Function-valued partial Padé-type approximation method for estimating eigenvalues of Fredholm integral equation of the second kind  

估计第二类Fredholm积分方程特征值的函数值部分Padé-型逼近方法(英文)

作　　者：顾传青 沈进东 

机构地区：[1]Department of Mathematics,College of Sciences,Shanghai University

出　　处：《Journal of Shanghai University(English Edition)》2007年第6期531-535,共5页上海大学学报（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Grant No.10271074)

摘　　要：Abstract A new function-valued partial Padé-type approximation was introduced in the polynomial space, and an explicit determinant formula was derived by means of some orthogonal polynomials. This method can be applied to estimating surplus eigenvalues of the Fredholm integral equation of the second kind when its partial eigenvalues have been known, and at the same time, it can be applied to solving the approximating solution of the given equation.Abstract A new function-valued partial Padé-type approximation was introduced in the polynomial space, and an explicit determinant formula was derived by means of some orthogonal polynomials. This method can be applied to estimating surplus eigenvalues of the Fredholm integral equation of the second kind when its partial eigenvalues have been known, and at the same time, it can be applied to solving the approximating solution of the given equation.

关 键 词：linear functional function-valued partial Padé approximation DETERMINANT Fredholm integral equation of thesecond kind eigenvalue. 

分 类 号：O175.5[理学—数学]