AIMS Mathematics, 2020, 5(1): 376-384. doi: 10.3934/math.2020025.

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New inequalities of Wilker’s type for hyperbolic functions

Department of Mathematics, Zhejiang Gongshang University, Hangzhou, Zhejiang, China

Using power series expansions of functions and the monotonicity criterion for the quotient of power series, we establish some new Wilker-type inequalities for hyperbolic functions.
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Keywords Wilker-type inequalities; hyperbolic functions

Citation: Ling Zhu. New inequalities of Wilker’s type for hyperbolic functions. AIMS Mathematics, 2020, 5(1): 376-384. doi: 10.3934/math.2020025

References

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  • 3. I. Pinelis, L'Hospital rules for monotonicity and the Wilker-Anglesio inequality, Amer. Math. Monthly, 111 (2004), 905-909.    
  • 4. L. Zhu, On Wilker-type inequalities, Math. Inequal. Appl., 10 (2007), 727-731.
  • 5. Z. J. Sun and L. Zhu, On New Wilker-type inequalities, ISRN Mathematical Analysis, 2011 (2011), 1-7.
  • 6. Zh. H. Yang, Y. M. Chu and M. K. Wang, Monotonicity criterion for the quotient of power series with applications, J. Math. Anal. Appl., 428 (2015), 587-604.    

 

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