A further refinement of a Jordan type inequality and its application

DOI10.1016/j.amc.2007.08.022zbMath1142.26019OpenAlexW2092307937MaRDI QIDQ2479268

Shan-He Wu, Hari M. Srivastava

Publication date: 26 March 2008

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2007.08.022

zbMATH Keywords

higher order derivativesJordan's inequalityYang Le inequalityTaylor polynomialsgeneralizations and sharpening of Jordan's inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)

Related Items (19)

New refinements of Becker-Stark and Cusa-Huygens inequalities via trigonometric polynomials method ⋮ Hölder concavity and inequalities for Jacobian elliptic functions ⋮ Wilker and Huygens-type inequalities for the generalized trigonometric and for the generalized hyperbolic functions ⋮ Topics in Special Functions III ⋮ Sharp Redheffer-type and Becker-Stark-type inequalities with an application ⋮ The best approximation of the sinc function by a polynomial of degree \(n\) with the square norm ⋮ On Jordan type inequalities for hyperbolic functions ⋮ Double–Sided Taylor’s Approximations and Their Applications in Theory of Analytic Inequalities ⋮ WILKER AND HUYGENS-TYPE INEQUALITIES INVOLVING GUDERMANNIAN AND THE INVERSE GUDERMANNIAN FUNCTIONS ⋮ Sharpness and generalization of Jordan's inequality and its application ⋮ A further refinement of Wilker's inequality ⋮ Double-Sided Taylor’s Approximations and Their Applications in Theory of Trigonometric Inequalities ⋮ A general form of Jordan-type double inequality for the generalized and normalized Bessel functions ⋮ 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 ⋮ A generalization of L'Hospital-type rules for monotonicity and its application ⋮ Refinements, generalizations, and applications of Jordan's inequality and related problems ⋮ Sharp bounds on the sinc function via the Fourier series method

Cites Work

• Some improvements and generalizations of Steffensen's integral inequality
• 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
• A weighted and exponential generalization of Wilker's inequality and its applications
• Sharpening of Jordan's inequalities and its applications
• Sharpness and generalization of Jordan's inequality and its application
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