Extensions of the natural approach to refinements and generalizations of some trigonometric inequalities

Abstract

In this paper we propose a new method for sharpening and refinements of some trigonometric inequalities. We apply these ideas to some inequalities of Wilker-Cusa-Huygens's type.

References in corpus (3)

• A Method of Proving a Class of Inequalities of Mixed Trigonometric Polynomial Functions
• The natural algorithmic approach of mixed trigonometric-polynomial problems
• Refined estimates and generalizations of inequalities related to the arctangent function and Shafer's inequality

Cited by in corpus (5)

• Sharpening and Generalizations of Shafer-Fink and Wilker Type Inequalities: a New Approach
• One method for proving some classes of exponential analytic inequalities
• About some exponential inequalities related to the sinc function
• New Refinements of Cusa-Huygens inequality
• Some improvements of Jordan-Steckin and Becker-Stark inequalities