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Optimal Inequalities among Various Means of Two Arguments

Author

Listed:
  • Ming-yu Shi
  • Yu-ming Chu
  • Yue-ping Jiang

Abstract

We establish two optimal inequalities among power mean , arithmetic mean , logarithmic mean , and geometric mean .

Suggested Citation

  • Ming-yu Shi & Yu-ming Chu & Yue-ping Jiang, 2009. "Optimal Inequalities among Various Means of Two Arguments," Abstract and Applied Analysis, Hindawi, vol. 2009, pages 1-10, November.
    • Handle: RePEc:hin:jnlaaa:694394
    DOI: 10.1155/2009/694394
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    Cited by:

    1. Wei-Mao Qian & Zhong-Hua Shen, 2012. "Inequalities between Power Means and Convex Combinations of the Harmonic and Logarithmic Means," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    2. Hongya Gao & Jianling Guo & Wanguo Yu, 2011. "Sharp Bounds for Power Mean in Terms of Generalized Heronian Mean," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
    3. Yong-Min Li & Bo-Yong Long & Yu-Ming Chu & Wei-Ming Gong, 2012. "Optimal Inequalities for Power Means," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    4. Yu-Ming Chu & Ye-Fang Qiu & Miao-Kun Wang, 2010. "Sharp Power Mean Bounds for the Combination of Seiffert and Geometric Means," Abstract and Applied Analysis, John Wiley & Sons, vol. 2010(1).
    5. Wei-Feng Xia & Yu-Ming Chu & Gen-Di Wang, 2010. "The Optimal Upper and Lower Power Mean Bounds for a Convex Combination of the Arithmetic and Logarithmic Means," Abstract and Applied Analysis, John Wiley & Sons, vol. 2010(1).
    6. Yong-Min Li & Bo-Yong Long & Yu-Ming Chu, 2012. "A Best Possible Double Inequality for Power Mean," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).

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