二元乘积型三角插值多项式的逼近  

Approximation by product of bivariate trigonometric interpolation polynomials

作　　者：王小刚[1] 侯象乾[2] 

机构地区：[1]西北第二民族学院基础部,宁夏银川750021 [2]宁夏大学数学计算机学院,宁夏银川750021

出　　处：《兰州理工大学学报》2006年第5期150-153,共4页Journal of Lanzhou University of Technology

基　　金：宁夏自然科学基金(A001);宁夏高等学校科研基金(004M33)

摘　　要：构造了一类基于等距结点组上的二元三角插值多项式算子,使得该算子在全平面上一致收敛到每个以2π为周期的二元连续函数,并且对具有任意阶连续偏导数的函数全体的逼近具有最佳收敛阶.A kind of operator of trigonometric interpolation polynomials with bivariate product was constructed based on an equidistant node set, so that the operator could be converged uniformly to bivariate continuous functions with periodicity of 2π on whole plane, and the convergence order of the approximation would be optimal for a body of functions with arbitrary-ordered continuous partial deritives.

关 键 词：二元三角插值 乘积型 一致收敛 最佳收敛阶 

分 类 号：O174.41[理学—数学]