Remarks on orthogonal polynomials with respect to varying measures and related problems. (1993)

• Record Type: Journal Article
• Authors: Li, Xin
• Is Part Of: International journal of mathematics and mathematical sciences. Volume 16:Number 2(1993)
• Page Start: 255
• Page End: 258
• Publication Date: 1993
• Subjects: orthogonal polynomial and rational -- weak-star convergence; Mathematics -- Periodicals; 510.5
• DOI: 10.1155/S0161171293000298
• Languages: English
• ISSNs: 0161-1712

Abstract

Abstract : We point out the relation between the orthogonal polynomials with respect to (w.r.t.) varying measures and the so-called orthogonal rationals on the unit circle in the complex plane. This observation enables us to combine different techniques in the study of these polynomials and rationals. As an example, we present a simple and short proof for a known result on the weak-star convergence of orthogonal polynomials w.r.t, varying measures. Some related problems are also considered.