论涉及 Tricomi 函数的近似算子

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-08-05 DOI:10.1007/s40840-024-01750-z

Nusrat Raza, Manoj Kumar, M. Mursaleen

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引用次数: 0

摘要

本研究文章的主要目的是利用科洛夫金定理和基于连续性模量的传统方法，介绍并研究一种涉及特里科米函数的近似算子。在 Lipschitz 型空间中，我们证明了收敛速率，并确定了算子的收敛特性。此外，我们还利用各种图形和数值实例的误差估计表来说明我们提出的算子的收敛性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

On Approximation Operators Involving Tricomi Function

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On Approximation Operators Involving Tricomi Function

The primary objective of this research article is to introduce and study an approximation operator involving the Tricomi function by using Korovkin’s theorem and a conventional method based on the modulus of continuity. In Lipschitz-type spaces, we demonstrate the rate of convergence, and we are also able to determine the convergence properties of our operators. In addition, we illustrate the convergence of our proposed operators using various graphs and error-estimating tables for numerical instances.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.