Jordan type inequalities for hyperbolic functions and their applications
Summary: We present the best possible parameters \(p, q \in (0,\infty)\) such that the double inequality \((1/3p^2)\cosh (px)+1-1/3p^2<\sinh (x)/x<(1/3q^2)\cosh (qx)\;+ 1 - 1/3q^2\) holds for all \(x\in(0,\infty)\). As applications, some new inequalities for certain special function and bivariate means are found.
scientific article; zbMATH DE number 6474203
scientific article