多元周期卷积类借助于卷积算子的平均逼近

Approximation of Convolution Class of Several Variables by Convolution Operators

讨论了多元周期卷积类借助于卷积算子的一致逼近与平均逼近的Ｈ不等式转化为等式的各种充分必要条件．

ineguality has been proved to be true for uniform approximation andmean approximation of convolution class of several variables by convolution operatrors.This paperis devoted tO investigating some sufficient and necessary conditions .which ensure the sign of equalityin H inequality.