DENSITY OF MARKOV SYSTEMS AND ZEROS OF CHEBYSHEV POLYNOMIALS

作     者：Wang Zhengming Zhejiang Normal University 

作者机构：1. Department of Mathematics Zhejing Normal University 321004 Jinhua Zhejing P.R. China 

出 版 物：《Analysis in Theory and Applications》 (分析理论与应用（英文刊）)

年 卷 期：1998年第14卷第2期

页      面：75-77页

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：lim DENSITY OF MARKOV SYSTEMS AND ZEROS OF CHEBYSHEV POLYNOMIALS 

摘      要：We raise and partly answer the question: whether there exists a Markov system with respect to which the zeros of the Chebyshev polynomials are dense, but the maximum length of a zero free interval of the nth Chebyshev polynomial does not tends to zero. We also draw the conclu- tion that a Markov system, under an additional assumption, is dense if and only if the maxi- mum length of a zero free interval of the nth associated Chebyshev polynomial tends to zero.