New inequalities of Shafer-Fink type for arc hyperbolic sine

DOI10.1155/2008/368275zbMath1165.26350OpenAlexW2168942348WikidataQ59216500 ScholiaQ59216500MaRDI QIDQ1008463

Ling Zhu

Publication date: 30 March 2009

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/130320

zbMATH Keywords

lambda methodarc hyperbolic sineinverse sineSchafer-Fink inequalities

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Inequalities for trigonometric functions and polynomials (26D05)

Related Items (11)

Sharp refined quadratic estimations of Shafer's inequalities ⋮ Some notes on a method for proving inequalities by computer ⋮ Topics in Special Functions III ⋮ Inequalities for hyperbolic functions and their applications ⋮ Sharpening of Jordan's type and Shafer-Fink's type inequalities with exponential approximations ⋮ Refined quadratic estimations of Shafer's inequality ⋮ Monotonicity results and inequalities for the inverse hyperbolic sine function ⋮ New Wilker-type and Huygens-type inequalities ⋮ ON THE INEQUALITIES FOR THE VOLUME OF THE UNIT BALL Ω_n IN R^n ⋮ Generalizations of Shafer-Fink-type inequalities for the arc sine function ⋮ Sharp Shafer-Fink type inequalities for Gauss lemniscate functions

Cites Work

• Monotonicity theorems and inequalities for the complete elliptic integrals
• One method for proving inequalities by computer
• On Shafer-Fink-type inequality
• Extension of Oppenheim's problem to Bessel functions

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