关于保持指数函数的标准型后广义算子的逼近性质

Gülten Torun
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引用次数: 0

摘要

在本文中,介绍了standu类型Post-Widder操作符,它是Post-Widder操作符的一种修改,用于在固定a>0时保持函数常数和e^2ax。研究了这些修正算子对函数f在[0,∞)上的一致收敛性,并利用连续性模研究了收敛速度。得到了Voronovskaja型渐近公式来检验这些算子的渐近性。最后,用数值算例和图说明了Stancu型Post- Widder算子的收敛性,并与Post- Widder算子进行了比较。
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On Approximation Properties of Stancu Type Post-Widder Operators Preserving Exponential Functions
In this article, Stancu type Post-Widder operators are introduced, which are a modification of the Post-Widder operators that preserve the functions constant and e^2ax for fixed a>0. The uniform convergence of these modified operators for the function f on [0,∞) is examined and then the convergence rate is investigated with the help of the continuity module. The Voronovskaja type asymptotic formula is obtained to examine the asymptotic behavior of these operators. Finally, numerical examples and graphs are given to show the convergence of Stancu type Post- Widder operators and compared with Post Widder operators.
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