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Best Possible Bounds for Yang Mean Using Generalized Logarithmic Mean

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  • Wei-Mao Qian
  • Yu-Ming Chu

Abstract

We prove that the double inequality holds for all with if and only if and and find several sharp inequalities involving the trigonometric, hyperbolic, and inverse trigonometric functions, where is the unique solution of the equation on the interval , , and , and are the Yang, and th generalized logarithmic means of and , respectively.

Suggested Citation

  • Wei-Mao Qian & Yu-Ming Chu, 2016. "Best Possible Bounds for Yang Mean Using Generalized Logarithmic Mean," Mathematical Problems in Engineering, Hindawi, vol. 2016, pages 1-7, April.
    • Handle: RePEc:hin:jnlmpe:8901258
    DOI: 10.1155/2016/8901258
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