Sharpening of Jordan's inequalities and its applications

DOI10.7153/mia-09-10zbMath1089.26007OpenAlexW2335230318MaRDI QIDQ5471341

Ling Zhu

Publication date: 6 June 2006

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-09-10

zbMATH Keywords

lower and upper boundsYang Le inequalityJordan inequality

Mathematics Subject Classification ID

Inequalities for trigonometric functions and polynomials (26D05)

Related Items (28)

A new method for sharpening the bounds of several special functions ⋮ Inequalities for hyperbolic functions and their applications ⋮ On Jordan type inequalities for hyperbolic functions ⋮ A general refinement of Jordan's inequality and a refinement of L. Yang's inequality ⋮ Sharped Jordan's type inequalities with exponential approximations ⋮ A note on Jordan type inequalities for hyperbolic functions ⋮ An extended Jordan's inequality in exponential type ⋮ Sharpening of Jordan's type and Shafer-Fink's type inequalities with exponential approximations ⋮ New bounds of sinc function by using a family of exponential functions ⋮ Tighter bounds for the inequalities of sinc function based on reparameterization ⋮ A new method for proving some inequalities related to several special functions ⋮ Jordan-type inequalities for differentiable functions and their applications ⋮ Unnamed Item ⋮ A further refinement of a Jordan type inequality and its application ⋮ Refinements of Jordan-Stečkin and Becker-Stark inequalities ⋮ 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 ⋮ Some new bounds for Sinc function by simultaneous approximation of the base and exponential functions ⋮ Sharpness and generalization of Jordan, Becker-Stark and Papenfuss inequalities with an application ⋮ Generalizations of a parameterized Jordan-type inequality, Janous's inequality and Tsintsifas's inequality ⋮ General forms of Jordan and Yang Le inequalities ⋮ A generalization of L'Hospital-type rules for monotonicity and its application ⋮ Some new Wilker-type inequalities for circular and hyperbolic functions ⋮ New refinements and improvements of some trigonometric inequalities based on Padé approximant ⋮ New refinements and improvements of Jordan's inequality

This page was built for publication: Sharpening of Jordan's inequalities and its applications