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General Summability Methods in the Approximation by Bernstein–Chlodovsky Operators
Numerical Functional Analysis and Optimization ( IF 1.4 ) Pub Date : 2021-04-01 , DOI: 10.1080/01630563.2021.1895831 Meryem Ece Alemdar 1 , Oktay Duman 1
中文翻译:
Bernstein-Chlodovsky 算子近似中的一般可和性方法
更新日期:2021-05-31
Numerical Functional Analysis and Optimization ( IF 1.4 ) Pub Date : 2021-04-01 , DOI: 10.1080/01630563.2021.1895831 Meryem Ece Alemdar 1 , Oktay Duman 1
Affiliation
Abstract
In this paper, by using regular summability methods we modify the Bernstein–Chlodovsky operators in order get more general and powerful results than the classical aspects. We study Korovkin-type approximation theory on weighted spaces. As a special case, it is possible to Cesàro approximate (arithmetic mean convergence) to the test function although it fails for the classical Bernstein–Chlodovsky operators. At the end of the paper, we extend our results to the multi-dimensional case.
中文翻译:
Bernstein-Chlodovsky 算子近似中的一般可和性方法
摘要
在本文中,通过使用常规可和性方法,我们修改了 Bernstein-Chlodovsky 算子,以获得比经典方面更通用和更强大的结果。我们研究加权空间上的 Korovkin 型逼近理论。作为一种特殊情况,可以将 Cesàro 逼近(算术平均收敛)到测试函数尽管它对于经典的 Bernstein-Chlodovsky 算子失败了。在论文的最后,我们将结果扩展到多维情况。