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SOME GENERAL WILKER-HUYGENS INEQUALITIES.

Authors :
Tie-Hong Zhao
Yu-Ming Chu
Source :
Applicable Analysis & Discrete Mathematics. Oct2022, Vol. 16 Issue 2, p400-426. 27p.
Publication Year :
2022

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. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*HYPERBOLIC functions
*EQUALITY

Details

Language :
English
ISSN :
14528630
Volume :
16
Issue :
2
Database :
Academic Search Index
Journal :
Applicable Analysis & Discrete Mathematics
Publication Type :
Academic Journal
Accession number :
160061728
Full Text :
https://doi.org/10.2298/AADM210518032Z