半指数后维德算子近似法

Q2 Mathematics

Annali dell''Universita di Ferrara Pub Date : 2024-05-08 DOI:10.1007/s11565-024-00517-5

Brijesh Kumar Grewal, Meenu Rani

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引用次数: 0

摘要

本文主要研究与二次多项式相关的半指数后维德算子的近似性质。我们用连续性模数求出了这些算子对连续和有界函数的收敛率。我们证明了多项式加权空间中的 Voronovskaya 型近似定理。此外，我们还获得了对 Lipschitz 型函数空间的一些直接估计。

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 semi-exponential Post-Widder operators

This research article focuses on the approximation properties of semi-exponential Post-Widder operators associated with a quadratic polynomial. We obtain the rate of convergence of these operators for continuous and bounded functions in terms of the modulus of continuity. We prove Voronovskaya-type approximation theorems in polynomial weighted spaces. Furthermore, some direct estimates are also obtained for Lipschitz-type function space.

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来源期刊

Annali dell''Universita di Ferrara Mathematics-Mathematics (all)

CiteScore

1.70

自引率

0.00%

发文量

期刊介绍： Annali dell''Università di Ferrara is a general mathematical journal publishing high quality papers in all aspects of pure and applied mathematics. After a quick preliminary examination, potentially acceptable contributions will be judged by appropriate international referees. Original research papers are preferred, but well-written surveys on important subjects are also welcome.