The best possible constants approach for Wilker-Cusa-Huygens inequalities via stratification
DOI10.2298/aadm240308012bMaRDI QIDQ6567850
B. Mihailović, Branko J. Malešević, Milica Savatović, Bojan D. Banjac, Miloš Mićović
Publication date: 5 July 2024
Published in: Applicable Analysis and Discrete Mathematics (Search for Journal in Brave)
Wilker-Cusa-Huygens inequalitiesstratified families of functionsautomated proving of MTP inequalitiesminimax approximantSimTheP
Inequalities for trigonometric functions and polynomials (26D05) Best constants in approximation theory (41A44) Theorem proving (automated and interactive theorem provers, deduction, resolution, etc.) (68V15)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Approximations to inverse tangent function
- New approximation inequalities for circular functions
- Refinements, generalizations, and applications of Jordan's inequality and related problems
- Extensions of the natural approach to refinements and generalizations of some trigonometric inequalities
- New approximations of some expressions involving trigonometric functions
- The natural algorithmic approach of mixed trigonometric-polynomial problems
- On the Cusa-Huygens inequality
- New refinements of Cusa-Huygens inequality
- New inequalities of Wilker's type for circular functions
- Refinements of Huygens- and Wilker-type inequalities
- Automated proof of mixed trigonometric-polynomial inequalities
- Refinements of Jordan-Stečkin and Becker-Stark inequalities
- On two trigonometric inequalities of Askey and Steinig
- One method for proving inequalities by computer
- Some notes on a method for proving inequalities by computer
- Refinements of some classical inequalities involving sinc and hyperbolic sinc functions
- A refinement of Vietoris’ inequality for cosine polynomials
- A method for proving some inequalities on mixed trigonometric polynomial functions
- Analytic Number Theory, Approximation Theory, and Special Functions
- A proof of two conjectures of Chao-Ping Chen for inverse trigonometric functions
- The natural approach of trigonometric inequalities - Padé approximant
- Refined forms of Oppenheim and Cusa-Huygens type inequalities
- A minimax approximant in the theory of analytic inequalities
- A Hybrid Polynomial System Solving Method for Mixed Trigonometric Polynomial Systems
- Sharp Redheffer-type and Becker-Stark-type inequalities with an application
- A proof of an open problem of Yusuke Nishizawa for a power-exponential function
- On Fejér's inequalities for the Legendre polynomials
- The Cusa-Huygens inequality revisited
- A solution to an open problem for Wilker-type inequalities
- Some new estimates of precision of Cusa-Huygens and Huygens approximations
- One method for proving some classes of exponential analytical inequalities
- Sharp Wilker and Huygens type inequalities for trigonometric and inverse trigonometric functions
- On the Wilker and Huygens-type inequalities
- The natural approach of Wilker-Cusa-Huygens inequalities
- Sharpness and generalization of Jordan, Becker-Stark and Papenfuss inequalities with an application
- Sharpening and generalizations of Shafer-Fink's double inequality for the arc sine function
- Inequalities
- Analytic Inequalities
- New inequalities of Huygens-type involving tangent and sine functions
- New sharp inequalities of Mitrinovic-Adamovic type
- The relationship between Huygens’ and Wilker’s inequalities and further remarks
- Sharped Jordan's type inequalities with exponential approximations
- Frame's types of inequalities and stratification
- New sharp bounds for sinc and hyperbolic sinc functions via cos and cosh functions
- Inequalities for trigonometric sums
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