Title of article :
Sharpened versions of Mitrinović-Adamović, Lazarević and Wilkers inequalities for trigonometric and hyperbolic functions
Author/Authors :
Wu ، Shan-He - Longyan University , Li ، Shu-Guang - Longyan University , Bencze ، - University of Craiova
Abstract :
In this paper, we establish new sharpened versions of Mitrinović-Adamović and Lazarević s inequalities. Further, we provide an application of our results to the improvements of Wilker s inequality for trigonometric and hyperbolic functions. We show that the coefficient assigned to each of these sharpened inequalities is best possible.
Keywords :
Mitrinović , Adamović s inequality , Lazarević s inequality , Wilker s inequality , sharpening , best possible coefficient , trigonometric functions , hyperbolic functions
Journal title :
Journal of Nonlinear Science and Applications
Journal title :
Journal of Nonlinear Science and Applications