多元大乘积型采样算子的逼近性质  

Approximation properties of multivariate maximal product sampling operators

作　　者：王桂玲 付应雄 WANG Guiling;FU Yingxiong(Faculty of Mathematics and Statistics, Hubei University, Wuhan 430062, China)

机构地区：[1]湖北大学数学与统计学学院,湖北武汉430062

出　　处：《湖北大学学报（自然科学版）》2020年第6期629-633,共5页Journal of Hubei University：Natural Science

基　　金：国家自然科学基金(11771130)资助。

摘　　要：介绍多元核函数广义采样算子的极大形式理论.在极大单核函数广义采样算子结果的基础上,我们利用一阶连续模估计多元极大乘积型采样算子的逼近性质.最后,给出多元核函数的具体例子:sinc-函数.This work introduces the maximal form theory of the generalized sampling operator of multivariate kernel functions.On the basis of the results of generalized sampling operators of maximal mononuclear functions,we estimate the approximation properties of sampling operators of multivariate maximal product type by using the first order continuous modules.Finally,an example of multivariate kernel function is given is sinc-function.

关 键 词：多元广义采样算子 连续模 核函数 

分 类 号：O29[理学—应用数学]