A proof of two conjectures of Chao-Ping Chen for inverse trigonometric functions

Abstract

In this paper we prove two conjectures stated by Chao-Ping Chen in [Int. Trans. Spec. Funct. 23:12 (2012), 865--873], using a method for proving inequalities of mixed trigonometric polynomial functions.

References in corpus (1)

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

Cited by in corpus (7)

• A Method of Proving a Class of Inequalities of Mixed Trigonometric Polynomial Functions
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• Accurate approximations of some expressions involving trigonometric functions
• A proof of an open problem of Yusuke Nishizawa for a power-exponential function
• Refined estimates and generalizations of inequalities related to the arctangent function and Shafer's inequality
• One method for proving some classes of exponential analytic inequalities
• Some improvements of Jordan-Steckin and Becker-Stark inequalities