Mathematical Sciences: Studies in Approximation Theory and Orthogonal Polynomials

数学科学：近似论和正交多项式研究

• 批准号: 9024901
• 负责人: Paul Nevai
• 金额: --
• 依托单位: Ohio State University Research Foundation -DO NOT USE
• 依托单位国家: 美国
• 项目类别: Continuing grant
• 财政年份: 1991
• 资助国家: 美国
• 起止时间: 1991-06-01 至 1995-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9024901&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Studies; Approximation; Theory

The two investigators on this project will work on various problems in approximation theory and in the theory of orthogonal polynomials. Professor Nevai will concentrate on ordinary and generalized polynomial inequalities, difference and differential equations, spectral theory of tradiagonal and banded matrices, Toeplitz and Hankel forms, Hilbert space operators and Jacobi matrices. In addition to this analytical work Professor Nevai will continue to develop software for orthogonal polynomials. Professor Erdelyi will work on extremal properties of ordinary and generalized polynomials and on various types of polynomial inequalities that figure prominently in approximation theory. The investigators will work independently of each other on some problems and collaboratively on others, their talents complementing each other.

该项目的两名调查员将从事各种工作 近似理论和正交理论中的问题 多项式 Nevai教授将专注于普通和 广义多项式不等式，差分与微分 方程，超对角和带状矩阵的谱理论， Toeplitz和Hankel形式，Hilbert空间算子和Jacobi 矩阵 除了这项分析工作外， 将继续开发正交多项式软件。 Erdelyi教授将研究 普通和广义多项式和各种类型的 多项式不等式在近似中起着重要作用 理论 调查人员将相互独立地工作 在一些问题上，在另一些问题上， 相互补充。