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The Zeros of Orthogonal Polynomials and Markov–Bernstein Inequalities for Jacobi-Exponential Weights on (−1,1)

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  • Rong Liu
  • Markos Koutras

Abstract

Let Ux=∠i=1rx−tipi, 0 −1/p, i=1,2,…,r, and W=e−Qx where Q:−1,1⟶0,∞. We give the estimates of the zeros of orthogonal polynomials for the Jacobi-Exponential weight WU on −1,1. In addition, Markov–Bernstein inequalities for the weight WU are also obtained.

Suggested Citation

  • Rong Liu & Markos Koutras, 2020. "The Zeros of Orthogonal Polynomials and Markov–Bernstein Inequalities for Jacobi-Exponential Weights on (−1,1)," Journal of Mathematics, Hindawi, vol. 2020, pages 1-9, August.
    • Handle: RePEc:hin:jjmath:7805730
    DOI: 10.1155/2020/7805730
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