New inequalities between the inverse hyperbolic tangent and the analogue for corresponding functions
DOI10.1186/s13660-020-02396-8zbMath1503.26025OpenAlexW3032403774MaRDI QIDQ2069435
Long Nie, Xiao-Diao Chen, Wangkang Huang
Publication date: 20 January 2022
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13660-020-02396-8
inequalitiesinverse hyperbolic tangent functioninverse sine functioninverse hyperbolic sine functioninverse tangent function
Inequalities for sums, series and integrals (26D15) Approximation by polynomials (41A10) Monotonic functions, generalizations (26A48) Inequalities for trigonometric functions and polynomials (26D05) Exponential and trigonometric functions (33B10)
Related Items (3)
Cites Work
- Sharp inequalities for tangent function with applications
- A main inequality for several special functions
- New bounds for the exponential function with cotangent
- Sharpening the Becker-Stark inequalities
- Sharpening Redheffer-type inequalities for circular functions
- A generalization of L'Hospital-type rules for monotonicity and its application
- Extensions of the natural approach to refinements and generalizations of some trigonometric inequalities
- Inequalities between the inverse hyperbolic tangent and the inverse sine and the analogue for corresponding functions
- Inequalities related to certain inverse trigonometric and inverse hyperbolic functions
- Refinements of Jordan-Stečkin and Becker-Stark inequalities
- Natural approximation of Masjed-Jamei's inequality
- Monotonicity criterion for the quotient of power series with applications
- A method for proving some inequalities on mixed trigonometric polynomial functions
- Simple proofs of the Cusa-Huygens-type and Becker-Stark-type inequalities
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