关于保检验函数x^r的后Widder算子的一些结果

IF 1 Q1 MATHEMATICS Kragujevac Journal of Mathematics Pub Date : 2022-02-01 DOI:10.46793/kgjmat2201.149g

Vijay Gupta, G. Tachev

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引用次数: 5

摘要

在本文中，我们考虑了Post Widder算子及其修正形式，它保留了测试函数xr，r∈ℕ. 我们根据修正算子的连续模来估计直接结果。此外，还考虑了多项式有界函数和线性组合的一些估计。我们的估计在某种意义上改进了之前对原始Post Widder算子的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Some Results on Post-Widder Operators Preserving Test Function x^r

In the present paper, we consider Post-Widder operators and its modiﬁed form which preserve the test function xr, r ∈ ℕ. We estimate direct results in terms of modulus of continuity for the modiﬁed operators. Also, some estimates for polynomially bounded functions and linear combinations are considered. Our estimates improve in some sense the previous results for the original Post-Widder operators.

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