Sobolev Orthogonal Polynomials with a Small Number of Real Zeros
نویسندگان
چکیده
منابع مشابه
Zeros of orthogonal polynomials in a non-discrete Sobolev space
Let fS n g denote a set of polynomials orthogonal with respect to the Sobolev inner product hf; gi = Z b a f(x)g(x)d 0 (x) + Z b a f 0 (x)g 0 (x)d 1 (x); where 0. If d 0 = d 1 is the Jacobian measure, then for n 2 and suuciently large, S n has n diierent real zeros interlacing with the zeros of P ;; n?1. This result can be generalized to a situation where d 0 and d 1 are not identical, but are ...
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Article history: Received 15 December 2008 Available online 3 March 2010 Submitted by D. Waterman
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 1994
ISSN: 0021-9045
DOI: 10.1006/jath.1994.1052