SZEGO EXTREMUM PROBLEM ON THE UNIT-CIRCLE

• 成果类型: Article
• 署名作者: MATE, A; NEVAI, P; TOTIK, V
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.2307/2944352
• 发表日期: 1991
• 页码: 433-453
• 关键词: orthogonal polynomials; lp

摘要

It is shown that the Christoffel functions arising from the Szego extremum problem associated with a finite positive Borel measure on the interval [-pi, pi] satisfy [GRAPHICS] whenever mu belongs to the Szego class; that is, log-mu' element-of L1. Some implications of this result are discussed.