Some general Wilker-Huygens inequalities

Abstract

In this paper, we provide a systematic way to study on some general Wilker-Huygens type inequalities for the trigonometric and hyperbolic functions, lemniscate and hyperbolic lemniscate functions, and their corresponding inverse functions. Our results are some extensions and refinements of the recently published results in [A. Mhanna, On a general Huygens-Wilker inequality, Appl. Math. E.-Notes, 20 (2020), 79-81; MR4076436], and improve many previous results involving Wilker-Huygens type inequalities.

Frame’s Types of Inequalities and Stratification

“…The aim of future research is to consider other classes of inequalities in a similar way, by combining different methods with the concept of stratification. In that regard, we refer the reader to papers [6,[15][16][17][18] for understanding the latest progress in the field.…”