New approach to the Huygens, Wilker, Cusa and Mitrinović–Adamović type inequalities
Bulletin Polish Acad. Sci. Math.
MSC: Primary 26D05; Secondary 97I20
DOI: 10.4064/ba250521-13-7
Published online: 21 July 2025
Abstract
We show how the Huygens, Cusa, Wilker and Mitrinović–Adamović inequalities and their counterparts involving hyperbolic, inverse trigonometric and inverse hyperbolic functions can be deduced from elementary properties of convex functions and an elementary integral inequality.
