Zeros of Sobolev orthogonal polynomials on the unit circle

In this contribution, we study the sequences of orthogonal polynomials with respect to the Sobolev inner product where mu is a nontrivial probability measure supported on the unit circle, alpha aaEuro parts per thousand a",, and j aaEuro parts per thousand a"center dot. In particular, we analyze the behavior of their zeros when n and lambda tend to infinity, respectively. We also provide some numerical examples to illustrate the behavior of these zeros with respect to alpha.

Zeros of Sobolev orthogonal polynomials on the unit circle Articles