Sharpening Jordan's inequality and the Yang Le inequality
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Publication:2488701
DOI10.1016/j.aml.2005.06.004zbMath1097.26012OpenAlexW2014760829MaRDI QIDQ2488701
Publication date: 11 May 2006
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2005.06.004
Inequalities for trigonometric functions and polynomials (26D05) Trigonometric polynomials, inequalities, extremal problems (42A05)
Related Items (34)
Refining trigonometric inequalities by using Padé approximant ⋮ Hölder concavity and inequalities for Jacobian elliptic functions ⋮ An identity related to Jordan's inequality ⋮ Sharp Redheffer-type and Becker-Stark-type inequalities with an application ⋮ 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 ⋮ Some refined families of Jordan-type inequalities and their applications ⋮ Sharped Jordan's type inequalities with exponential approximations ⋮ Sharpness and generalization of Jordan's inequality and its application ⋮ An extended Jordan's inequality in exponential type ⋮ A new generalized and sharp version of Jordan's inequality and its applications to the improvement of the Yang Le inequality. II ⋮ Sharpening of Jordan's type and Shafer-Fink's type inequalities with exponential approximations ⋮ A general refinement of Jordan-type inequality ⋮ One method for proving inequalities by computer ⋮ On the strengthened Jordan's inequality ⋮ Jordan-type inequalities for differentiable functions and their applications ⋮ Unnamed Item ⋮ Monotonicity rule for the quotient of two functions and its application ⋮ A further refinement of a Jordan type inequality and its application ⋮ A new generalized and sharp version of Jordan's inequality and its applications to the improvement of the Yang Le inequality ⋮ 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 ⋮ 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 ⋮ Generalizations of Shafer-Fink-type inequalities for the arc sine function ⋮ Monotonicity criterion for the quotient of power series with applications
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