Identities for the difference between the arithmetic and geometric means

Kazumasa Fujiwara; Tohru Ozawa

doi:10.12988/ijma.2014.46170

Identities for the difference between the arithmetic and geometric means

Kazumasa Fujiwara, Tohru Ozawa

先進理工学部

研究成果: Article › 査読

1 被引用数 (Scopus)

抄録

We prove a formula which expresses the difference between the arithmetic mean of variables of odd numbers and the corresponding geometric mean in the form of a linear combination of independent variables with coefficients given by sums of squares of polynomials.

本文言語	English
ページ（範囲）	1525-1542
ページ数	18
ジャーナル	International Journal of Mathematical Analysis
巻	8
号	29-32
DOI	https://doi.org/10.12988/ijma.2014.46170
出版ステータス	Published - 2014

ASJC Scopus subject areas

Mathematics(all)

文献へのアクセス

10.12988/ijma.2014.46170

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引用スタイル

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keywords = "Arithmetic mean, Geometric mean, Hurwitz' identity, Muirhead's identity",

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