Refinements, generalizations, and applications of Jordan's inequality and related problems
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Publication:1035479
DOI10.1155/2009/271923zbMath1175.26048OpenAlexW2114627566WikidataQ59220280 ScholiaQ59220280MaRDI QIDQ1035479
Feng Qi, Bai-Ni Guo, Da-Wei Niu
Publication date: 3 November 2009
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/130925
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Cites Work
- Monotonicity theorems and inequalities for the complete elliptic integrals
- Trigonometric interpolation in Hölder spaces
- Functional inequalities involving special functions. II
- Inequalities involving modified Bessel functions of the first kind. II
- Turán type inequalities for generalized complete elliptic integrals
- Functional inequalities involving Bessel and modified Bessel functions of the first kind
- Some new Wilker-type inequalities for circular and hyperbolic functions
- Sharpening and generalizations of Shafer's inequality for the arc tangent function
- On certain means of two arguments and their extensions
- Inequalities and bounds for elliptic integrals
- On the strengthened Jordan's inequality
- A further refinement of a Jordan type inequality and its application
- Functional inequalities involving special 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
- Alternative proofs for inequalities of some trigonometric functions
- Turán type inequalities for hypergeometric functions
- A further refinement of Wilker's inequality
- L'Hospital Rules for Monotonicity and the Wilker-Anglesio Inequality
- Functional Inequalities for Hypergeometric Functions and Complete Elliptic Integrals
- A weighted and exponential generalization of Wilker's inequality and its applications
- Approximation by Integral Functions in the Complex Domain
- An arithmetic-geometric mean inequality
