Multivariate polynomial interpolation based on Radon projections

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-09-13 DOI:10.1007/s11075-024-01938-1

Nguyen Anh Ngoc, Nguyen Van Khiem, Tang Van Long, Phung Van Manh

引用次数: 0

Abstract

We study multivariate polynomial interpolation based on Radon projections corresponding to the intersection of hyperplanes and the coordinate axes of \(\mathbb {R}^n\). We give a characterization of these hyperplanes which determine an interpolation polynomial uniquely. We also establish conditions such that the interpolation projectors based on Radon projections converge to the Taylor projector.

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基于拉顿投影的多变量多项式插值法

我们基于超平面与 \mathbb {R}^n\ 的坐标轴交点对应的 Radon 投影研究多变量多项式插值。我们给出了这些超平面的特征，它们唯一地决定了插值多项式。我们还建立了基于 Radon 投影的插值投影收敛于泰勒投影的条件。

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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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.