PUBLICATION OF RESEARCH PAPERS OF XIN LI

The content was last updated on April 27, 2000

  1. A sharp inequality of Markov-tpye for polynomials associated with Laguerre weights, (with H. Carley and R.N. Mohapatra), submitted.
  2. The modulus of polynomials with zeros at the roots of unity, (with H. Carley), American Mathematical Monthly, to appear.
  3. Testing for unit roots in a nearly nonstationary spatial autoregressive process, (with B.B Bhattacharyya, M. Pensky and G.D. Richardson), 52(2000), Ann. Inst. Statist. Math.
  4. Rational interpolation to functions on the unit circle, Methods and Applications of Analysis, 6(1999), 81-96.
  5. Convergence of Interpolating Laurent Polynomials on an Annulus, Continued fractions: from analytic number theory to constructive approximation (Columbia, MO, 1998), 193--204, Contemp. Math., 236, Amer. Math. Soc., Providence, RI, 1999. 41A05 (41A20). PS
  6. Representations of Orthogonal Polynomials for Modified Measures, (with F. Marcellan), Communications in the Analytic Theory of Continued Fractions, 7(1999), 9-22. PS
  7. Regularity of Orthogonal Rational Functions with Poles on the Unit Circle, J. Comput. Appl. Math. 105 (1999), 371-383.
  8. Design of Smoother Robust Control and Output Asymptotic Stabilization of Nonlinear Uncertain System (with Kaloust and Z. Qu), submitted.
  9. Approximation by Rational Functions in Hardy Space, Computers and Mathematics with Applications, 1999. PS
  10. On the Bernstein Inequalities for Rational Functions with a Prescribed Zero (with  R. Jones, R.N. Mohapatra and R.S. Rodriguez), Journal of Approximation Theory, 95 (1998), 476-496.
  11. Strong Approximation of Copulas (with P. Mikusinski and M. Taylor), Journal of Mathematical Analysis and Applications, 225(1998), 608-623. PS
  12. Fourier Analysis, in Encyclopedia of Electrical and Electronics Engineering (John G. Webster, Ed.), John Wiley & Sons, New York, 1998.
  13. Separation Theorem of Chebyshev-Markov-Stieltjes Type for Laurent Polynomials Orthogonal on (0,\infty), in Orthogonal Functions, Moment Theory and Continued Fractions: Theory and Applications ( W.B. Jones and A. Sri Ranga, Eds.), Marcel Dekker, New York, 1998, 327-341. PS
  14. On Chebyshev Inequality, in Approximation Theory, Imemory of A.K. Varma, (N.K. Govil, R.N. Mohapatra, Z. Nashed, A. Sharma, J. Szabados, Eds.), Marcel Dekker, New York, 1998, 353-362.PS
  15. On Approximation of Copulas (with P. Mikusinski, H. Sherwood and M. Taylor), in Distributions with Given Marginals and Moment Problems (V. Benes and J. Stepan, Eds.), Kluwer Academic Publishers, Dordrecht, 1997, 107-116.
  16. How Good (or Bad) is Lagrange Interpolation?, in Fourier Analysis, Approximation Theory and Applications (eds. Z.U. Ahmad, N.K. Govil and P.K. Jain), New Age International, New Delhi, 1997, 135-143.
  17. Integral Formulas and Bernstein Inequalities for Rational Functions, Journal of Mathematical Analysis and Applications, 211(1997), 386-394.
  18. Strong and weak convergence of rational functions orthogonal on the unit circle, (with K. Pan), Journal of London Mathematical Society, (2)53(1996), 289-301.
  19. On polynomials orthogonal with respect to Sobolev inner product on the unit circle, (with F. Marcellan), Pacific Journal of Mathematics, 175(1996), 127-146.
  20. In quest of Birkhoff's theorem in higher dimensions, (with P. Mikusinski, H. Sherwood, M. Taylor), in Distributions with Fixed Marginals and Related Topics, (ed. Ruschendorf et. al.), IML Lecture Notes and Monograph Series, 28, 187-191, 1996.
  21. Nonsquare ``doubly stochastic'' matrices, (with R.M. Caron, P. Mikusinski, H. Sherwood, M. Taylor), in Distributions with Fixed Marginals and Related Topics, (ed. Ruschendorf et. al.), IML Lecture Notes and Monograph Series, 28, 65-75, 1996.
  22. Bernstein type inequalities for rational functions with prescribed poles, (with R.N. Mohapatra and R.S. Rodriguez), Journal of the London Mathematical Society, (2)51(1995), 523-531.
  23. On the Lagrange interpolation for a subset of $C^k$ functions, Constructive Approiximation, 11(1995), 287-297.
  24. Asymptotics of columns in the table of orthogonal polynomials with varying measures, Methods and Applications of Analysis, 2(2)(1995), 222-236.
  25. On the convergence of double least-squares inverses, Proceedings of the International Conference on Computational Mathods and Function Theory (Eds. R.M. Ali, et al), 1995, 101-108.
  26. Asymptotic behavior of orthogonal polynomials corresponding to measure with discrete part off the unit circle, (with K. Pan) Journal of Approximation Theory, 79(1994), 54-71.
  27. Local convergence of Lagrange interpolation associated with equidistant nodes, (with E.B. Saff), Journal of Approximation Theory, 78(1994), 213-225.
  28. Behavior of Lagrange interpolants to the absolute function in equally spaced points, (with E.B. Saff), Rendiconti di Matematica, Serie VII, 14(1994),
  29. Remez and Nikolskii type inequalities for logarithmic potentials, (with T. Erdelyi and E.B. Saff), SIAM Journal on Mathematical Analysis, 25(1994), 365-383.
  30. Ranges of polynomials with curved majorants, Acta Mathematica Hungarica, 65(1994), 297-304.
  31. On the size of polynomials with curved majorant, Journal of Approximation Theory. 76(1994), 93-106.
  32. On a subclass of $C^1$ functions for which the Lagrange interpolation yields the Jackson order of approximation, International Journal of Mathematics and Mathematical Sciences, 17(1994), 209-216.
  33. On the divergence of Lagrange interpolation with equidistant nodes, (with R.N. Mohapatra), Proceedings of the American Mathematical Society, 118(1993), 1205-1212.
  34. On Markov's inequality on $R$ for the Hermite weight, (with R.N. Mohapatra and R.S. Rodriguez), Journal of Approximation Theory, 75(1993), 115-129.
  35. Remarks on orthogonal polynomials with respect to varying measures and related problems, International Journal of Mathematics and Mathematical Sciences, 16(1993), 255-258.
  36. A note on orthogonal polynomials, Rocky Mountain Journal of Mathematics, 22(1992), 953-956.
  37. Bound on the extreme zeros of orthogonal polynomials, (with M.E.H. Ismail), Proceedings of the American Mathematical Society, 115(1992), 131-140.
  38. On sieved orthogonal polynomials IX: orthogonality on the unit circle, (with M.E.H. Ismail), Pacific Journal of Mathematics, 153(1992), 289-297.
  39. Problem 10250, American Mathematical Monthly, 99(1992), 782; Solution, 103(1996), 904-905.
  40. Asymptotics for $L_p$ extremal polynomials on the unit circle, (with K. Pan), Journal of Approximation Theory, 67(1991), 270-283.
  41. Uniform convergence of polynomials associated with varying Jacobi weights, (with X. He), Rocky Mountain Journal of Mathematics, 21(1991), 281-300.
  42. On Nevai's characterization of measures with almost everywhere positive derivative, (with E.B. Saff), Journal of Approximation Theory, 63(1990), 191-197.
  43. Behavior of best $L_p$ polynomial approximation on the unit interval and on the unit circle, (with E.B. Saff and Z. Sha), Journal of Approximation Theory, 63(1990), 170-190.
  44. On uniqueness of solution to pointwise Landau problem on the finite interval, (with D. Huang, Z. Ye and X. Wang), Approximation Theory and its Applications, 2(1986), 39-47.

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