Mathematical Sciences: Potential Theoretical Methods in Approximation Theory

数学科学：近似论中潜在的理论方法

• 批准号: 9101380
• 负责人: Vilmos Totik
• 金额: $ 1.5万
• 依托单位: University of South Florida
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1991
• 资助国家: 美国
• 起止时间: 1991-06-01 至 1992-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9101380&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Potential; Theoretical; Methods

In this project the principal investigator will continue his research on the asymptotic behavior of orthogonal polynomials and their zeros with respect to general weights with compact support in the plane. He will also explore the possibility of using potential theory to study orthogonal polynomials in collaboration with faculty members at the University of South Florida. Finally the principal investigator will study asymptotic questions related to the support of the Christoffel function under fairly general assumptions. The study of the properties of orthogonal polynomials is important in its own right and for the light it sheds on various problems in approximation theory, numerical analysis and differential equations. In this project the principal investigator, in collaboration with experts at the University of South Florida, will continue his valuable work on the asymptotic properties of orthogonal polynomials under general conditions through the use of potential theory.

在这个项目中，首席研究员将继续他的 正交多项式渐近性的研究 它们的零点关于紧支集的一般权 在飞机上。 他还将探讨利用 位势理论与正交多项式的合作研究 与南佛罗里达大学的教职员工一起。 最后 首席研究员将研究渐近问题 与Christoffel函数的支持有关， 一般假设。 正交多项式性质的研究是 它本身就很重要，因为它揭示了各种 近似理论、数值分析和 微分方程 在这个项目中，校长 研究人员与哥伦比亚大学的专家合作， 南佛罗里达，将继续他的宝贵工作的渐近 一般条件下正交多项式的性质 通过使用潜在理论。