多元大乘积型采样算子的逼近性质

Approximation properties of multivariate maximal product sampling operators

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.