Unification and refinements of Jordan, Adamovi\'c-Mitrinovi\'cand and Cusa's inequalities
Abstract
In this paper, we find some new sharp bounds for ( x) /x, which unify and refine Jordan, Adamovi\'c-Mitrinovi\'cand 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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