球面卷积算子的收敛与逼近

The Convergence and Approximation of Spherical Convolution Operators

讨论了球面卷积算子的收敛性，给出了卷积算子收敛的若干等价描述，并估计了其收敛速度．应用所得结果，得到了球面ＪａｃｋｓｏｎＭａｔｓｕｏｋａ算子的逼近度估式．

The convergence of spherical convolution operators is studied.The equivalent conditions of convergence and estimates for approximation by spherical convolution operators are established As an example,the approximatoin orders of spherical Jackson-Matsuoka operators are presented