某些组成算子的收敛估计

IF 1.1 Q1 MATHEMATICS Constructive Mathematical Analysis Pub Date : 2024-06-02 DOI:10.33205/cma.1474535
Vijay Gupta
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引用次数: 0

摘要

文献中有不同的方法来构造新的算子。其中一种构建算子的方法是组合法。众所周知,巴斯卡科夫算子可以通过后维德算子 $P_n$ 和 Sz\'asz-Mirakjan 算子 $S_n$ 按顺序组成来实现,这是一个离散定义的算子。但当我们考虑不同阶的组成,即 $S_n\circ P_n$ 时,我们会得到另一个不同的算子。在此,我们将对这种情况进行研究,并为组成算子 $S_n\circ P_n$ 建立一些收敛估计,以及与其他算子的差值。最后,我们通过考虑数值来发现两个组成之间的差异。
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Convergence estimates for some composition operators
There are different methods available in literature to construct a new operator. One of the methods to construct an operator is the composition method. It is known that Baskakov operators can be achieved by composition of Post Widder $P_n$ and Sz\'asz-Mirakjan $S_n$ operators in that order, which is a discretely defined operator. But when we consider different order composition namely $S_n\circ P_n$, we get another different operator. Here we study such and we establish some convergence estimates for the composition operators $S_n\circ P_n$, along with difference with other operators. Finally we found the difference between two compositions by considering numeric values.
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来源期刊
Constructive Mathematical Analysis
Constructive Mathematical Analysis Mathematics-Analysis
CiteScore
2.40
自引率
0.00%
发文量
18
审稿时长
6 weeks
期刊最新文献
Fractional Proportional Linear Control Systems: A Geometric Perspective on Controllability and Observability Convergence estimates for some composition operators Elementary proof of Funahashi's theorem Extensions of the operator Bellman and operator Holder type inequalities On some general integral formulae
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