Bounds for the perimeter of an ellipse in terms of power means
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Publication:5141741
DOI10.7153/jmi-2020-14-58zbMath1456.26023OpenAlexW3085311086MaRDI QIDQ5141741
Zai-Yin He, Yue Ping Jiang, Miao-Kun Wang, Yu-Ming Chu
Publication date: 18 December 2020
Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.7153/jmi-2020-14-58
Means (26E60) Elliptic functions and integrals (33E05) Elliptic integrals as hypergeometric functions (33C75)
Related Items (15)
New fractional approaches for \(n\)-polynomial \(\mathcal{P}\)-convexity with applications in special function theory ⋮ Optimal bounds for the sine and hyperbolic tangent means by arithmetic and centroidal means in exponential type ⋮ On the bounds of the perimeter of an ellipse ⋮ Absolute monotonicity involving the complete elliptic integrals of the first kind with applications ⋮ Sharp inequalities for the Toader mean of order -1 in terms of other bivariate means ⋮ Optimal Lehmer mean bounds for the $n$th power-type Toader means of n=-1,1,3 ⋮ Improved bounds of Mitrinović-Adamović-type inequalities by using two-parameter functions ⋮ Monotonicity and sharp inequalities related to complete \((p,q)\)-elliptic integrals of the first kind ⋮ Optimal bounds for the sine and hyperbolic tangent means. IV ⋮ Optimal bounds of exponential type for arithmetic mean by Seiffert-like mean and centroidal mean ⋮ Optimal bounds of classical and non-classical means in terms of \(Q\) means ⋮ Sharp bounds for the lemniscatic mean by the one-parameter geometric and quadratic means ⋮ New inequalities of Mitrinović-Adamović type ⋮ Sharp bounds for the Toader mean in terms of arithmetic and geometric means ⋮ Functional inequalities for Gaussian hypergeometric function and generalized elliptic integral of the first kind
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