Approximation by Durrmeyer variant of Cheney-Sharma Chlodovsky operators

IF 1.3 Q3 COMPUTER SCIENCE, THEORY & METHODS Mathematical foundations of computing Pub Date : 2023-01-01 DOI:10.3934/mfc.2022034
Chandra Prakash, D. K. Verma, N. Deo
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Abstract

In this paper, we are dealing with Cheney-Sharma Chlodovsky Durrmeyer operators and studying their approximation properties. The Bohman-Korovkin theorem is verified and estimated the convergence properties using of modulus of continuity, Lipschitz- type space, and Ditzian-Totik modulus of continuity. After that, the weighted approximation result is also given. Finally, some results related to the A-statistical convergence of the operators are obtained.
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Cheney-Sharma Chlodovsky算子的Durrmeyer变式逼近
在本文中,我们处理了Cheney-Sharma Chlodovsky Durrmeyer算子并研究了它们的逼近性质。利用连续模、Lipschitz- type空间和Ditzian-Totik连续模验证了Bohman-Korovkin定理,并估计了其收敛性。然后给出了加权近似结果。最后,得到了算子的a统计收敛性的一些结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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1.50
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0.00%
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