关于Stancu型q-Bernstein-Schurer-Kantorovich算子的逼近
On approximation by Stancu type q-Bernstein-Schurer-Kantorovich operators
摘要：
本文引入了q-Bernstein-Schurer-Kantorovich算子的Stancu型推广，并研究了它们的逼近性质.我们调查的收敛性，我们的运营商的帮助下Korovkin的逼近定理，并检查这些运营商的收敛性的Lipschitz类的功能。我们还调查了这些运营商通过统计Korovkin的逼近定理的逼近过程。此外，我们提出了一些直接定理，这些运营商。最后，我们介绍了这些算子的二元模拟，并研究了二元情况下的一些结果。
英文摘要：
In this paper we introduce the Stancu type generalization of the q-Bernstein-Schurer-Kantorovich operators and examine their approximation properties. We investigate the convergence of our operators with the help of the Korovkin's approximation theorem and examine the convergence of these operators in the Lipschitz class of functions. We also investigate the approximation process for these operators through the statistical Korovkin's approximation theorem. Also, we present some direct theorems for these operators. Finally we introduce the bivariate analogue of these operators and study some results for the bivariate case.
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