论函数的最优插值

IF 0.5 Q3 MATHEMATICS

Russian Mathematics Pub Date : 2023-12-01 DOI:10.3103/s1066369x23120071

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引用次数: 0

摘要

摘要讨论了最优插值公式的构造。首先，计算了 Sobolev 空间中插值公式误差的精确上限。证明了误差最小的最优插值公式的存在性和唯一性。提出了寻找最优插值公式系数的算法。该算法使得找到最优系数成为可能。

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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On the Optimal Interpolation of Functions

Abstract

The construction of optimal interpolation formulas is discussed. First, an exact upper bound for the error of an interpolation formula in the Sobolev space is calculated. The existence and uniqueness are proved for the optimal interpolation formula with the smallest error. An algorithm for finding the coefficients of the optimal interpolation formula is presented. This algorithm makes it possible to find the optimal coefficients.

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来源期刊

Russian Mathematics MATHEMATICS-

CiteScore

0.90

自引率

25.00%

发文量

期刊介绍： Russian Mathematics is a peer reviewed periodical that encompasses the most significant research in both pure and applied mathematics.