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Abstract and Applied Analysis
Volume 2012 (2012), Article ID 830585, 11 pages
http://dx.doi.org/10.1155/2012/830585
Research Article

Inequalities between Arithmetic-Geometric, Gini, and Toader Means

Department of Mathematics, Huzhou Teachers College, Huzhou 313000, China

Received 24 August 2011; Accepted 20 October 2011

Academic Editor: Muhammad Aslam Noor

Copyright Β© 2012 Yu-Ming Chu and Miao-Kun Wang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Citations to this Article [5 citations]

The following is the list of published articles that have cited the current article.

  • Tie-Hong Zhao, Yu-Ming Chu, and Bao-Yu Liu, “Optimal Bounds for Neuman-Sándor Mean in Terms of the Convex Combinations of Harmonic, Geometric, Quadratic, and Contraharmonic Means,” Abstract and Applied Analysis, vol. 2012, pp. 1–9, 2012. View at Publisher Β· View at Google Scholar
  • Miao-Kun Wang, and Yu-Ming Chu, “Asymptotical bounds for complete elliptic integrals of the second kind,” Journal of Mathematical Analysis and Applications, vol. 402, no. 1, pp. 119–126, 2013. View at Publisher Β· View at Google Scholar
  • Wei-Dong Jiang, Yu-Ming Chu, and Dan-Dan Yan, “Optimal Bounds For Toader Mean In Terms Of Arithmetic And Contraharmonic Me Ans,” Journal of Mathematical Inequalities, vol. 7, no. 4, pp. 751–757, 2013. View at Publisher Β· View at Google Scholar
  • Wei-Dong Jiang, “Bounds for Combinations of Toader Mean and Arithmetic Mean in Terms of Centroidal Mean,” The Scientific World Journal, vol. 2013, pp. 1–4, 2013. View at Publisher Β· View at Google Scholar
  • Ying-Qing Song, Wei-Feng Xia, Xu-Hui Shen, and Yu-Ming Chu, “Bounds for the identric mean in terms of one-parameter mean,” Applied Mathematical Sciences, vol. 7, no. 85-88, pp. 4375–4386, 2013. View at Publisher Β· View at Google Scholar