二元非乘积型Lupas-Baskakov算子的极限及逼近性质

摘要

Using the knowledge of probability and approximation theories,the limits of two-dimensional non-product-type Lupas-Baskakov operators were discussed.And by means of decomposition technique for multicomponent operators,the Voronovskaja-type expansion of approximation was obtained.%对于二元非乘积型Lupas-Baskakov算子,结合逼近论和概率论的知识讨论该算子的极限,运用多元算子分解技巧得到该算子逼近的Voronovskaja型展式.