在Sobolev空间上的Cesa'ro算子逼近

Approximation by the Cesa'ro operators on the sobolev space

逼近的思想和方法渗透于几乎所有的学科,其中包括自然科学和人文科学中的学科。函数逼近论是近现代数学的重要研究方向。我们讨论Cesa'ro算子San在具有高斯测度的Sobolev空间上的逼近,并且获得了在Lq(1≤q≤∞)空间尺度下的平均误差估计。

The thought and method of approximation permeate in almost all the disciplines, including discipline in the natural science and humanities. We discuss the approximation bu the Cesro operators on the Sobolev space with a Gaussian measure and obtain the average error estimations in space for .