scientific article; zbMATH DE number 7528068

zbMath1490.26012MaRDI QIDQ5076810

Ramkrishna M. Dhaigude, Yogesh J. Bagul

Publication date: 17 May 2022

Full work available at URL: http://rsmams.org/journals/articleinfo.php?articleid=621&tag=seajmams

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zbMATH Keywords

Shafer inequalityShafer-Fink inequalityarctangent functionapproximate integralarcsine function

Mathematics Subject Classification ID

Other functions coming from differential, difference and integral equations (33E30) Inequalities for trigonometric functions and polynomials (26D05) Inequalities involving other types of functions (26D07)

Cites Work

• Refined quadratic estimations of Shafer's inequality
• Approximations to inverse tangent function
• 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
• Sharp refinements for the inverse sine function related to Shafer-Fink's inequality
• The natural algorithmic approach of mixed trigonometric-polynomial problems
• On the Cusa-Huygens inequality
• A method for proving some inequalities on mixed trigonometric polynomial functions
• Refined forms of Oppenheim and Cusa-Huygens type inequalities
• A solution of a problem of Oppeheim
• On a quadratic estimate of Shafer
• Some sharp circular and hyperbolic bounds of exp(-x2) with applications
• One method for proving some classes of exponential analytical inequalities
• Remark on the paper of Zheng Jie Sun and Ling Zhu
• Sharpening and generalizations of Shafer-Fink's double inequality for the arc sine function
• Analytic Inequalities
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