某些组成算子的收敛估计

IF 1.1 Q1 MATHEMATICS
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。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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
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