
• Second order difference equations and discrete orthogonal polynomials of two variables, Int. Math. Res. Notice , 2005:8 (2005) 449-475. Difference
• Rodrigues type formula for orthogonal polynomials on the unit ball, Proc. Amer. Math. Soc. 133 (2005), 1965-1976. Rodrig.pdf
• Almost everywhere convergence of orthogonal expansions of several variables, Const. Approx., 22 (2005), 67 - 93. Almost
• ( with B. Kroetz and S. Thangavelu) The heat kernel transform for the Heisenberg group, J. Funct. Anal. 225 (2005), 301-336. Heisenberg
• Best approximation of monomials in several variables, Rend. del Cir. Matema. di Palermo (Proceedings of 5th International Conference on Functional Analysis and Approximation Theory, Acquafredda di Maratea, Italy, June 16-23, 2004), Serie II, 76 (2005), 129 - 155. FAAT04.pdf
• ( with P. Vertesi) Mean convergence of orthogonal Fourier series and interpolating polynomials, Acta. Math. Hunga. 7 (2005), no. 1-2, 119--147. VertesiXu
• Generalized translation operator and approxiamtion in several variables, J. Comp. Appl. Math. (Proceedings of Seventh International Symposium on Orthogonal Polynomials, Special Functions and Applications, Copenhagen, Denmark, August 18 - 22, 2003), 178 (2005), p. 489-512. Transl JCAM.pdf
• Monomial orthogonal polynomials of several variables, J. Approx. Theory, 133 (2005), 1-37. Preprint, May, 2002. Monomial.pdf
• Weighted approximation of functions on the unit sphere, Const. Approx., 21 (2005), 1-28. Preprint, July 2002. Bestapp

2004

• On Discrete orthogonal polynomials of several variables, Adv. in Applied Math., 33 (2004), 615-632. Discrete
• On polynomials of least deviation from zero in several variables, J. Experimental Math. 13 (2004), 103-112. Least, revised Least.pdf
• Approximation by means of $h$-harmonics polynomials on the unit sphere, Adv. in Comp. Math., 20 (2004), 247-260. ApproxSph.ps.gz
• On polynomial interpolation on the unit ball, Approximation Theory: A volume dedicated to Borislav Bojanov , (D. K. Dimitrov, G. Nikolov, and R. Uluchev, eds.), Marin Drinov Acad. Publ. House, Sofia, 2004, p. 325-337.
• Polynomial interpolation on the unit sphere and on the unit ball, Adv. in Comp. Math., 20 (2004), p. 247-260. ACMinterp.ps.gz

2003

• Polynomial interpolation on the unit sphere, SIAM J. Numer. Anal., 41 (2003), p. 751-766. InterSph.ps.gz
• (with Zhongkai Li) Summability of orthogonal expansions of several variables, J. Approx. Theory, 122 (2003), 267-333. Li-Xu.ps.gz
• Lower bound for the number of nodes of cubature formulae on the unit ball, J. Complexity, 19 (2003), 392-402. CFbound.ps.gz
• Orthogonal expansions and weighted approximation on the unit sphere, Constructive Function Theory, DARBA, Sofia, 2003, p. 156-177. Varna.ps.gz
• (with B. Bojanov) Polynomial interpolation of two variables based on a factorization method. J. Approx. Theory, 120 (2003), 267-282. BoXu2.ps.gz

2002

• An integral formula for generalized Gegenbauer polynomials and Jacobi polynomials, Adv. in Applied Math., 29 (2002), 328 -343. Jacobi.ps.gz
• Biorthogonal polynomials and total positive functions, J. Phys. A: Math. Gen., 35 No. 26 (2002), 5499-5510. Biortho.ps.gz
• (with B. Bojanov) On a Hermite interpolation by polynomials of two variables, SIAM. J. Numer. Anal., 39 (2002), 1780-1793. BoXu1.ps.gz

2001

• Representation of reproducing kernels and the Lebesgue constants on the ball, J. Approx. Theory, 112 (2001), 295-310. Reprod.ps.gz
• Orthogonal polynomials and summability on spheres and on balls, Math. Proc. Cambridge Phil. Soc., 31 (2001), 139-155. Ball-Sph.ps.gz
• (with Hubert Berens, Zhongkai Li) On $\ell$-1 Riesz summability of the inverse Fourier integral, Indag. Math., 12 (2001), 41-53. BLX.ps.gz
• Orthogonal polynomials on the ball and on the simplex for weight functions with reflection symmetries, Const. Approx., 17 (2001), 383-412. Classical.ps.gz
• (wiht S. Heo) Constructing cubature formulae for sphere and triangle, Math. Comp., 70 (2001), 269-279. HeoXu2.pdf. Also see LongVersion.pdf, the reference [6] in the paper, a longer version that contains numerical values of the weights and abscissas of the rules.
• Orthogonal polynomials and cubature formulae on the balls, simplices, and spheres, J. Comp. Appl. Math., 127 (2001), 349-368. OP-CF.ps.gz

2000

• (with S. Heo) Invariant cubature formulae for spheres and balls by combinatorial methods, SIAM J. Numer. Anal., 38 (2000), 626-638. HeoXu.pdf
• A note on summability of Laguerre expansions, Proc. Amer. Math. Soc., 128 (2000), 3571--3578. Laguerre.ps.gz
• A product formula for Jacobi polynomials, in Special Functions, Proceedings of International Workshop, Hong Kong, June 21-25, 1999, World Sci. Publ., 2000, p. 423-430. Intertw.ps.gz
• Harmonic polynomials associated with reflection groups, Can. Math. Bulletin, 43 (2000), 496--507. Harmon.ps.gz
• Funk-Hecke formulae for orthogonal polynomials on sphere and on balls, Bull. London Math. Soc., 32 (2000), 447-457. FunkHecke.ps.gz
• (with Zhongkai Li) Summability of the product Jacobi series, J. Approx. Theory, 104 (2000), 287-301. LiXu.ps.gz
• Polynomial interpolation in several variables, cubature formulae, and ideals, Advances in Comp. Math., 12 (2000), 363-376. Interpo.ps.gz
• Constructing cubature formulae by the method of reproducing kernel, Numer. Math., 85 (2000), 155-173. ReprodCF.ps.gz

1999

• Cubature formula and polynomial ideals, Advances in Applied Math., 23 (1999), 211-233.
• (with S. Heo) Constructing cubature formulae for spheres and balls, J. Comp. Appl. Math. 112 (1999), 95-119.
• Aymptotics of the Christoffel functions on a simplex in $\RR^d$, J. Approx. Theory, 99 (1999), 122-133.
• (with S. Heo) Constructing symmetric cubature formulae on a triangle, Advances in Computational Mathematics, eds. Z. Chen et al., Marcel Dekker, Inc., New York, 1999, 203-221.
• Summability of Fourier orthogonal series for Jacobi weight on a ball in $\RR^d$, Trans. Amer. Math. Soc., 351 (1999), pp. 2439-2458. Preprint, Aug. 1995

1998

• Summability of Fourier orthogonal series for Jacobi weight functions on the simplex in $\RR^d$, Proc. Amer. Math. Soc., 126 (1998), 3027-3036.
• Orthogonal polynomials and cubature formulae on spheres and on simplices, Methods Anal. and Appl., 5 (1998), p. 169-184.
• Minimal Cubature formulae for a family of radial weight functions, Advances in Comp. Math., 8 (1998), 367-380.
• Intertwining operator and $h$-harmonics associated with reflection group, Canadian J. Math., 50 (1998), 193-209.
• Orthogonal polynomials and cubature formulae on spheres and on balls, SIAM J. Math. Anal., 29 (1998), 779-793.
SIAMsphere.pdf

1997

• Integration of the intertwining operator for $h$-harmonic polynomials associated to reflection groups, Proc. Amer. Math. Soc., 125 (1997), 2963-297.
• (with H. Berens, M. Finzel, W. Li) Hoffman's error bounds and uniform Lipschitz continuity of Best $\ell_p$-approximations, J. Math. Anal. Appl. , 213 (1997), 183-201.
• Orthogonal polynomials for a family of product weight functions on the spheres, Canadian J. Math., 49 (1997), 175-192. Sphere.ps.gz
• (with H. Berens) $\ell$-1 summability for multivariate Fourier integrals and positivity, Math. Proc. Cambridge Phil. Soc. 122 (1997), 149--172.
• Summability of certain ultraspherical orthogonal sereis in several variables, in The heritage of P. L. Chebyshev: a Festschrift in honor of the 70th birthday of T. J. Rivlin. Ann. Numer. Math. 4 (1997), 623-638.
• On orthogonal polynomials in several variables, Special Functions, $q$-sereis and Related Topics, The Fields Institute for Research in Mathematical Sciences, Communications Series, Volume 14, 1997, p. 247-270 fields.pdf
• On commuting family of block Jacobi matrices, Comput. Math. Appl. 33 (1997), 211-222.

1996

• Asymptotics for orthogonal polynomials and Christoffel functions on a ball, Methods and Appl. Analysis, 3 (1996), 257-272.
• (with T. Sauer) Regular points for Lagrange interpolation on the unit disk, Numer. Algorithm, 12 (1996), p. 287-296.
• Lagrange interpolation on Chebyshev points of two variables, J. Approx. Theory, 87 (1996), p. 220-238.
JAT96.pdf
• (with H. Berens) Fejer means for multivariate Fourier series, Math. Z. 221 (1996), 449-465.
• (with J. Galambos) Two sets of multivaraite Bonferroni-type inequalities, in Statistical Theory and Applications: Papers in Honor of Herbert A. David, H.N. Nagaraja et. al. eds., Springer-Verlag, New York, 1996, 29-36.
• (with J. Levesly, W. Light, E. W. Cheney) Convolution operators for radial basis approximation, SIAM J. Math. Anal. 27 (1996), 286-304.

1995

• (with T. Sauer) On multivariate Hermite interpolation, Advances in Comp. Math., 4 (1995), 207-259.
• Christoffel functions and Fourier Series for multivariate orthogonal polynomials, J. Approx. Theory, 82 (1995), 205-239.
• (with T. Sauer) A case study in multivariate Lagrange interpolation, in Approximation Theory, Wavelets, and Applications (Maratea, 1994), NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., 454, Kluwer Acad. Publ., 1995, 443-452.
• (with H. Berens) $\ell$-1 Riesz means of the inverse Fourier integral, Approximation Theory VIII, Vol. 1, C.K. Chui and L. Schumaker eds., World Sci. Publ. Co., 1995, 55-62.
• (with P. Vertesi) Mean convergence of Hermite interpolation, revisited. Acta Math. Hungar. 69 (1995), 185-210.
• (with T. Sauer) On multivariate Lagrange interpolation, Math. Comp. 64 (1995), 1147-1170.
• (with H. Berens, H. Schmid) Multivariate Gaussian cubature formula, Arch. Math. 64 (1995), 26-32.
• (with J. Galambos) Bivariate extension of the method of polynomials for Bonferroni-type inequalities, J. Multivariate Analysis, 52 (1995), 131-139.
• (with H. Berens, H. Schmid) On two-dimensional definite orthogonal systems and on lower bound for the number of associated cubature formulas, SIAM J. Math. Anal. 26 (1995), 468-487.

1994

• A Characterization of positive quadrature formulae, Math. Comp. 62 (1994), 703-718.
• Solutions of three-term relation in several variables, Proc. Amer. Math. Soc. 122 (1994), 151-155.
• A class of Bivariate orthogonal polynomials and cubature formula, Numer. Math. 69 (1994), 233-241
• Quasi orthogonal polynomial, quadrature, and interpolation, J. Math. Anal. Appl. 182 (1994), 779-799.
• On zeros of multivariate quasi-orthogonal polynomials and Gaussian cubature formulae, SIAM J. Math. Anal. 25 (1994), 991-1001.
• (with H. Schmid) On bivariable Gaussian cubature formulae, Proc. Amer. Math. Soc. 122 (1994), 833-842.
• Recurrence formula for multivariate orthogonal polynomials, Math. Comp. 62 (1994), 687-702.
• Block Jacobi matrices and zeros of multivariable orthogonal polynomials, Trans. Amer. Math. Soc. 342 (1994), 855-866.
• Multivariable orthogonal polynomials and operator theory, Trans. Amer. Math. Soc. 343 (1994), 193-202.
• (with P. Nevai) Mean convergence of Hermite interpolation, J. Approx. Theory 77 (1994), 282-304.
• (with J. Prestin) Convergence of trigonometric interpolant for non-smooth functions, J. Approx. Theory 77 (1994), 113-122.
• Mean convergence of generalized Jacobi series and interpolating polynomials, II, J. Approx. Theory, 76 (1994), 77-92.

1993

• Unbounded commuting operators and multivariate orthogonal polynomials, Proc. Amer. Math. Soc. 119 (1993), 1223-1231.
• On multivariable orthogonal polynomials, SIAM J. Math. Anal. 24 (1993) 783-794.
• Mean convergence of generalized Jacobi series and interpolating polynomials, I, J. Approx. Theory, 72 (1993), 237 -- 251.
• (with D.J. Newman) Tchebycheff polynomials on triangle, Constr. Approx., 9 (1993), 543-546.
• (with E.W. Cheney) A set of research problems in approximation theory, Topics in Polynomials of One and Several Variables and Their Applications, edited by T.M. Rassias, H.M. Srivastava, and A. Yanushanskas, World Scientific Publ., London, 1993, 109-123.
• (with B. Gao) Univariant approximation by superpositions of a sigmoidal function, J. Math. Anal. Appl., 178 (1993), 221-226.
• (with P. Vertesi) Truncated Hermite interpolating polynomials, Studia Sci. Math. Hungar. 28 (1993), 205-213.
• (with E.W. Cheney, W. Light) Constructive methods of approximation by ridge functions and radial functions, Numer. Algorithms. 4 (1993) 205-223.
• (with J. Galambos) Some optimal bivariable Bonferroni-type bounds, Proc. Amer. Math. Soc. 117 (1993), 523-528.

1992

• Gaussian cubature and bivariable polynomial interpolation, Math. Comp. 59 (1992) 547-555.
• (with E.W. Cheney) Strictly positive definite functions on sphere, Proc. Amer. Math. Soc., 116 (1992), 977-981.
• (with E.W. Cheney, W. Light) On kernels and approximation order, Approximation Theory, Lecture Notes in Pure & Applied Math. 138, G. Anastassiou ed. Marcel Dekker, 1992, 227-242.
• (with J. Galambos) Univariant and multivariate Bonferroni-type inequalities: Methods for prrof and questions of optimality, Probability Theory and Applications - in honour of Professor Jorsef Magyorodi, J. Galambos and I. Katai eds. Kluwer Academic Pub. Dordrecht, 1992. p. 155 -164.
• On mean convergence of interpolating polynomials, Approximation theory, Kecskemet, Hungary, Colloq. Math. Soc. Janos Bolyai, 58, 1992, 749-761.
• (with E.W. Cheney) Interpolation by periodic radial functions, Comput. Math. Appl. 24 (1992), 201-215.
• (with H.N. Mhaskar) Hermite interpolation at the zeros of certain Freud-type orthogonal polynomials, Acta Math. Acta Sci. Hungar. 60 (3-4) 1992, 225-240.
• (with H. Berens, H.J. Schmid) Bernstein-Durrmeyer polynomials on a simplex, J. Approx. Theory, 68(1992), 246-260.
• (with P. Vertesi) Weighted $L^{p$ convergence of Hermite interpolation of higher order, Acta Math. Acta Sci. Hungar. 59 (1992), 423-438.

1991

• (with H. Berens) K-moduli, moduli of smoothness, and Bernstein polynomials on simplices, Nederl. Akad. Wetensch. Proc. Ser. A, 2 (4), 1991, 411-421.
• The generalized Marcinkiewicz-Zygmund inequality for trigonometric polynomials, J. Mathematical Analysis and Applications, 161(1991) 447-456.
• (with A. Sharma) Mean convergence of trigonometric interpolants on equidistant notes: Birkhoff data, Bulletin of Polish Academy of Sciences, 39(1991), No. 3-4, 199- 206.
• (with H. Berens) On Bernstein-Durrmeyer polynomials with Jacobi weights, Addendum, Approximation, Interpolation, and summation, S. Baron & D. Leviatan eds., Iseral Math. Conf. Proc. 4, Weizmann Science Press of Iseral, Jerusalem 1991, 51-62.
• The Marcinkiewicz-Zygmund inequality wih derivatives, Approx. Theory its Appl., 8(1991), 100-107.
• (with H.N. Mhaskar) Mean convergence of the Freud polynomial expansion, SIAM J. Mathematics Analysis, 22(1991), 847-855.
• Rate of convergence of Hermite-Fejer interpolation of higher order, Progress in Approximation Theory, P. Nevai and A. Pinkus eds. Academic Press, 1991, 893-897; Erratum, J. Approx. Theory, 68(1992), p. 330.
• On Marcinkiewicz-Zygmund inequality, Progress in Approximation Theory, P. Nevai and A. Pinkus eds. Academic Press, 1991, 879-891.
• On rational Hermite-Fejer type interpolation, Progress in Approximation Theory, P. Nevai and A. Pinkus eds. Academic Press, 1991, 867-877.

1990 --

• (with H. Berens) On Bernstein-Durrmeyer polynomials with Jacobi weights, Approximation Theory and Functional Analysis, C.K.Chui ed. Academic Press, p. 25--46, 1990
• (with J. Galambos) Regularly varying expected residual life and domains of attraction of extreme value distributions, Ann. Univ. Sci. Budapest, Sectio Math. 33(1990), 105-108.
• (with P. Vertesi) Mean convergence of quasi Hermite-Fejer interpolation, Studia Sci. Math. Hungar. 25(1990), 129-145.
• (with J. Galambos) A new method for generating Bonferroni-type inequalities, Math. Proc. of Cambridge Philosophical Society, 107(1990) 601-607.
• (with L. Brutman, P. Vertesi) Interpolation by polynomials in z and z^{-1} on an annulus, IMA J. Numer. Anal. 10(1990), 235-241.
• (with H.N. Mhaskar) The rate of convergence of a Hermite interpolation, Approximation Theory VI, C.K.Chui et al. eds., Academic Press, 433-436,1989.
• On the norm of the Hermite interpolation operator, Approximation Theory VI, C.K.Chui et al. eds., Academic Press, 683-686, 1989.
• (with P. Vertesi) Order of mean convergence of Hermite-Fejer interpolation, Studia Sci. Math. Hungar. 24(1989), 391-401.
• (with X.D. Tan) Some inequalities of Bonferroni-Galambos type, Statistics and Probability Letter, 8(1989), 17-20.
• Bonferroni-type inequalities via interpolating polynomials, Proc. Amer. Math. Soc. 107(1989), 825-831.
• Weight functions for Chebyshev quadrature, Math. Comp., 53(1989), 297-302.
• Existence and uniqueness of polynomial interpolation splines (in Chinese), Numer. Math. J. Chinese Univ. (7)1985, No.3, 271-274.
• A kind of Bezier parametric cubic curves (in Chinese), J. Engineering Math. 2(1985), No.1, 107-112.
• C^3 quintic interpolation splines, (in Chinese), Ibid, no.2, 1985, 69-74.
• Lacunary spline interpolation of even degree, (in Chinese), J. Beijing Inst. Aero. and Astro., no.3, 1984, 93-101.
• Splines of even degree with coefficients expressed by odd order derivatives (in Chinese), Math. Numer. Sinica, 6(1984), 434-438.
• A kind of Hermite-Fejer interpolation polynomials, J. Engineering Math., 2(1985), No.2, 148-154 (in Chinese); English abstract: Kexue Tongbao (A Monthly Journal of Science), 29(1984), 1272-1273.
• Lacunary interpolation splines, J. Computational Math. 2(1984), 41-49.