论文标题

一项关于总和类型运算符的研究

A study on summation-integral type operators

论文作者

Yadav, Rishikesh, Meher, Ramakanta, Mishra, Vishnu Narayan

论文摘要

在本文中,我们研究了Mishra等人所定义的求和 - 综合类型运算符的近似特性。 (Boll。UnioneMat。Ital。(2016)8:297-305)并确定局部结果并证明已定义的运营商的收敛定理。此外,还讨论了voronovskaja型定理的定量手段,以检查操作员的渐近行为并获得渐近公式的渐近公式。最后,给出图形表示以支持操作员的近似结果。

In this paper, we investigate the approximation properties of the summation-integral type operators as defined by Mishra et al. (Boll. Unione Mat. Ital. (2016) 8:297-305) and determine the local results as well as prove the convergence theorem of the defined operators. Further, check the asymptotic behavior of the operators and obtain the asymptotic formula for the operators, moreover, the quantitative means of Voronovskaja type theorem is also discussed for an upper bound of the pointwise convergent, as well as obtain the Gruss Voronovskaya-type theorem. Finally, the graphical representation is given to support the approximation results of the operators.

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