Sharpening and generalizations of Shafer's inequality for the arc sine function

DOI10.1080/10652469.2011.564578zbMath1247.33002arXiv0902.2588OpenAlexW3101454021MaRDI QIDQ2880448

Feng Qi, Bai-Ni Guo

Publication date: 13 April 2012

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.2588

zbMATH Keywords

monotonicityarc sine functionShafer's inequality

Mathematics Subject Classification ID

Inequalities for trigonometric functions and polynomials (26D05) Exponential and trigonometric functions (33B10)

Related Items

Some notes on a method for proving inequalities by computer ⋮ Sharp Cusa type inequalities with two parameters and their applications ⋮ An explicit formula for derivative polynomials of the tangent function ⋮ Sharp refinements for the inverse sine function related to Shafer-Fink's inequality ⋮ Monotonicity results and inequalities for the inverse hyperbolic sine function ⋮ A new method for refining the Shafer's equality and bounding the definite integrals ⋮ Sharpening and generalizations of Shafer's inequality for the arc tangent function ⋮ Sharp Shafer-Fink type inequalities for Gauss lemniscate functions

Cites Work

• A simple proof of Oppenheim's double inequality relating to the cosine and sine functions
• Analytic Inequalities