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Bounds of the Neuman‐Sándor Mean Using Power and Identric Means

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  • Yu-Ming Chu
  • Bo-Yong Long

Abstract

In this paper we find the best possible lower power mean bounds for the Neuman‐Sándor mean and present the sharp bounds for the ratio of the Neuman‐Sándor and identric means.

Suggested Citation

  • Yu-Ming Chu & Bo-Yong Long, 2013. "Bounds of the Neuman‐Sándor Mean Using Power and Identric Means," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:832591
    DOI: 10.1155/2013/832591
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    References listed on IDEAS

    as
    1. Yu-Ming Chu & Miao-Kun Wang & Zi-Kui Wang, 2011. "A Sharp Double Inequality between Harmonic and Identric Means," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
    2. 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, Hindawi, vol. 2010, pages 1-12, September.
    3. Yu-Ming Chu & Miao-Kun Wang & Zi-Kui Wang, 2011. "A Sharp Double Inequality between Harmonic and Identric Means," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-7, October.
    4. Tie-Hong Zhao & Yu-Ming Chu & Bao-Yu Liu, 2012. "Optimal Bounds for Neuman-Sándor Mean in Terms of the Convex Combinations of Harmonic, Geometric, Quadratic, and Contraharmonic Means," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-9, December.
    5. 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).
    6. Tie-Hong Zhao & Yu-Ming Chu & Bao-Yu Liu, 2012. "Optimal Bounds for Neuman‐Sándor Mean in Terms of the Convex Combinations of Harmonic, Geometric, Quadratic, and Contraharmonic Means," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    7. József Sándor & Tiberiu Trif, 2001. "Some new inequalities for means of two arguments," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 25, pages 1-8, January.
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    Cited by:

    1. Yu-Ming Chu & Zhen-Hang Yang & Li-Min Wu, 2015. "Sharp Power Mean Bounds for Sándor Mean," Abstract and Applied Analysis, John Wiley & Sons, vol. 2015(1).
    2. Zai-Yin He & Yu-Ming Chu & Miao-Kun Wang, 2013. "Optimal Bounds for Neuman Means in Terms of Harmonic and Contraharmonic Means," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    3. Tie-Hong Zhao & Yu-Ming Chu & Yun-Liang Jiang & Yong-Min Li, 2013. "Best Possible Bounds for Neuman‐Sándor Mean by the Identric, Quadratic and Contraharmonic Means," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    4. Yu-Ming Chu & Wei-Mao Qian, 2014. "Refinements of Bounds for Neuman Means," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).

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