A Method of Proving a Class of Inequalities of Mixed Trigonometric Polynomial Functions

Abstract

In this article we consider a method of proving a class of inequalities of the form (1). The method is based on the precise approximations of the sine and cosine functions by Maclaurin polynomials of given order. By using this method we present new proofs of some inequalities from the articles C.-P. Chen, W.-S. Cheung [J. Inequal. Appl. 2012:72 (2012)] and Z.-J. Sun, L. Zhu [ISRN Math. Anal. (2011)].

References in corpus (2)

• A proof of two conjectures of Chao-Ping Chen for inverse trigonometric functions
• New sharp Jordan type inequalities and their applications

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