Some general Wilker-Huygens inequalities

Author:

Zhao Tie-Hong1,Chu Yu-Ming2

Affiliation:

1. School of Mathematics, Hangzhou Normal University, Hangzhou, China

2. Department of Mathematics, Huzhou University, Huzhou, China

Abstract

In this paper, we provide a systematic way to study on some general Wilker-Huygens type inequalities for the trigonometric and hyperbolic functions, lemniscate and hyperbolic lemniscate functions, and their corresponding inverse functions. Our results are some extensions and refinements of the recently published results in [A. Mhanna, On a general Huygens-Wilker inequality, Appl. Math. E.-Notes, 20 (2020), 79-81; MR4076436], and improve many previous results involving Wilker-Huygens type inequalities.

Publisher

National Library of Serbia

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Reference46 articles.

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3. B. C. Carlson: Algorithms involving arithmetic and geometric means, Amer. Math. Mon. 78 (1971), 496-505.

4. C.-P. Chen and W.-S. Cheung: Inequalities and solution to Oppenheim's problem, Integral Transforms Spec. Funct. 23(5) (2012), 325-336.

5. C.-P. Chen and W.-S. Cheung: Sharpness of Wilker and Huygens type inequalities, J. Inequal. Appl. 2012 (2012): 72.

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