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On approximation of Bernstein-Durrmeyer operators in movable interval

Fengfeng Wang, Dansheng Yu, Bin Zhang

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Source: Crossref

Published: Jan 1, 2022

DOI: 10.3934/mfc.2022008

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Source abstract

<p style='text-indent:20px;'>In the present paper, we introduce a new type of Bernstein-Durrmeyer operators preserving linear functions in movable interval. The approximation rate of the new operators for continuous functions and Voronovskaja's asymptotic estimate are obtained.</p>

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On approximation of Bernstein-Durrmeyer operators in movable interval — Mathematical Frontier Network