基于Gould Hopper多项式的Szász-Durrmeyer类型修正

IF 1.3 Q3 COMPUTER SCIENCE, THEORY & METHODS
Karunesh Singh, P. Agrawal
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引用次数: 1

摘要

在本文中,我们研究了用Gould-Hopper多项式对Szász算子的推广。首先,我们用连续性的一阶模和二阶模得到了这些算子收敛速率的误差估计。然后,我们导出了这些算子的voronovkaya型定理。最后,导出了定量形式的gr ss- voronovskaya型逼近定理和gr ss- voronovskaya型渐近结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
On Szász-Durrmeyer type modification using Gould Hopper polynomials
In the present article, we study a generalization of Szász operators by Gould-Hopper polynomials. First, we obtain an estimate of error of the rate of convergence by these operators in terms of first order and second order moduli of continuity. Then, we derive a Voronovkaya-type theorem for these operators. Lastly, we derive Grüss-Voronovskaya type approximation theorem and Grüss-Voronovskaya type asymptotic result in quantitative form.
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CiteScore
1.50
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