Hermite interpolation of type total degree associated with certain spaces of polynomials

IF 0.9 3区数学 Q2 MATHEMATICS

Mathematica Slovaca Pub Date : 2024-05-28 DOI:10.1515/ms-2024-0009

Le Ngoc Cuong, Ta Thi Thanh Mai, Phung Van Manh

引用次数: 0

Abstract

We study Hermite interpolation for the space of polynomials of total degree in ℝ N and the space of homogeneous polynomials in ℝ N+1. We investigate the relations between the two types of Hermite interpolation. We show that they have the same regularity and continuity property.

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与某些多项式空间相关的总程度类型的赫米特插值法

我们研究了 ℝ N 中总阶数多项式空间和 ℝ N+1 中同质多项式空间的赫米特插值法。我们研究了这两种赫米特插值法之间的关系。我们证明它们具有相同的正则性和连续性。

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

Mathematica Slovaca 数学-数学

CiteScore

2.10

自引率

6.20%

发文量

审稿时长

6-12 weeks

期刊介绍： Mathematica Slovaca, the oldest and best mathematical journal in Slovakia, was founded in 1951 at the Mathematical Institute of the Slovak Academy of Science, Bratislava. It covers practically all mathematical areas. As a respectful international mathematical journal, it publishes only highly nontrivial original articles with complete proofs by assuring a high quality reviewing process. Its reputation was approved by many outstanding mathematicians who already contributed to Math. Slovaca. It makes bridges among mathematics, physics, soft computing, cryptography, biology, economy, measuring, etc.　 The Journal publishes original articles with complete proofs. Besides short notes the journal publishes also surveys as well as some issues are focusing on a theme of current interest.