无穷角形域Baskakov型算子族的Lipschitz类保持性质

PRESERVATION OF LIPSCHITZ CLASS FOR BASKAKOV TYPE OPERATORS ON INFINITE ANGULAR REGION

本文利用分裂随机向量的方法证明了无穷角形域上Ｂａｓｋａｋｏｖ型算子族的Ｌｉｐｓ－ｃｈｉｔｚ类保持性质．然后；利用概率论的技术结合逼近论的方法证明在一定条件下逆命题也成立．

In this paper, we prove that multidimensional Baskakov type operators on in- finite angular region preserve the Lipschitz class by the method of splitting the random vector. Further, by means of the approximation method and the technique of probability, we prove that the inverse result also is true under the certain conditions.