Wilker and Huygens type inequalities for mixed trigonometric-hyperbolic functions

Y. J. Bagul, B. A. Bhayo, R. M. Dhaigude, V. M. Raut

In this paper we establish a new Wilker type and Huygens type inequalities involving the trigonometric and hyperbolic functions. Moreover, in terms of hyperbolic functions, the upper and lower bounds of sin(x)/x and tan(x)/x are given.

Tbilisi Mathematical Journal, Vol. 14(2) (2021), pp. 207-220