Relative Asymptotics for Polynomials Orthogonal with Respect to a Discrete Sobolev Inner Product
نویسندگان
چکیده
We investigate the asymptotic properties of orthogonal polynomials for a class of inner products including the discrete Sobolev inner products 〈h, g〉 = ∫ hg dμ+ ∑m j=1 Nj i=0 Mj,ih (cj)g (cj), where μ is a certain type of complex measure on the real line, and cj are complex numbers in the complement of supp(μ). The Sobolev orthogonal polynomials are compared with the orthogonal polynomials corresponding to the measure μ.
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