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We present the best possible parameters p, q∈0,∞ such that the double inequality 1/3p2cosh(px)+1-1/3p2<sinh(x)/x<1/3q2cosh(qx) + 1 - 1/3q2 holds for all x∈0,∞. As applications, some new inequalities for certain special function and bivariate means are found

Jordan Type Inequalities for Hyperbolic Functions and Their Applications