Bounds on Orthonormal Polynomials for Restricted Measures

被引:0
|
作者
Lubinsky, D. S. [1 ]
机构
[1] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA
关键词
Orthogonal polynomials; Bounds; Restricted measures; ORTHOGONAL POLYNOMIALS; GROWTH;
D O I
10.1007/s00365-023-09671-z
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Suppose that. is a given positive measure on [-1, 1], and that mu is another measure on the real line, whose restriction to (-1, 1) is nu. We show that one can bound the orthonormal polynomials p(n) (mu, y) for mu and y is an element of R, by the supremum of | S-J ( y) p(n-J) (S-j(2)nu, y )|, where the sup is taken over all 0 <= J <= n and all monic polynomials S-J of degree J with zeros in an appropriate set.
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页数:31
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