Best Possible Bounds for Yang Mean Using Generalized Logarithmic Mean

Wei-Mao Qian and Yu-Ming Chu

Mathematical Problems in Engineering, 2016, vol. 2016, 1-7

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.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:8901258

DOI: 10.1155/2016/8901258

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