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Optimal Bounds for Seiffert Mean in terms of One‐Parameter Means

Author

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  • Hua-Nan Hu
  • Guo-Yan Tu
  • Yu-Ming Chu

Abstract

The authors present the greatest value r1 and the least value r2 such that the double inequality Jr1(a, b) 0 with a ≠ b, where T(a, b) and Jp(a, b) denote the Seiffert and pth one‐parameter means of two positive numbers a and b, respectively.

Suggested Citation

  • Hua-Nan Hu & Guo-Yan Tu & Yu-Ming Chu, 2012. "Optimal Bounds for Seiffert Mean in terms of One‐Parameter Means," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
  • Handle: RePEc:wly:jnljam:v:2012:y:2012:i:1:n:917120
    DOI: 10.1155/2012/917120
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    References listed on IDEAS

    as
    1. Yu-Ming Chu & Miao-Kun Wang & Song-Liang Qiu & Ye-Fang Qiu, 2011. "Sharp Generalized Seiffert Mean Bounds for Toader Mean," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
    2. Yu-Ming Chu & Miao-Kun Wang & Song-Liang Qiu & Ye-Fang Qiu, 2011. "Sharp Generalized Seiffert Mean Bounds for Toader Mean," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-8, October.
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