New inequalities for hyperbolic functions and their applications

DOI10.1186/1029-242X-2012-303zbMath1279.26067WikidataQ59290600 ScholiaQ59290600MaRDI QIDQ388044

Ling Zhu

Publication date: 18 December 2013

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

logarithmic meanarithmetic meangeometric meanidentric meanbest constantshyperbolic cosinehyperbolic cotangenthyperbolic sine

Mathematics Subject Classification ID

Means (26E60) Inequalities involving other types of functions (26D07)

Related Items (11)

Sharper bounds and new proofs of the exponential function with cotangent ⋮ Generalized bounds for hyperbolic sine and hyperbolic cosine functions ⋮ Lazarević and Cusa type inequalities for hyperbolic functions with two parameters and their applications ⋮ A double inequality for an integral mean in terms of the exponential and logarithmic means ⋮ New inequalities for hyperbolic functions based on reparameterization ⋮ Jordan type inequalities for hyperbolic functions and their applications ⋮ Three families of two-parameter means constructed by trigonometric functions ⋮ Monotonicity rule for the quotient of two functions and its application ⋮ Conditionally conjugate mean-field variational Bayes for logistic models ⋮ Sharp inequalities of Mitrinovic-Adamovic type ⋮ Monotonicity criterion for the quotient of power series with applications

Cites Work

• A note on some inequalities for means
• On the identric and logarithmic means
• Extended mean values. II
• Ungleichungen für Mittelwerte. (Inequalities for means)
• Generalized elliptic integrals and modular equations
• Inequalities for means
• Inequalities for means in two variables
• Some new inequalities for means of two arguments
• The Power and Generalized Logarithmic Means
• The Logarithmic Mean

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