Some new results of Mitrinović-Cusa's and related inequalities based on the interpolation and approximation method

DOI10.1155/2021/5595650zbMath1477.26025OpenAlexW3153050397MaRDI QIDQ2035705

Publication date: 25 June 2021

Published in: Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2021/5595650

Mathematics Subject Classification ID

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

Related Items (3)

New sharp inequalities of Mitrinovic-Adamovic type ⋮ Refinements of some classical inequalities involving sinc and hyperbolic sinc functions ⋮ A new bounding technique based on infinite product decomposition

Cites Work

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Sharpness of Wilker and Huygens type inequalities
On Huygens inequalities and the theory of means
Sharp Cusa type inequalities with two parameters and their applications
New refinements and improvements of some trigonometric inequalities based on Padé approximant
Some Wilker and Cusa type inequalities for generalized trigonometric and hyperbolic functions
A two-point-Padé-approximant-based method for bounding some trigonometric functions
A source of inequalities for circular functions
Some new inequalities of the Huygens type
Wilker and Huygens-type inequalities for the generalized trigonometric and for the generalized hyperbolic functions
A subtly analysis of Wilker inequality
Extensions of the natural approach to refinements and generalizations of some trigonometric inequalities
A note on Jordan, Adamović-Mitrinović, and Cusa inequalities
New approximations of some expressions involving trigonometric functions
The natural algorithmic approach of mixed trigonometric-polynomial problems
Approximating trigonometric functions by using exponential inequalities
New inequalities of Wilker's type for circular functions
New Cusa-Huygens type inequalities
Refinements of Huygens- and Wilker-type inequalities
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
Sharpened versions of Mitrinović-Adamović, Lazarević and Wilkers inequalities for trigonometric and hyperbolic functions
A method for proving some inequalities on mixed trigonometric polynomial functions
On Jordan's, Redheffer's and Wilker's inequality
On some inequalities involving trigonometric and hyperbolic functions with emphasis on the Cusa-Huygens, Wilker, and Huygens inequalities
Refined forms of Oppenheim and Cusa-Huygens type inequalities
The natural approach of Wilker-Cusa-Huygens inequalities
Inequality chains for Wilker, Huygens and Lazarević type inequalities
A weighted and exponential generalization of Wilker's inequality and its applications
On Wilker-type inequalities
Analytic Inequalities

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