Proofs of conjectures of Elezović; and Vukšić concerning the inequalities for means

DOI10.7153/mia-2021-24-01zbMath1465.26023OpenAlexW3133556648WikidataQ113688761 ScholiaQ113688761MaRDI QIDQ4991552

Chao-Ping Chen, Xue-Feng Han

Publication date: 3 June 2021

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-2021-24-01

zbMATH Keywords

inequalityNeuman-Sándor meanoptimal convex combination

Mathematics Subject Classification ID

Means (26E60)

Cites Work

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• Best possible bounds for Neuman-Sándor mean by the identric, quadratic and contraharmonic means
• On certain inequalities for Neuman-Sándor mean
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• Bounds for the arithmetic mean in terms of the Neuman-Sándor and other bivariate means
• Optimal bounds for Neuman-Sándor mean in terms of the convex combinations of harmonic, geometric, quadratic, and contraharmonic means
• Sharp bounds for Neuman-Sándor mean in terms of the convex combination of quadratic and first Seiffert means
• Optimal inequalities between Neuman-Sándor, centroidal and harmonic means
• Asymptotic expansions and comparison of bivariate parameter means
• Asymptotic expansions of bivariate classical means and related inequalities
• Bounds for the Neuman-Sandor mean in terms of logarithmic, quadratic or contraharmonic means
• Asymptotic expansion of the arithmetic-geometric mean and related inequalities
• Neuman-Sándor mean, asymptotic expansions and related inequalities
• A note on a certain bivariate mean
• A sharp double inequality involving identric, Neuman-Sándor, and quadratic means
• Optimal bounds for Neuman-Sándor mean in terms of the convex combination of logarithmic and quadratic or contra-harmonic means
• Asymptotic inequalities and comparison of classical means
• A unified proof of inequalities and some new inequalities involving Neuman-S\'andor mean

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