Sharp power-type Heronian mean bounds for the Sándor and Yang means

DOI10.1186/s13660-015-0683-7zbMath1372.26032OpenAlexW2117888238WikidataQ59435251 ScholiaQ59435251MaRDI QIDQ2405782

Xiao-Hui Zhang, Wei-Mao Qian, Shuang-Shuang Zhou, Yu-Ming Chu

Publication date: 26 September 2017

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

Full work available at URL: https://doi.org/10.1186/s13660-015-0683-7

zbMATH Keywords

Yang meanSándor meanpower-type Heronian mean

Mathematics Subject Classification ID

Means (26E60)

Related Items (10)

Sharp bounds for Sándor mean in terms of arithmetic, geometric and harmonic means ⋮ Index of a bivariate mean and applications ⋮ On some inequalities involving three or more means ⋮ Sharp power-type Heronian and Lehmer means inequalities for the complete elliptic integrals ⋮ Sharp one-parameter mean bounds for Yang mean ⋮ Best possible bounds for Yang mean using generalized logarithmic mean ⋮ ON TWO NEW MEANS OF TWO ARGUMENTS III ⋮ On certain new means generated by generalized trigonometric functions ⋮ Sharp power mean bounds for two Sándor-Yang means ⋮ Optimal bounds for the Sándor mean in terms of the combination of geometric and arithmetic means

Cites Work

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• Optimal power mean bounds for Yang mean
• A note on some inequalities for means
• An optimal double inequality between power-type Heron and Seiffert means
• A sharp double inequality for trigonometric functions and its applications
• Three families of two-parameter means constructed by trigonometric functions
• Sharp power mean bounds for Sándor mean
• Two sharp inequalities for trigonometric and hyperbolic functions

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