Zhen-Hang Yang
Published 2013-04-11Version 1
In this paper, we find some new sharp bounds for $\left(\sin x\right) /x$, which unify and refine Jordan, Adamovi\'{c}-Mitrinovi\'{c}and 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.
Concise sharpening and generalizations of Shafer's inequality for the arc sine function
Sharpening and generalizations of Shafer-Fink's double inequality for the arc sine function
Refinements of Mitrinović-Cusa inequality
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