Identities for the difference between the arithmetic and geometric means

Kazumasa Fujiwara, Tohru Ozawa

Research output: Contribution to journalArticle

1 Citation (Scopus)


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.

Original languageEnglish
Pages (from-to)1525-1542
Number of pages18
JournalInternational Journal of Mathematical Analysis
Issue number29-32
Publication statusPublished - 2014 Jan 1



  • Arithmetic mean
  • Geometric mean
  • Hurwitz' identity
  • Muirhead's identity

ASJC Scopus subject areas

  • Mathematics(all)

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