用standu型jakimovski-leviatan-paltanea算子逼近

IF 0.3 Q4 MATHEMATICS, APPLIED TWMS Journal of Applied and Engineering Mathematics Pub Date : 2019-04-01 DOI:10.26837/JAEM.556533

Alok Kumar, Vandana Rai

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引用次数: 1

摘要

本文讨论了求和积分型算子的一般族。在这里，我们引入了Jakimovski-LevitanPåltånea算子的Stancu型推广，并利用Lipschitz型极大函数研究了Voronovskaja型渐近定理、局部逼近、加权逼近、收敛速度和逐点估计。此外，我们还提出了对这些算子的king型修改，以获得更好的估计。

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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APPROXIMATION BY STANCU TYPE JAKIMOVSKI-LEVIATAN-PALTANEA OPERATORS

The present article deals with the general family of summation-integral type operators. Here, we introduce the Stancu type generalization of the Jakimovski-LeviatanPǎltǎnea operators and study Voronovskaja-type asymptotic theorem, local approximation, weighted approximation, rate of convergence and pointwise estimates using the Lipschitz type maximal function. Also, we propose a king type modification of these operators to obtain better estimates.

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