Computation and analysis of the asymptotic expansions of the compound means

DOI10.1016/J.AMC.2017.01.025zbMath1411.26023OpenAlexW2576891337MaRDI QIDQ1735378

Neven Elezović, Tomislav Burić

Publication date: 28 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2017.01.025

zbMATH Keywords

asymptotic expansionarithmetic-geometric meanpower meancompound mean

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Inequalities for sums, series and integrals (26D15) Means (26E60)

Cites Work

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• Asymptotic expansions of integral means and applications to the ratio of gamma functions
• Asymptotic expansion of Gaussian chaos via probabilistic approach
• Asymptotic analysis of the iterative 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 expansions of gamma and related functions, binomial coefficients, inequalities and means
• Asymptotic expansion of the arithmetic-geometric mean and related inequalities
• Asymptotic inequalities and comparison of classical means

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