About this Journal Submit a Manuscript Table of Contents
Abstract and Applied Analysis
Volume 2012 (2012), Article ID 386359, 17 pages
http://dx.doi.org/10.1155/2012/386359
Research Article

The Zeros of Orthogonal Polynomials for Jacobi-Exponential Weights

Key Laboratory of High Performance Computing and Stochastic Information Processing (HPCSIP) (Ministry of Education of China), College of Mathematics and Computer Science, Hunan Normal University, Hunan, Changsha 410081, China

Received 13 July 2012; Revised 14 October 2012; Accepted 19 October 2012

Academic Editor: Patricia J. Y. Wong

Copyright © 2012 Rong Liu and Ying Guang Shi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. A. L. Levin and D. S. Lubinsky, Orthogonal Polynomials for Exponential Weights, vol. 4 of CMS Books in Mathematics, Springer, New York, NY, USA, 2001. View at Publisher · View at Google Scholar
  2. A. L. Levin and D. S. Lubinsky, “Christoffel functions and orthogonal polynomials for exponential weights on [1,1],” Memoirs of the American Mathematical Society, no. 535, 1994.
  3. A. L. Levin and D. S. Lubinsky, “Orthogonal polynomials for exponential weights x2ρe-2Q(x) on [0,d),” Journal of Approximation Theory, vol. 134, no. 2, pp. 199–256, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  4. A. L. Levin and D. S. Lubinsky, “Orthogonal polynomials for exponential weights x2ρe-2Q(x) on [0,d). II,” Journal of Approximation Theory, vol. 139, no. 1-2, pp. 107–143, 2006. View at Publisher · View at Google Scholar
  5. T. Kasuga and R. Sakai, “Orthonormal polynomials with generalized Freud-type weights,” Journal of Approximation Theory, vol. 121, no. 1, pp. 13–53, 2003. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  6. Y. G. Shi, “On generalized Christoffel functions,” Acta Mathematica Hungarica, vol. 135, no. 3, pp. 213–228, 2012. View at Publisher · View at Google Scholar
  7. G. Mastroianni and V. Totik, “Uniform spacing of zeros of orthogonal polynomials,” Constructive Approximation, vol. 32, no. 2, pp. 181–192, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  8. Y. G. Shi and R. Liu, “Generalized Christoffel functions for Jacobi-exponential weights on [1,1],” submitted to Acta Mathematica Scientia.
  9. Y. G. Shi, Power Orthogonal Polynomials, Nova Science Publishers, New York, NY, USA, 2006.