Sharpening of Jordan’s type and Shafer–Fink’s type inequalities with exponential approximations

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摘要

In this paper, we give some exponential inequalities derived from the generalized Jordan’s inequalities (Debnath and Zhao, 2003; Zhu, 2006) and Shafer–Fink’s inequalities (Fink, 1995; Mitrinović, 1970).

论文关键词:Jordan inequality,Shafer–Fink inequality,Monotonically decreasing function,Monotonically increasing function

论文评审过程:Received 28 June 2015, Accepted 11 July 2015, Available online 8 August 2015, Version of Record 8 August 2015.

论文官网地址:https://doi.org/10.1016/j.amc.2015.07.041