A proof of two conjectures of Chao-Ping Chen for inverse trigonometric functions
Branko Malesevic, Bojan Banjac, Ivana Jovovic
TL;DR
This paper proves two conjectures related to inverse trigonometric functions using a novel method for inequalities of mixed trigonometric polynomials, advancing mathematical understanding of these functions.
Contribution
It introduces a new approach for proving inequalities of mixed trigonometric polynomials and confirms two conjectures by Chao-Ping Chen.
Findings
Proof of two conjectures by Chao-Ping Chen
Development of a method for inequalities of mixed trigonometric polynomials
Enhanced understanding of 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.
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