Kantorovich型(p,q)-Bernstein-Schurer算子的逼近
Approximation by Kantorovich type (p,q)-Bernstein-Schurer Operators
摘要:
本文引入了(p,q)-Bernstein-Kantorovich算子基于(p,q)-整数的一种Shurer型广义化,称之为(p,q)-Bernstein-Schurer-Kantorovich算子.基于Korovkin型逼近定理,我们研究了这类算子的逼近性质,并研究了一些正定理。此外,我们还给出了算子收敛于某些函数的比较和图解。
英文摘要:
In this paper, we introduce a Shurer type genaralization of (p,q)-Bernstein-Kantorovich operators based on (p,q)-integers and we call it as (p,q)-Bernstein-Schurer Kantorovich operators. We study approximation properties for these operators based on Korovkin's type approximation theorem and also study some direct theorems. Furthermore, we give comparisons and some illustrative graphics for the convergence of operators to some function.
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