CHRISTOFFEL FUNCTIONS AND TURAN DETERMINANTS ON SEVERAL INTERVALS

[摘要] We consider orthogonal polynomials on the real line with an underlying asymptotic periodic structure for the coefficients in the three-term recurrence relation. These polynomials live on a set E which consists of several intervals. We give a survey of some techniques for obtaining asymptotic results of the orthogonal polynomials on the oscillatory region E. From these results we obtain a useful technique for approximating the weight function on E by means of Christoffel functions and shifted Turan determinants.

[发布日期] 1993-10-29

[效力级别]  Proceedings Paper

[关键词] ORTHOGONAL POLYNOMIALS;RECURRENCE RELATION;DENSITY ESTIMATION