一种新的二元Baskakov-Kantorovich算子及其Lp（Δ）逼近

摘要

On the basis of multidimensional general Baskakov operators, this paper introduces a new multidimensional non-product-type Baskakov-Kantorovich operator,and discusses the approximation properties in Lp spaces.Besides,we investigate the rate of approximation in Lp spaces by taking advantage of the modulus of smoothness.%在二元广义Baskakov算子的基础上定义了一种新的二元非乘积型Baskakov-Kantorovich算子，并且讨论了该算子在Lp 空间中的逼近性质，进而利用光滑模给出该算子在Lp 空间上的逼近阶。