Jordan-type inequalities for differentiable functions and their applications

DOI10.1016/j.aml.2007.09.001zbMath1168.26319OpenAlexW2062922674MaRDI QIDQ953879

Lokenath Debnath, Shan-He Wu

Publication date: 6 November 2008

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2007.09.001

zbMATH Keywords

differentiable functiongeneralizationhigher-order derivativesJordan's inequalityimprovementTaylor polynomials

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Inequalities involving other types of functions (26D07)

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Cites Work

• Generalized elliptic integrals and modular equations
• New strengthened Jordan's inequality and its applications
• Sharpening Jordan's inequality and Yang Le inequality. II
• A new generalized and sharp version of Jordan's inequality and its applications to the improvement of the Yang Le inequality. II
• A new generalized and sharp version of Jordan's inequality and its applications to the improvement of the Yang Le inequality
• A new refined form of Jordan's inequality and its applications
• Sharpening Jordan's inequality and the Yang Le inequality
• Sharpening of Jordan's inequalities and its applications
• Sharpness and generalization of Jordan's inequality and its application
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• Unnamed Item
• Unnamed Item

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