Generalizations of Shafer-Fink-type inequalities for the arc sine function

DOI10.1155/2009/705317zbMath1175.26046OpenAlexW2151167922WikidataQ59248833 ScholiaQ59248833MaRDI QIDQ1035527

Ling Zhu, Wen-Hai Pan

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/130923

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)

Related Items (6)

Topics in Special Functions III ⋮ On Jordan type inequalities for hyperbolic functions ⋮ Padé approximants for inverse trigonometric functions and their applications ⋮ Monotonicity results and inequalities for the inverse hyperbolic sine function ⋮ Shafer-Fink type inequalities for arc lemniscate functions ⋮ Sharp Shafer-Fink type inequalities for Gauss lemniscate functions

Cites Work

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• New inequalities of Shafer-Fink type for arc hyperbolic sine
• A generalization of L'Hospital-type rules for monotonicity and its application
• Generalized elliptic integrals and modular equations
• Inequalities for quasiconformal mappings in space
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• On Shafer-Fink-type inequality
• Sharpening Jordan's inequality and the Yang Le inequality
• On Shafer-Fink Inequalities
• A general refinement of Jordan's inequality and a refinement of L. Yang's inequality
• Analytic Inequalities

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