Tighter bounds for the inequalities of sinc function based on reparameterization
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Publication:2244655
DOI10.1007/s13398-021-01170-9zbMath1487.26022OpenAlexW3210321012MaRDI QIDQ2244655
Cheng Qian, Xiao-Diao Chen, Branko J. Malešević
Publication date: 12 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/s13398-021-01170-9
Inequalities for trigonometric functions and polynomials (26D05) Exponential and trigonometric functions (33B10)
Related Items (2)
Improved bounds of Mitrinović-Adamović-type inequalities by using two-parameter functions ⋮ Refinements of some classical inequalities involving sinc and hyperbolic sinc functions
Cites Work
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- Padé approximant related to remarkable inequalities involving trigonometric functions
- Refinements of Jordan's inequality
- Padé approximants for inverse trigonometric functions and their applications
- An extended Jordan's inequality in exponential type
- Sharpening of Jordan's type and Shafer-Fink's type inequalities with exponential approximations
- New bounds for the exponential function with cotangent
- Jordan-type inequalities for differentiable functions and their applications
- A source of inequalities for circular functions
- Generalizations of a parameterized Jordan-type inequality, Janous's inequality and Tsintsifas's inequality
- General forms of Jordan and Yang Le inequalities
- Refinements, generalizations, and applications of Jordan's inequality and related problems
- New strengthened Jordan's inequality and its applications
- On Jordan's inequality
- New approximations of some expressions involving trigonometric functions
- 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
- Approximating trigonometric functions by using exponential inequalities
- Inequalities related to certain inverse trigonometric and inverse hyperbolic functions
- New inequalities for hyperbolic functions based on reparameterization
- A general form of Jordan-type double inequality for the generalized and normalized Bessel functions
- Shafer-Fink type inequalities for arc lemniscate functions
- 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
- A new method for sharpening the bounds of several special functions
- A new generalized and sharp version of Jordan's inequality and its applications to the improvement of the Yang Le inequality. II
- A new generalized and sharp version of Jordan's inequality and its applications to the improvement of the Yang Le inequality
- A new refined form of Jordan's inequality and its applications
- A method for proving some inequalities on mixed trigonometric polynomial functions
- On Jordan's, Redheffer's and Wilker's inequality
- Refinements of a two-sided inequality for trigonometric functions
- A proof of two conjectures of Chao-Ping Chen for inverse trigonometric functions
- The natural approach of trigonometric inequalities - Padé approximant
- A proof of an open problem of Yusuke Nishizawa for a power-exponential function
- New trigonometric and hyperbolic inequalities
- Some inequalities constructed by Tchebysheff's integral inequality
- Sharp bounds for Seiffert mean in terms of weighted power means of arithmetic mean and geometric mean
- Some New Simple Inequalities Involving Exponential, Trigonometric and Hyperbolic Functions
- Inequalities involving circular, hyperbolic and exponential functions
- Sharpening of Jordan's inequalities and its applications
- Sharpness and generalization of Jordan's inequality and its application
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