Accurate approximations of some expressions involving trigonometric functions

Abstract

The aim of this paper is to apply an original computation method due to Malesevic and Makragic [5] to the problem of approximating some trigonometric functions. Inequalities of Wilker-Cusa-Huygens are discussed, but the method can be successfully applied to a wide class of problems. In particular, we improve the estimates recently obtained by Mortici [1] and moreover we show that they hold true also on some extended intervals.

References in corpus (3)

• A Method of Proving a Class of Inequalities of Mixed Trigonometric Polynomial Functions
• Some notes on a method for proving inequalities by computer
• A proof of two conjectures of Chao-Ping Chen for inverse trigonometric functions

Cited by in corpus (4)

• The natural algorithmic approach of mixed trigonometric-polynomial problems
• A proof of an open problem of Yusuke Nishizawa for a power-exponential function
• Sharpening and Generalizations of Shafer-Fink and Wilker Type Inequalities: a New Approach
• One method for proving some classes of exponential analytic inequalities