Necessary and sufficient conditions for the two parameter generalized Wilker-type inequalities

Abstract In the article, we provide the necessary and sufficient conditions for the parameters α and β such that the generalized Wilker-type inequality 2 β α + 2 β ( sin x x ) α + α α + 2 β ( tan x x ) β − 1 > ( < ) 0 $$ \frac{2\beta}{\alpha+2\beta} \biggl(\frac{\sin x}{x} \biggr)^{\alpha}+ \f...

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Bibliographic Details
Main Authors: Hui Sun, Zhen-Hang Yang, Yu-Ming Chu
Format: Article
Language:English
Published: SpringerOpen 2016-12-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-016-1270-2