The relationship between Huygens’ and Wilker’s inequalities and further remarks
Chao-Ping Chen, Cristinel Mortici
Abstract
The first aim of this paper is to show how the Huygens? and Wilker?s inequalities are related. In this sense, we establish and prove a class of inequalities depending on a parameter n, where Huygens? and Wilker?s inequalities are obtained when n = 1 and n = 2, respectively. By exploiting the above idea, we introduce other classes of inequalities depending on a parameter, extending an inequality of Wilker type and also the classical Cusa inequality. Finally, some open problems are posed.
Topics & Concepts
MathematicsInequalityClass (philosophy)Pure mathematicsType (biology)Calculus (dental)Applied mathematicsMathematical analysisMathematical economicsEpistemologyBiologyDentistryMedicinePhilosophyEcologyMathematical Inequalities and Applications