A Uniqueness Theorem of a System of Nonlinear Equations and Its Applications  

作　　者：Rong LIU 

机构地区：[1]College of Computer and Information Science, Fujian Agriculture and Forestry University [2]College of Mathematics and Computer Science, Hunan Normal University

出　　处：《Acta Mathematicae Applicatae Sinica》2015年第1期111-120,共10页应用数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China(No.11171100,10871065 and 11071064);by the Research Project of Fujian Agriculture and Forestry University(No.KXML2028A)

摘　　要：A uniqueness theorem of a solution of a system of nonlinear equations is given. Using this result uniqueness theorems for power orthogonal polynomials, for a Gaussian quadrature formula of an extended Chebyshev system, and for a Gaussian Birkhoff quadrature formula are easily deduced.A uniqueness theorem of a solution of a system of nonlinear equations is given. Using this result uniqueness theorems for power orthogonal polynomials, for a Gaussian quadrature formula of an extended Chebyshev system, and for a Gaussian Birkhoff quadrature formula are easily deduced.

关 键 词：uniqueness theorems power orthogonal polynomials Gaussian quadrature formula extendedChebyshev system Gaussian Birkhoff quadrature formula 

分 类 号：O175[理学—数学]