一类修正的Szasz-Mirakjan-Kantorovich算子的逼近性质
Approximation properties by some modified Szasz-Mirakjan-Kantorovich operators
摘要：
本文讨论了Mishra和Yadav（Tbilisi Mathematical Journal. 11（3），（2018），175-91）。进一步，我们用有界变差的导数确定了收敛速率，并对所定义算子的定量平均建立了定量的Voronovskaya型和Gr $\ddot{\text{u}}$ ss型定理.最后，给出了一些例子，并用图形表示来支持主要结果.
英文摘要：
The present article deals with the local approximation results by means of Lipschitz maximal function, Ditzian-Totik modulus of smoothness and Lipschitz type space having two parameters for the summation-integral type operators defined by Mishra and Yadav (Tbilisi Mathematical Journal. 11(3), (2018), 175-91). Further, we determine the rate of convergence in the term of the with derivative of bounded variation and for the quantitative means of the defined operators, we establish the quantitative Voronovskaya type and Gr$\ddot{\text{u}}$ss type theorems. Moreover, the examples are given with graphical representation to support the main results.
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