Inequalities between the inverse hyperbolic tangent and the inverse sine and the analogue for corresponding functions

DOI10.1186/s13660-019-2046-2zbMath1499.26055OpenAlexW2930333407MaRDI QIDQ2067816

Ling Zhu, Branko J. Malešević

Publication date: 19 January 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-019-2046-2

zbMATH Keywords

inequalitiesinverse hyperbolic tangent functioninverse sine functioninverse hyperbolic sine functioninverse tangent function

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Inequalities for trigonometric functions and polynomials (26D05) Exponential and trigonometric functions (33B10)

Related Items (7)

A method to prove inequalities and its applications ⋮ Inequalities related to certain inverse trigonometric and inverse hyperbolic functions ⋮ New double inequality of Masjed-Jamei-type ⋮ A constructive method for approximating trigonometric functions and their integrals ⋮ Monotonous two-parameter functions for asymptoticly approximating the inequalities involving the inverse tangent functions ⋮ Natural approximation of Masjed-Jamei's inequality ⋮ New inequalities between the inverse hyperbolic tangent and the analogue for corresponding functions

Cites Work

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• A main inequality for several special functions
• Integer powers of arcsin
• Generalized elliptic integrals and modular equations
• Extensions of the natural approach to refinements and generalizations of some trigonometric inequalities
• Interesting Series Involving the Central Binomial Coefficient

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