## Abstract

Let I = [ 0, d ), where d is finite or infinite. Let W_{ρ} fenced(x) = x^{ρ} exp fenced(- Q fenced(x)), where ρ > - frac(1, 2) and Q is continuous and increasing on I, with limit ∞ at d. We obtain further bounds on the orthonormal polynomials associated with the weight W_{ρ}^{2}, finer spacing on their zeros, and estimates of their associated fundamental polynomials of Lagrange interpolation. In addition, we obtain weighted Markov and Bernstein inequalities.

Original language | English |
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Pages (from-to) | 107-143 |

Number of pages | 37 |

Journal | Journal of Approximation Theory |

Volume | 139 |

Issue number | 1-2 |

DOIs | |

State | Published - Mar 2006 |

### Bibliographical note

Funding Information:∗ Corresponding author. Fax: 404 894 4409. E-mail address: lubinsky@math.gatech.edu (Doron Lubinsky). 1Research of second author supported by NSF grant DMS 0400446.

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