Monotonous two-parameter functions for asymptoticly approximating the inequalities involving the inverse tangent functions
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Publication:2240628
DOI10.1007/s13398-021-01152-xzbMath1492.26016OpenAlexW3206734912MaRDI QIDQ2240628
Xianghui Pan, Cheng Qian, Ping Zhu, Xiao-Diao Chen
Publication date: 4 November 2021
Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13398-021-01152-x
Inequalities for sums, series and integrals (26D15) Inequalities for trigonometric functions and polynomials (26D05) Exponential and trigonometric functions (33B10)
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Cites Work
- Sharp inequalities for tangent function with applications
- A main inequality for several special functions
- Sharpening of Jordan's type and Shafer-Fink's type inequalities with exponential approximations
- New bounds for the exponential function with cotangent
- Approximations to inverse tangent function
- New refinements of Becker-Stark and Cusa-Huygens inequalities via trigonometric polynomials method
- New boundary Harnack inequalities with right hand side
- 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
- On Jordan's inequality
- A new method for proving some inequalities related to several special functions
- Trace Hardy inequality for the Euclidean space with a cut and its applications
- On the Cusa-Huygens inequality
- Wilker inequalities of exponential type for circular functions
- New bounds of Wilker- and Huygens-type inequalities for inverse trigonometric functions
- New refinements of Cusa-Huygens inequality
- Logarithmic convexity and increasing property of the Bernoulli numbers and their ratios
- Inequalities between the inverse hyperbolic tangent and the inverse sine and the analogue for corresponding functions
- New inequalities between the inverse hyperbolic tangent and the analogue for corresponding functions
- The monotonicity of ratios involving arc tangent function with applications
- Inequalities related to certain inverse trigonometric and inverse hyperbolic functions
- New Mitrinović-Adamović type inequalities
- A constructive method for approximating trigonometric functions and their integrals
- Refinements of Jordan-Stečkin and Becker-Stark inequalities
- Natural approximation of Masjed-Jamei's inequality
- Some new bounds for Sinc function by simultaneous approximation of the base and exponential functions
- Sharp inequalities of Mitrinovic-Adamovic type
- An unity of Mitrinovic-Adamovic and Cusa-Huygens inequalities and the analogue for hyperbolic functions
- New refinements and improvements of Jordan's inequality
- Monotonicity criterion for the quotient of power series with applications
- The inverse hyperbolic tangent function and Jacobian sine function
- A new method for sharpening the bounds of several special functions
- Refinements of certain hyperbolic inequalities via the Padé approximation method
- A method for proving some inequalities on mixed trigonometric polynomial functions
- On Jordan's, Redheffer's and Wilker's inequality
- Simple proofs of the Cusa-Huygens-type and Becker-Stark-type inequalities
- New trigonometric and hyperbolic inequalities
- Some New Simple Inequalities Involving Exponential, Trigonometric and Hyperbolic Functions
- Fourier series method related to Wilker-Cusa-Huygens inequalities
- Inequalities involving circular, hyperbolic and exponential functions
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