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

DOI10.2298/FIL1302261GzbMath1324.33001arXiv0902.3036OpenAlexW3101509848MaRDI QIDQ5252329

Qiu-Ming Luo, Feng Qi, Bai-Ni Guo

Publication date: 29 May 2015

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.3036

zbMATH Keywords

monotonicitygeneralizationsharpeningarc sine functionShafer-Fink's double inequality

Mathematics Subject Classification ID

Exponential and trigonometric functions (33B10)

Related Items (14)

Sharp refined quadratic estimations of Shafer's inequalities ⋮ Some notes on a method for proving inequalities by computer ⋮ A new method for sharpening the bounds of several special functions ⋮ Refinements and generalizations of some inequalities of Shafer-fink's type for the inverse sine function ⋮ Sharp Cusa type inequalities with two parameters and their applications ⋮ Sharpening of Jordan's type and Shafer-Fink's type inequalities with exponential approximations ⋮ Refined quadratic estimations of Shafer's inequality ⋮ An explicit formula for derivative polynomials of the tangent function ⋮ Monotonicity results and inequalities for the inverse hyperbolic sine function ⋮ Unnamed Item ⋮ A new method for refining the Shafer's equality and bounding the definite integrals ⋮ Shafer-Fink type inequalities for arc lemniscate functions ⋮ Sharpening and generalizations of Shafer's inequality for the arc tangent function ⋮ A new bounding technique based on infinite product decomposition

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