高斯求积公式对解析函数类上积分问题的逼近误差  

The Approximation Error of Gauss Quadrature Formula for Integral Problem on Analytic Function Class

作　　者：马海腾[1] 孔建霞 许贵桥[3] 曹莉 MA Hai-teng;KONG Jian-xia;XU Gui-qiao;CAO Li(Department of Mathematics and Physics,Tianjin Tianshi College,Tianjin 301700,China;College of Computer and Information,Inner Mongolia Medical University,Hohhot 010110,China;College of.Mathematics,Tianjin Normal University,Tianjin 300387 ,China;School of Mathematical Science,Inner Mongolia University,Hohhot 010021,China)

机构地区：[1]天津天狮学院数理教学部,天津301700 [2]内蒙古医科大学计算机信息学院,呼和浩特010110 [3]天津师范大学数学科学学院,天津300387 [4]内蒙古大学数学科学学院,呼和浩特010021

出　　处：《内蒙古大学学报（自然科学版）》2019年第1期6-10,共5页Journal of Inner Mongolia University：Natural Science Edition

摘　　要：在最大框架下研究两种高斯型求积公式对解析函数类上积分问题的逼近误差,得到了相应量的准确值,并由此证明了相应的积分问题具有指数型收敛速度.The approximation errors of two Gaussian quadrature formulas on the class of analytic functions under the maximum frame are discussed.The exact values of the corresponding quantities are obtained.Moreover,it is proved that the corresponding integral problems have exponential convergence rates.

关 键 词：高斯-勒让德求积公式 切比晓夫-高斯求积公式 最大框架 解析函数类 积分问题 

分 类 号：O174.41[理学—数学]