期刊
JOURNAL OF APPROXIMATION THEORY
卷 161, 期 2, 页码 508-510出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jat.2008.11.008
关键词
Orthogonality of a monic polynomial sequence; Interlacing of zeros
类别
资金
- National Research Foundation [61095]
Let {t(n)}(n=0)(infinity) be a sequence of monic polynomials with deg(t(n)) = n such that, for each n is an element of N, the zeros of t(n) are real and simple and t(n) and t(n+1) have no common zeros. We discuss the connection between the orthogonality of the sequence, the positivity of a certain ratio, and the interlacing of the zeros of t(n) and t(n+1) for n >= 1, n is an element of N. (C) 2008 Elsevier Inc. All rights reserved.
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