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

摘要

Let Ux=∏i=1rx?tipi, 0p∞, ?1=trtr?1?t2t1=1,?r≥2,?pi?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.