q-Bernstein-Schurer-Kantorovich type operators
q-Bernstein-Schurer-Kantorovich type operators
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q-Bernstein-Schurer-Kantorovich 型算子
DOI：
10.1007/s40574-015-0034-0
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发表时间：
2015
期刊：
影响因子：
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通讯作者：
Arun Kajla
中科院分区：
文献类型：
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作者：
P. Agrawal;Meenu Goyal;Arun Kajla
本文的目的是给出由Muraru（Mathematica LVI 2：1-11，2011）引入并由Ren和Zeng（Bull Korean Math Soc 50（4）：1145-1156，2013）修改的q-Bernstein-Schurer算子的Stancu型Kantorovich修改。本文利用著名的Bohman-Korovkin准则得到了一个收敛定理，并利用连续模和Lipschitz函数得到了收敛速度的估计.建立了一个Korovkin型A-统计逼近定理。
The aim of this paper is to present a Stancu type Kantorovich modification of q-Bernstein-Schurer operators introduced by Muraru (Mathematica LVI 2:1–11, 2011) and modified by Ren and Zeng (Bull Korean Math Soc 50(4):1145–1156, 2013). Here, we obtain a convergence theorem by using the well known Bohman-Korovkin criterion and find the estimate of the rate of convergence by means of modulus of continuity and Lipschitz function for these operators. Also, we establish a Korovkin type A-statistical approximation theorem.