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

1 引用（Scopus）

抜粋

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.

元の言語	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
発行部数	29-32
DOI	https://doi.org/10.12988/ijma.2014.46170
出版物ステータス	Published - 2014 1 1

ASJC Scopus subject areas

Mathematics(all)

文献にアクセス

10.12988/ijma.2014.46170

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これを引用

Fujiwara, K., & Ozawa, T. (2014). Identities for the difference between the arithmetic and geometric means. International Journal of Mathematical Analysis, 8(29-32), 1525-1542. https://doi.org/10.12988/ijma.2014.46170

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abstract = "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.",

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

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KW - Geometric mean

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KW - Muirhead's identity

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