Some refined families of Jordan-type inequalities and their applications

DOI10.1080/10652460701712727zbMath1147.26017OpenAlexW2125862164MaRDI QIDQ3506271

Lokenath Debnath, Shan-He Wu, Hari M. Srivastava

Publication date: 12 June 2008

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460701712727

zbMATH Keywords

power seriespolynomial representationhigher order derivativesYang Le inequalityJordan inequalitygeneralizations and refinement of Jordan's inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Inequalities for trigonometric functions and polynomials (26D05) Inequalities involving other types of functions (26D07) Exponential and trigonometric functions (33B10)

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Cites Work

• Unnamed Item
• Some improvements and generalizations of Steffensen's integral inequality
• 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
• A weighted and exponential generalization of Wilker's inequality and its applications

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