ORTHOGONAL POLYNOMIALS AND DETERMINANT FORMULAS OF FUNCTION-VALUED PADE-TYPE APPROXIMATION USING FOR SOLUTION OF INTEGRAL EQUATIONS  

作　　者：顾传青 潘宝珍 吴蓓蓓 

机构地区：[1]Department of Mathematics Shanghai University,Shanghai 200444,P. R. China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2006年第6期853-860,共8页应用数学和力学（英文版）

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

摘　　要：To solve Fredholm integral equations of the second kind, a generalized linear functional is introduced and a new function-valued Padé-type approximation is defined. By means of the power series expansion of the solution, this method can construct an approximate solution to solve the given integral equation. On the basis of the orthogonal polynomials, two useful determinant expressions of the numerator polynomial and the denominator polynomial for Padé-type approximation are explicitly given.To solve Fredholm integral equations of the second kind, a generalized linear functional is introduced and a new function-valued Padé-type approximation is defined. By means of the power series expansion of the solution, this method can construct an approximate solution to solve the given integral equation. On the basis of the orthogonal polynomials, two useful determinant expressions of the numerator polynomial and the denominator polynomial for Padé-type approximation are explicitly given.

关 键 词：generalized linear functional function-valued Padé-type approximation Fredholm integral equation orthogonal polynomial determinant formula 

分 类 号：O241.83[理学—计算数学]