Asymptotic analysis of the iterative power means

DOI10.1016/J.JMAA.2015.08.020zbMath1329.26052OpenAlexW1166514448MaRDI QIDQ497784

Tomislav Burić

Publication date: 25 September 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.08.020

zbMATH Keywords

asymptotic expansionarithmetic-geometric meanpower meancompound mean

Mathematics Subject Classification ID

Means (26E60) Approximation to limiting values (summation of series, etc.) (40A25)

Related Items (1)

Computation and analysis of the asymptotic expansions of the compound means

Cites Work

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• Asymptotic expansions of integral means and applications to the ratio of gamma functions
• A complete asymptotic expansion of power means
• Asymptotic expansions and comparison of bivariate parameter means
• Asymptotic expansions of bivariate classical means and related inequalities
• Asymptotic formulae associated with the Wallis power function and digamma function
• Asymptotic expansion of the arithmetic-geometric mean and related inequalities
• Asymptotic inequalities and comparison of classical means

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