On classical inequalities of trigonometric and hyperbolic functions

摘要

This article is the collection of the six research papers, recently writtenby the authors. In these papers authors refine the inequalities oftrigonometric and hyperbolic functions such as Adamovic-Mitrinovic inequality,Cusa-Huygens inequality, Lazarevic inequality, Huygens inequality, Jordan'sinequality, Carlson's inequality, Wilker's inequality, Redheffer's inequality,Wilker-Anglesio inequality, Becker-Stark inequality, Kober's inequality,Shafer's inequality and Shafer-Fink's inequality. The relation betweentrigonometric and hyperbolic functions has been built too. In the last paper,the sharp upper and lower bounds for the classical beta function has beenestablished by studying the Jordan's inequality.