广义Baskakov算子及导数的正逆定理

Generalized Baskakov operators and the direct and inverse theorem of its derivatives

给出了广义Baskakov算子的点态正逆定理,并研究了广义Baskakov算子导数与所逼近函数光滑性之间的关系.

In this paper, the positive and inverse approximation theorem of generalized Baskakov operators are studied. Using the DitzianTotik moduli of smoothness, the relations between the derivatives of generalized Baskakov operators and the smoothness of its functions are discussed.