半指数Szász-Mirakyan-Kantorovich算子的近似性质

IF 0.8 4区数学 Q2 MATHEMATICS

Filomat Pub Date : 2023-01-01 DOI:10.2298/fil2304097a

Gunjan Agrawal, Vijay Gupta

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引用次数: 0

摘要

在本文中，我们讨论了半指数Sz?sz-Mirakyan-Kantorovich运营商。这里，我们建立了半指数Sz?sz-Mirakyan算子及其Kantorovich变体。进一步，我们提出了对Kantorovich变式的修正，以保留检验函数eAx和e2Ax，并得到了voronovskaya型结果。

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Approximation properties of semi-exponential Szász-Mirakyan-Kantorovich operators

In the present paper, we deal with the approximation properties of semi-exponential Sz?sz-Mirakyan-Kantorovich operators. Here, we establish the relation between semi-exponential Sz?sz-Mirakyan operators and its Kantorovich variant. Further, we propose the modification of the Kantorovich variant so as to preserve the test functions eAx and e2Ax and we derive the Voronovskaya-type result.

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