Alternative proofs for monotonic and logarithmically convex properties of one-parameter mean values

DOI10.1016/j.amc.2008.11.023zbMath1160.26008OpenAlexW2032381863MaRDI QIDQ1004166

Feng Qi, Sever Silvestru Dragomir, Pietro Cerone, Hari M. Srivastava

Publication date: 2 March 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2008.11.023

zbMATH Keywords

monotonicitylogarithmic convexityalternative proofsone-parameter mean values

Mathematics Subject Classification ID

Inequalities involving other types of functions (26D07)

Related Items (9)

An accurate approximation formula for gamma function ⋮ Completely monotonic degree of a function involving trigamma and tetragamma functions ⋮ The Function (b x − a x )∕x: Ratio’s Properties ⋮ Properties and refinements of Aczél-type inequalities ⋮ Some Steffensen-type inequalities over time scale measure spaces ⋮ On complete monotonicity of linear combination of finite psi functions ⋮ Integral representations and properties of Stirling numbers of the first kind ⋮ Refinements of lower bounds for polygamma functions ⋮ Sharp one-parameter mean bounds for Yang mean

Cites Work

• Refinements and extensions of an inequality. II
• Logarithmic convexity of the one-parameter mean values
• Logarithmic convexity of extended mean values
• A class ofk-log-convex functions and their applications to some special functions
• Monotonicity and logarithmic concavity of two functions involving exponential function
• The function (𝑏^{𝑥}-𝑎^{𝑥})/𝑥: Inequalities and properties
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