A Sharp double inequality involving trigonometric functions and its applications
A Sharp double inequality involving trigonometric functions and its applications
We present the best possible parameters p,q ∈ (0,1] such that the double inequalityx < 1 3q 2 cos(qx) + 1 -1 3q 2 holds for all x ∈ (0,π/2) .As applications, some new inequalities for the sine integral, Catalan constant and Schwab-Borchardt mean are found.