The t-modification of homogeneous symmetric means concerning complete elliptic integrals

DOI10.7153/jmi-2022-16-42OpenAlexW4285160477WikidataQ114012066 ScholiaQ114012066MaRDI QIDQ5093911

Jiahui Wu, Miao-Kun Wang

Publication date: 2 August 2022

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jmi-2022-16-42

zbMATH Keywords

monotonicityinequalitycomplete elliptic integralshomogeneous symmetric means

Mathematics Subject Classification ID

Means (26E60) Elliptic functions and integrals (33E05)

Cites Work

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• A new form of the generalized complete elliptic integrals
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• Bounds for the perimeter of an ellipse
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• Monotonicity theorems and inequalities for the complete elliptic integrals
• Distortion functions for plane quasiconformal mappings
• Robin capacity and extremal length
• Inequalities for means
• Some mean values related to the arithmetic-geometric mean
• Elliptic integral inequalities with applications
• Optimal Lehmer mean bounds for the Toader mean
• Asymptotical bounds for complete elliptic integrals of the second kind
• On the bounds of the perimeter of an ellipse
• Gauss, Landen, Ramanujan, the Arithmetic-Geometric Mean, Ellipses, π, and the Ladies Diary
• A Monotonicity Property Involving ₃F₂ and Comparisons of the Classical Approximations of Elliptical Arc Length
• Topics in Special Functions
• Discrete monotonicity of means and its applications
• An Inequality Involving the Generalized Hypergeometric Function and the Arc Length of an Ellipse

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