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arXiv · 1304.3180

Unification and refinements of Jordan, Adamović-Mitrinovićand and Cusa's inequalities

Zhen-Hang Yang
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Abstract

In this paper, we find some new sharp bounds for $\left(\sin x\right) /x$, which unify and refine Jordan, Adamović-Mitrinovićand and Cusa's inequalities. As applications of main results, some new Shafer-Fink type inequalities for arc sine function and ones for certain bivariate means are established, and a simpler but more accurate estimate for sine integral is derived.

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Zhen-Hang Yang. 2013-04-11. Unification and refinements of Jordan, Adamović-Mitrinovićand and Cusa's inequalities. https://arxiv.org/abs/1304.3180

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