A general refinement of Jordan's inequality and a refinement of L. Yang's inequality

DOI10.1080/10652460701635886zbMath1141.26003OpenAlexW2034525484MaRDI QIDQ3506268

Feng Qi, Da-Wei Niu, Zhenhong Huo, Jian Cao

Publication date: 12 June 2008

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460701635886

zbMATH Keywords

refinementapplicationL. Yang's inequalityJordan's inequalityL'Hôspital's rule

Mathematics Subject Classification ID

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

Related Items (17)

Topics in Special Functions III ⋮ On bounds of the sine and cosine along straight lines on the complex plane ⋮ Inequalities for hyperbolic functions and their applications ⋮ The best approximation of the sinc function by a polynomial of degree \(n\) with the square norm ⋮ On Jordan type inequalities for hyperbolic functions ⋮ Sharped Jordan's type inequalities with exponential approximations ⋮ Sharpening of Jordan's type and Shafer-Fink's type inequalities with exponential approximations ⋮ Unnamed Item ⋮ A general form of Jordan-type double inequality for the generalized and normalized Bessel functions ⋮ A source of inequalities for circular functions ⋮ Some new inequalities of the Huygens type ⋮ Jordan type inequalities involving the Bessel and modified Bessel functions ⋮ Six new Redheffer-type inequalities for circular and hyperbolic functions ⋮ Sharpness and generalization of Jordan, Becker-Stark and Papenfuss inequalities with an application ⋮ Some new Wilker-type inequalities for circular and hyperbolic functions ⋮ Refinements, generalizations, and applications of Jordan's inequality and related problems ⋮ Generalizations of Shafer-Fink-type inequalities for the arc sine function

Cites Work

• Unnamed Item
• Generalized elliptic integrals and modular equations
• New strengthened Jordan's inequality and its applications
• Sharpening Jordan's inequality and 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. 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
• Sharpening Jordan's inequality and the Yang Le inequality
• Some inequalities constructed by Tchebysheff's integral inequality
• Sharpening of Jordan's inequalities and its applications
• Approximation by Integral Functions in the Complex Domain

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