Asymptotic expansions of the Archimedean compounds

IF 0.9 3区数学 Q2 MATHEMATICS

Aequationes Mathematicae Pub Date : 2024-07-01 DOI:10.1007/s00010-024-01102-z

Tomislav Burić, Neven Elezović, Lenka Mihoković

引用次数: 0

Abstract

In this paper we present a complete asymptotic expansion of the Archimedean compound of two symmetric homogeneous means and derive recursive algorithms for coefficients in this expansion. We also show some examples and obtain explicit expansions for the Archimedean compounds of the arithmetic, geometric and harmonic means.

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阿基米德化合物的渐近展开

在本文中，我们提出了两个对称均等均值的阿基米德复数的完整渐近展开式，并推导出该展开式中系数的递推算法。我们还举例说明了算术均值、几何均值和谐波均值的阿基米德复数，并获得了明确的展开式。

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

Aequationes Mathematicae MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.70

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： aequationes mathematicae is an international journal of pure and applied mathematics, which emphasizes functional equations, dynamical systems, iteration theory, combinatorics, and geometry. The journal publishes research papers, reports of meetings, and bibliographies. High quality survey articles are an especially welcome feature. In addition, summaries of recent developments and research in the field are published rapidly.