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.
作者
马海腾
孔建霞
许贵桥
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)
出处
《内蒙古大学学报（自然科学版）》
CAS
北大核心
2019年第1期6-10,共5页
Journal of Inner Mongolia University：Natural Science Edition
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
Gauss-Legendre quadrature formula
Chebyshev-Gauss quadrature formula
maximum frame
class of analytic functions
integral problem
