Padé approximants for inverse trigonometric functions and their applications

DOI10.1186/s13660-017-1310-6zbMath1356.41007OpenAlexW2585891365WikidataQ41896831 ScholiaQ41896831MaRDI QIDQ506895

Gabriel Bercu, Shan-He Wu

Publication date: 2 February 2017

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

Full work available at URL: https://doi.org/10.1186/s13660-017-1310-6

zbMATH Keywords

inequalitiesrefinementPadé approximantinverse trigonometric functions

Mathematics Subject Classification ID

Padé approximation (41A21) Inequalities for sums, series and integrals (26D15) Inequalities for trigonometric functions and polynomials (26D05) Exponential and trigonometric functions (33B10)

Related Items (5)

A new sequence related to the Euler-Mascheroni constant ⋮ Refinements and generalizations of some inequalities of Shafer-fink's type for the inverse sine function ⋮ Refined estimates and generalizations of inequalities related to the arctangent function and Shafer's inequality ⋮ Tighter bounds for the inequalities of sinc function based on reparameterization ⋮ New bounds of Wilker- and Huygens-type inequalities for inverse trigonometric functions

Cites Work

• Unnamed Item
• Padé approximant related to remarkable inequalities involving trigonometric functions
• Sharpness of Wilker and Huygens type inequalities
• On Shafer and Carlson inequalities
• On Jordan type inequalities for hyperbolic functions
• Positive solutions for boundary value problems of nonlinear fractional differential equation
• Generalizations of Shafer-Fink-type inequalities for the arc sine function
• Sharpening and generalizations of Shafer's inequality for the arc tangent function
• On Shafer-Fink-type inequality
• The Padé approximant
• Refinements of certain hyperbolic inequalities via the Padé approximation method
• On certain inequalities for hyperbolic and trigonometric functions
• Estimates for the arctangent function related to Shafer's inequality
• Wilker- and Huygens-type inequalities and solution to Oppenheim’s problem
• On some inequalities involving trigonometric and hyperbolic functions with emphasis on the Cusa-Huygens, Wilker, and Huygens inequalities
• Sharp Wilker- and Huygens-type inequalities for inverse trigonometric and inverse hyperbolic functions
• On Shafer-Fink Inequalities
• The natural approach of Wilker-Cusa-Huygens inequalities
• On Wilker-type inequalities

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