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利用r阶Ditzian-Totik模ωrφλ(f,t)(r∈N,0≤λ≤1),得到关于Szasz-Mirakjan型算子导数的特征刻画定理,建立了算子导数与函数光滑性之间的点态及整体关系,并统一了这2种结果.“,”By means of Ditzian-Totik modulus ωrφλ(f,t) of r order, where r∈N,0≤λ≤1, we derive the local and global characterization theorems for the derivatives of the Szasz-Mirakjan type operators. An equivalence relation including pointwise and global results between the derivatives of the operators and the smoothness of function is obtained. These results bridge the gap between the pointwise conclusions and the global conclusions.