Sharp bounds for Toader mean in terms of arithmetic and second contraharmonic means

DOI10.1155/2015/452823zbMath1326.26055OpenAlexW1837850567WikidataQ59112824 ScholiaQ59112824MaRDI QIDQ886946

Ying-Qing Song, Wei-Mao Qian, Yu-Ming Chu, Xiao-Hui Zhang

Publication date: 27 October 2015

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/452823

Mathematics Subject Classification ID

Means (26E60)

Related Items (3)

Optimal convex combination bounds of geometric and Neuman means for Toader-type mean ⋮ Sharp bounds for a special quasi-arithmetic mean in terms of arithmetic and geometric means with two parameters ⋮ On approximating the Toader mean by other bivariate means

Cites Work

• Some inequalities for bounding Toader mean
• Sharp generalized Seiffert mean bounds for Toader mean
• Inequalities between arithmetic-geometric, Gini, and Toader means
• Monotonicity theorems and inequalities for the complete elliptic integrals
• Some mean values related to the arithmetic-geometric mean
• Bounds for symmetric elliptic integrals.
• Optimal Lehmer mean bounds for the Toader mean
• A double inequality for bounding Toader mean by the centroidal mean
• Inequalities and bounds for elliptic integrals
• Optimal bounds for Toader mean in terms of arithmetic and contraharmonic means
• The best bounds for Toader mean in terms of the centroidal and arithmetic means
• An Inequality Involving the Generalized Hypergeometric Function and the Arc Length of an Ellipse
• Sharp bounds for Toader mean in terms of contraharmonic mean with applications
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