Padé approximants for inverse trigonometric functions and their applications

Abstract

Abstract The Padé approximation is a useful method for creating new inequalities and improving certain inequalities. In this paper we use the Padé approximant to give the refinements of some remarkable inequalities involving inverse trigonometric functions, it is shown that the new inequalities presented in this paper are more refined than that obtained in earlier papers.

Keywords

• Padé approximant
• inverse trigonometric functions
• inequalities
• refinement