On the Wilker and Huygens-type inequalities
C.P Chen, R B Paris
TL;DR
This paper investigates conjectures related to Wilker and Huygens-type inequalities, providing proofs and establishing sharp inequalities to advance understanding in mathematical inequality theory.
Contribution
It proves three conjectures on Wilker and Huygens-type inequalities and presents new sharp inequalities in this area.
Findings
Proofs of three conjectures on Wilker and Huygens inequalities
New sharp Wilker and Huygens-type inequalities
Enhanced understanding of inequality bounds
Abstract
Chen and Cheung [C.-P. Chen, W.-S. Cheung, Sharpness of Wilker and Huygens type inequalities, J. Inequal. Appl. 2012 (2012) 72, \url{http://dx.doi.org/10.1186/1029-242X-2012-72}] established sharp Wilker and Huygens-type inequalities. These authors also proposed three conjectures on Wilker and Huygens-type inequalities. In this paper, we consider these conjectures. We also present sharp Wilker and Huygens-type inequalities.
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Taxonomy
TopicsMathematical Inequalities and Applications · Functional Equations Stability Results · Analytic and geometric function theory