Zeros of orthogonal polynomials in certain discrete Sobolev spaces

摘要

In this work discrete Sobolev (pseudo-)inner products of type , where d is a quasi-definite Borel measure and ≠ 0, and , where d is a symmetric positive Borel measure, c ≠ 0, and > 0 are considered. General properties of orthogonal polynomials associated with the above discrete Sobolev inner products and their zeros are studied.