Optimal bounds for the tangent and hyperbolic sine means II

DOI10.7153/JMI-2020-14-02zbMath1437.26040OpenAlexW3012007360MaRDI QIDQ5109744

Monika Nowicka, Alfred Witkowski

Publication date: 13 May 2020

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

Full work available at URL: https://doi.org/10.7153/jmi-2020-14-02

zbMATH Keywords

Seiffert functionhyperbolic sine meantangent mean

Mathematics Subject Classification ID

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

Related Items (9)

Sharp bounds for Gauss lemniscate functions and lemniscatic means ⋮ 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 ⋮ 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 sine and hyperbolic tangent means. IV ⋮ Optimal bounds of exponential type for arithmetic mean by Seiffert-like mean and centroidal mean ⋮ Sharp generalized Seiffert mean bounds for the Toader mean of order 4 ⋮ Sharp power mean bounds for the tangent and hyperbolic sine means

Cites Work

• Optimal bounds for the tangent and hyperbolic sine means
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