Approximations to inverse tangent function

DOI10.1186/s13660-018-1734-7zbMath1498.26028OpenAlexW2809092672WikidataQ55417399 ScholiaQ55417399MaRDI QIDQ824616

Chao-Ping Chen, Quan-Xi Qiao

Publication date: 15 December 2021

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

Full work available at URL: https://doi.org/10.1186/s13660-018-1734-7

zbMATH Keywords

approximationinequalityinverse trigonometric function

Mathematics Subject Classification ID

Padé approximation (41A21) Computation of special functions and constants, construction of tables (65D20) Inequalities for sums, series and integrals (26D15) Inequalities for trigonometric functions and polynomials (26D05) Exponential and trigonometric functions (33B10)

Related Items (4)

Inequalities related to certain inverse trigonometric and inverse hyperbolic functions ⋮ Monotonous two-parameter functions for asymptoticly approximating the inequalities involving the inverse tangent functions ⋮ Unnamed Item ⋮ The monotonicity of ratios involving arc tangent function with applications

Cites Work

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• Shafer-type inequalities for inverse trigonometric functions and Gauss lemniscate functions
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• On Shafer and Carlson inequalities
• Refinements, generalizations, and applications of Jordan's inequality and related problems
• Sharpening and generalizations of Shafer's inequality for the arc tangent function
• New representations of Padé, Padé-type, and partial Padé approximants
• A new method for sharpening the bounds of several special functions
• Refinements of certain hyperbolic inequalities via the Padé approximation method
• The natural approach of trigonometric inequalities - Padé approximant
• On a quadratic estimate of Shafer
• On Quadratic Approximation

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