An approach to preserve functions with exponential growth by using modified Lupaş-Kantrovich operators

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-10-10 DOI:10.1080/01630563.2023.2263977

Neha Kajla, Naokant Deo

引用次数: 0

Abstract

AbstractAs part of this study, we propose a modification of the so-known Lupaş-Kantrovich that preserve exponential function e−x. To support this claim, we estimate the convergence rate of the operators in terms of both the usual and exponential modulus of continuity. Our analysis also includes a global estimate and quantitative Voronovskaya results. Demonstrating the effectiveness of modified operators, we provided a result and supporting graphs.KEYWORDS: Exponential functionsrate of convergenceVoronovoskaya theoremMATHEMATICS SUBJECT CLASSIFICATION: 41A2541A36 Disclosure statementThis work has no conflicts of interest.Additional informationFundingCSIR is funding this research with Reference No:08/133(0021)/2018-EMR-1 for the first author.

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利用修正lupa - kantrovich算子保持指数增长函数的方法

摘要作为本研究的一部分，我们提出了对已知的lupa - kantrovich的修正，该修正保留了指数函数e - x。为了支持这一说法，我们估计了算子的收敛速度在通常和指数模的连续性。我们的分析还包括全球估计和定量Voronovskaya结果。为了证明修正算子的有效性，我们给出了一个结果和支持图。关键词:指数函数收敛率evoronovoskaya定理数学学科分类:41A2541A36披露声明本工作无利益冲突。csir资助本研究，第一作者参考文献号:08/133(0021)/2018-EMR-1。

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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.