On Seiffert-like means

DOI10.7153/jmi-09-83zbMath1329.26055arXiv1309.1244OpenAlexW3101886425MaRDI QIDQ3458860

Alfred Witkowski

Publication date: 28 December 2015

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

Full work available at URL: https://arxiv.org/abs/1309.1244

zbMATH Keywords

logarithmic meanSeiffert meanSeiffert function

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Means (26E60)

Related Items (17)

Optimal bounds for Seiffert-like elliptic integral mean by harmonic, geometric, and arithmetic means ⋮ Approximations for the complete elliptic integral of the second Kind ⋮ Refinements of bounds for the arithmetic mean by new Seiffert-like means ⋮ Optimal bounds for the sine and hyperbolic tangent means by arithmetic and centroidal means in exponential type ⋮ Ky Fan inequalities for bivariate means ⋮ Comparison of orders generated by Ky Fan type inequalities for bivariate means ⋮ Optimal bounds for two Seiffert-like means by arithmetic mean and harmonic mean ⋮ Sharp weighted Hölder mean bounds for the complete elliptic integral of the second kind ⋮ Optimal bounds for the tangent and hyperbolic sine means ⋮ Optimal bounds for the sine and hyperbolic tangent means. IV ⋮ Optimal bounds for two Seiffert-like means in exponential type ⋮ 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 ⋮ Explicit solutions of the invariance equation for means ⋮ Sharp generalized Seiffert mean bounds for the Toader mean of order 4 ⋮ Optimal bounds for the sine and hyperbolic tangent means. II ⋮ Sharp power mean bounds for the tangent and hyperbolic sine means

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