Zero Distribution of Orthogonal Polynomials in a Certain Discrete Sobolev Space
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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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1993
ISSN: 0022-247X
DOI: 10.1006/jmaa.1993.1041